mat::Matrix< Treal, Telement > Class Template Reference

Matrix class and heart of the matrix library. More...

#include <Matrix.h>

Inheritance diagram for mat::Matrix< Treal, Telement >:
mat::MatrixHierarchicBase< Treal, Telement >

List of all members.

Public Types

typedef Telement ElementType
typedef Vector< Treal,
typename
ElementType::VectorType > 		VectorType

Public Member Functions

 Matrix ()
void allocate ()
void assignFromFull (std::vector< Treal > const &fullMat)
void fullMatrix (std::vector< Treal > &fullMat) const
void syFullMatrix (std::vector< Treal > &fullMat) const
void syUpTriFullMatrix (std::vector< Treal > &fullMat) const
void assignFromSparse (std::vector< int > const &rowind, std::vector< int > const &colind, std::vector< Treal > const &values)
void assignFromSparse (std::vector< int > const &rowind, std::vector< int > const &colind, std::vector< Treal > const &values, std::vector< int > const &indexes)
void addValues (std::vector< int > const &rowind, std::vector< int > const &colind, std::vector< Treal > const &values)
void addValues (std::vector< int > const &rowind, std::vector< int > const &colind, std::vector< Treal > const &values, std::vector< int > const &indexes)
void syAssignFromSparse (std::vector< int > const &rowind, std::vector< int > const &colind, std::vector< Treal > const &values)
void syAddValues (std::vector< int > const &rowind, std::vector< int > const &colind, std::vector< Treal > const &values)
void getValues (std::vector< int > const &rowind, std::vector< int > const &colind, std::vector< Treal > &values) const
void getValues (std::vector< int > const &rowind, std::vector< int > const &colind, std::vector< Treal > &, std::vector< int > const &indexes) const
void syGetValues (std::vector< int > const &rowind, std::vector< int > const &colind, std::vector< Treal > &values) const
void getAllValues (std::vector< int > &rowind, std::vector< int > &colind, std::vector< Treal > &) const
void syGetAllValues (std::vector< int > &rowind, std::vector< int > &colind, std::vector< Treal > &) const
Matrix< Treal, Telement > & operator= (const Matrix< Treal, Telement > &mat)
void clear ()
 ~Matrix ()
void writeToFile (std::ofstream &file) const
void readFromFile (std::ifstream &file)
void random ()
void syRandom ()
void randomZeroStructure (Treal probabilityBeingZero)
 Get a random zero structure with a specified probability that each submatrix is zero.
void syRandomZeroStructure (Treal probabilityBeingZero)
template<typename TRule >
void setElementsByRule (TRule &rule)
template<typename TRule >
void sySetElementsByRule (TRule &rule)
template<typename TRule >
void trSetElementsByRule (TRule &rule)
void addIdentity (Treal alpha)
void symToNosym ()
void nosymToSym ()
Matrix< Treal, Telement > & operator= (int const k)
Matrix< Treal, Telement > & operator*= (const Treal alpha)
Treal frob () const
Treal frobSquared () const
Treal syFrob () const
Treal syFrobSquared () const
Treal trace () const
void assign (Treal const alpha, Matrix< Treal, Telement > const &A)
void getFrobSqLowestLevel (std::vector< Treal > &frobsq) const
void frobThreshLowestLevel (Treal const threshold, Matrix< Treal, Telement > *ErrorMatrix)
void getFrobSqElementLevel (std::vector< Treal > &frobsq) const
void frobThreshElementLevel (Treal const threshold, Matrix< Treal, Telement > *ErrorMatrix)
void assignFrobNormsLowestLevel (Matrix< Treal, Matrix< Treal, Telement > > const &A)
 Build a matrix with single matrix elements at the lowest level containing the Frobenius norms of the submatrices of A.
void syAssignFrobNormsLowestLevel (Matrix< Treal, Matrix< Treal, Telement > > const &A)
 Version of assignFrobNormsLowestLevelToMatrix for symmetric matrices.
void assignDiffFrobNormsLowestLevel (Matrix< Treal, Matrix< Treal, Telement > > const &A, Matrix< Treal, Matrix< Treal, Telement > > const &B)
 Same as assignFrobNormsLowestLevel except that the Frobenius norms of the differences between submatrices of A and B are assigned.
void syAssignDiffFrobNormsLowestLevel (Matrix< Treal, Matrix< Treal, Telement > > const &A, Matrix< Treal, Matrix< Treal, Telement > > const &B)
 Same as syAssignFrobNormsLowestLevel except that the Frobenius norms of the differences between submatrices of A and B are assigned.
void truncateAccordingToSparsityPattern (Matrix< Treal, Matrix< Treal, Telement > > &A) const
 Truncate matrix A according to the sparsity pattern of the this matrix (frobNormMat).
Treal frob_thresh (Treal const threshold, Matrix< Treal, Telement > *ErrorMatrix=0)
 Removes small elements so that the introduced error is smaller than the threshold in the Frobenius norm Returns the Frobenius norm of the introduced error.
Treal frob_squared_thresh (Treal const threshold, Matrix< Treal, Telement > *ErrorMatrix=0)
 Removes small elements so that the introduced error is smaller than threshold in the squared Frobenius norm, returns squared frobenius norm of the introduced error added to ErrorMatrix.
void gershgorin (Treal &lmin, Treal &lmax) const
void sy_gershgorin (Treal &lmin, Treal &lmax) const
void add_abs_col_sums (Treal *abscolsums) const
void get_diagonal (Treal *diag) const
size_t memory_usage () const
size_t nnz () const
 Returns number of nonzeros in matrix.
size_t sy_nnz () const
 Returns number of nonzeros in matrix including lower triangle elements.
size_t nvalues () const
 Returns number of stored values in matrix.
size_t sy_nvalues () const
 Returns number of stored values in matrix.
template<typename Top >
Treal syAccumulateWith (Top &op)
template<typename Top >
Treal geAccumulateWith (Top &op)
 Accumulation algorithm for general matrices.
Treal maxAbsValue () const

Static Public Member Functions

static void transpose (Matrix< Treal, Telement > const &A, Matrix< Treal, Telement > &AT)
static void gemm (const bool tA, const bool tB, const Treal alpha, const Matrix< Treal, Telement > &A, const Matrix< Treal, Telement > &B, const Treal beta, Matrix< Treal, Telement > &C)
static void symm (const char side, const char uplo, const Treal alpha, const Matrix< Treal, Telement > &A, const Matrix< Treal, Telement > &B, const Treal beta, Matrix< Treal, Telement > &C)
static void syrk (const char uplo, const bool tA, const Treal alpha, const Matrix< Treal, Telement > &A, const Treal beta, Matrix< Treal, Telement > &C)
static void sysq (const char uplo, const Treal alpha, const Matrix< Treal, Telement > &A, const Treal beta, Matrix< Treal, Telement > &C)
static void ssmm (const Treal alpha, const Matrix< Treal, Telement > &A, const Matrix< Treal, Telement > &B, const Treal beta, Matrix< Treal, Telement > &C)
static void ssmm_upper_tr_only (const Treal alpha, const Matrix< Treal, Telement > &A, const Matrix< Treal, Telement > &B, const Treal beta, Matrix< Treal, Telement > &C)
static void trmm (const char side, const char uplo, const bool tA, const Treal alpha, const Matrix< Treal, Telement > &A, Matrix< Treal, Telement > &B)
static Treal frobDiff (const Matrix< Treal, Telement > &A, const Matrix< Treal, Telement > &B)
static Treal frobSquaredDiff (const Matrix< Treal, Telement > &A, const Matrix< Treal, Telement > &B)
static Treal syFrobDiff (const Matrix< Treal, Telement > &A, const Matrix< Treal, Telement > &B)
static Treal syFrobSquaredDiff (const Matrix< Treal, Telement > &A, const Matrix< Treal, Telement > &B)
static Treal trace_ab (const Matrix< Treal, Telement > &A, const Matrix< Treal, Telement > &B)
static Treal trace_aTb (const Matrix< Treal, Telement > &A, const Matrix< Treal, Telement > &B)
static Treal sy_trace_ab (const Matrix< Treal, Telement > &A, const Matrix< Treal, Telement > &B)
static void add (const Treal alpha, const Matrix< Treal, Telement > &A, Matrix< Treal, Telement > &B)
static void gemm_upper_tr_only (const bool tA, const bool tB, const Treal alpha, const Matrix< Treal, Telement > &A, const Matrix< Treal, Telement > &B, const Treal beta, Matrix< Treal, Telement > &C)
static void sytr_upper_tr_only (char const side, const Treal alpha, Matrix< Treal, Telement > &A, const Matrix< Treal, Telement > &Z)
static void trmm_upper_tr_only (const char side, const char uplo, const bool tA, const Treal alpha, const Matrix< Treal, Telement > &A, Matrix< Treal, Telement > &B)
static void trsytriplemm (char const side, const Matrix< Treal, Telement > &Z, Matrix< Treal, Telement > &A)
static void syInch (const Matrix< Treal, Telement > &A, Matrix< Treal, Telement > &Z, const Treal threshold=0, const side looking=left, const inchversion version=unstable)
static unsigned int level ()

Friends

class Vector< Treal, Telement >

Detailed Description

template<class Treal, class Telement = Treal>
class mat::Matrix< Treal, Telement >

Matrix class and heart of the matrix library.

This class is used to obtain the hierarchic data structure.

See also:
MatrixHierarchicBase
Permutation

Member Typedef Documentation

template<class Treal, class Telement = Treal>
typedef Telement mat::Matrix< Treal, Telement >::ElementType
template<class Treal, class Telement = Treal>
typedef Vector<Treal, typename ElementType::VectorType> mat::Matrix< Treal, Telement >::VectorType

Constructor & Destructor Documentation

template<class Treal, class Telement = Treal>
mat::Matrix< Treal, Telement >::Matrix (  )  [inline]
template<class Treal, class Telement = Treal>
mat::Matrix< Treal, Telement >::~Matrix (  )  [inline]

References mat::Matrix< Treal, Telement >::clear().

Member Function Documentation

template<class Treal , class Telement >
void mat::Matrix< Treal, Telement >::add ( const Treal  alpha,
const Matrix< Treal, Telement > &  A,
Matrix< Treal, Telement > &  B 
) [inline, static]

References mat::Matrix< Treal, Telement >::allocate(), mat::MatrixHierarchicBase< Treal, Telement >::assert(), mat::MatrixHierarchicBase< Treal, Telement >::elements, mat::MatrixHierarchicBase< Treal, Telement >::ncols(), and mat::MatrixHierarchicBase< Treal, Telement >::nrows().

Referenced by mat::Matrix< Treal >::assign(), mat::Matrix< Treal, Telement >::assign(), mat::Matrix< Treal >::assignDiffFrobNormsLowestLevel(), mat::Matrix< Treal >::syAssignDiffFrobNormsLowestLevel(), and mat::Matrix< Treal, Telement >::syInch().

template<class Treal , class Telement >
void mat::Matrix< Treal, Telement >::add_abs_col_sums ( Treal *  abscolsums  )  const [inline]

References mat::MatrixHierarchicBase< Treal, Telement >::assert(), mat::MatrixHierarchicBase< Treal, Telement >::ncols(), mat::MatrixHierarchicBase< Treal, Telement >::nrows(), and mat::MatrixHierarchicBase< Treal, Telement >::nScalarsCols().

Referenced by mat::Matrix< Treal >::gershgorin(), and mat::Matrix< Treal, Telement >::gershgorin().

template<class Treal , class Telement >
void mat::Matrix< Treal, Telement >::addIdentity ( Treal  alpha  )  [inline]

References mat::Matrix< Treal, Telement >::allocate(), mat::MatrixHierarchicBase< Treal, Telement >::ncols(), and mat::MatrixHierarchicBase< Treal, Telement >::nrows().

template<class Treal , class Telement >
void mat::Matrix< Treal, Telement >::addValues ( std::vector< int > const &  rowind,
std::vector< int > const &  colind,
std::vector< Treal > const &  values,
std::vector< int > const &  indexes 
) [inline]

References mat::Matrix< Treal, Telement >::addValues(), mat::Matrix< Treal, Telement >::allocate(), mat::MatrixHierarchicBase< Treal, Telement >::cols, mat::SizesAndBlocks::getNBlocks(), mat::MatrixHierarchicBase< Treal, Telement >::ncols(), mat::MatrixHierarchicBase< Treal, Telement >::nrows(), mat::MatrixHierarchicBase< Treal, Telement >::rows, and mat::SizesAndBlocks::whichBlock().

template<class Treal , class Telement >
void mat::Matrix< Treal, Telement >::addValues ( std::vector< int > const &  rowind,
std::vector< int > const &  colind,
std::vector< Treal > const &  values 
) [inline]

References mat::MatrixHierarchicBase< Treal, Telement >::assert().

Referenced by mat::Matrix< Treal >::addValues(), mat::Matrix< Treal, Telement >::addValues(), mat::Matrix< Treal >::syAddValues(), and mat::Matrix< Treal, Telement >::syAddValues().

template<class Treal, class Telement = Treal>
void mat::Matrix< Treal, Telement >::allocate (  )  [inline]

References mat::SingletonForTimings::addTime(), mat::MatrixHierarchicBase< Treal, Telement >::assert(), mat::MatrixHierarchicBase< Treal, Telement >::cols, mat::MatrixHierarchicBase< Treal, Telement >::elements, mat::SizesAndBlocks::getNBlocks(), mat::SizesAndBlocks::getSizesAndBlocksForLowerLevel(), mat::SingletonForTimings::instance(), mat::MatrixHierarchicBase< Treal, Telement >::rows, mat::Time::tic(), and mat::Time::toc().

Referenced by mat::Matrix< Treal, Telement >::add(), mat::Matrix< Treal >::addIdentity(), mat::Matrix< Treal, Telement >::addIdentity(), mat::Matrix< Treal >::addValues(), mat::Matrix< Treal, Telement >::addValues(), mat::Matrix< Treal >::assignDiffFrobNormsLowestLevel(), mat::Matrix< Treal >::assignFrobNormsLowestLevel(), mat::Matrix< Treal >::assignFromFull(), mat::Matrix< Treal, Telement >::assignFromFull(), mat::Matrix< Treal >::assignFromSparse(), mat::Matrix< Treal, Telement >::assignFromSparse(), mat::Matrix< Treal, Telement >::frobThreshElementLevel(), mat::Matrix< Treal, Telement >::frobThreshLowestLevel(), mat::Matrix< Treal, Telement >::gemm(), mat::Matrix< Treal, Telement >::gemm_upper_tr_only(), mat::Matrix< Treal >::operator=(), mat::Matrix< Treal, Telement >::operator=(), mat::Matrix< Treal >::random(), mat::Matrix< Treal, Telement >::random(), mat::Matrix< Treal, Telement >::randomZeroStructure(), mat::Matrix< Treal >::readFromFile(), mat::Matrix< Treal, Telement >::readFromFile(), mat::Matrix< Treal >::setElementsByRule(), mat::Matrix< Treal, Telement >::setElementsByRule(), mat::Matrix< Treal, Telement >::ssmm(), mat::Matrix< Treal, Telement >::ssmm_upper_tr_only(), mat::Matrix< Treal >::syAssignDiffFrobNormsLowestLevel(), mat::Matrix< Treal >::syAssignFrobNormsLowestLevel(), mat::Matrix< Treal, Telement >::syInch(), mat::Matrix< Treal, Telement >::symm(), mat::Matrix< Treal >::syRandom(), mat::Matrix< Treal, Telement >::syRandom(), mat::Matrix< Treal, Telement >::syRandomZeroStructure(), mat::Matrix< Treal, Telement >::syrk(), mat::Matrix< Treal >::sySetElementsByRule(), mat::Matrix< Treal, Telement >::sySetElementsByRule(), and mat::Matrix< Treal, Telement >::sysq().

template<class Treal , class Telement >
void mat::Matrix< Treal, Telement >::assign ( Treal const   alpha,
Matrix< Treal, Telement > const &  A 
) [inline]

References mat::Matrix< Treal, Telement >::add(), mat::MatrixHierarchicBase< Treal, Telement >::assert(), mat::MatrixHierarchicBase< Treal, Telement >::cols, and mat::MatrixHierarchicBase< Treal, Telement >::rows.

template<class Treal , class Telement >
void mat::Matrix< Treal, Telement >::assignDiffFrobNormsLowestLevel ( Matrix< Treal, Matrix< Treal, Telement > > const &  A,
Matrix< Treal, Matrix< Treal, Telement > > const &  B 
) [inline]

Same as assignFrobNormsLowestLevel except that the Frobenius norms of the differences between submatrices of A and B are assigned.

template<class Treal , class Telement >
void mat::Matrix< Treal, Telement >::assignFrobNormsLowestLevel ( Matrix< Treal, Matrix< Treal, Telement > > const &  A  )  [inline]

Build a matrix with single matrix elements at the lowest level containing the Frobenius norms of the submatrices of A.

Referenced by mat::Matrix< Treal >::assignDiffFrobNormsLowestLevel().

template<class Treal , class Telement >
void mat::Matrix< Treal, Telement >::assignFromFull ( std::vector< Treal > const &  fullMat  )  [inline]

References mat::Matrix< Treal, Telement >::allocate(), mat::MatrixHierarchicBase< Treal, Telement >::assert(), mat::MatrixHierarchicBase< Treal, Telement >::cols, mat::SizesAndBlocks::getNTotalScalars(), mat::MatrixHierarchicBase< Treal, Telement >::ncols(), mat::MatrixHierarchicBase< Treal, Telement >::nrows(), and mat::MatrixHierarchicBase< Treal, Telement >::rows.

template<class Treal , class Telement >
void mat::Matrix< Treal, Telement >::assignFromSparse ( std::vector< int > const &  rowind,
std::vector< int > const &  colind,
std::vector< Treal > const &  values,
std::vector< int > const &  indexes 
) [inline]

References mat::Matrix< Treal, Telement >::allocate(), mat::Matrix< Treal, Telement >::assignFromSparse(), mat::Matrix< Treal, Telement >::clear(), mat::MatrixHierarchicBase< Treal, Telement >::cols, mat::SizesAndBlocks::getNBlocks(), mat::MatrixHierarchicBase< Treal, Telement >::ncols(), mat::MatrixHierarchicBase< Treal, Telement >::nrows(), mat::MatrixHierarchicBase< Treal, Telement >::rows, and mat::SizesAndBlocks::whichBlock().

template<class Treal , class Telement >
void mat::Matrix< Treal, Telement >::assignFromSparse ( std::vector< int > const &  rowind,
std::vector< int > const &  colind,
std::vector< Treal > const &  values 
) [inline]

References mat::MatrixHierarchicBase< Treal, Telement >::assert().

Referenced by mat::Matrix< Treal >::assignFromSparse(), mat::Matrix< Treal, Telement >::assignFromSparse(), mat::Matrix< Treal >::syAssignFromSparse(), and mat::Matrix< Treal, Telement >::syAssignFromSparse().

template<class Treal , class Telement >
void mat::Matrix< Treal, Telement >::clear (  )  [inline]

References mat::MatrixHierarchicBase< Treal, Telement >::elements, and mat::freeElements().

Referenced by mat::Matrix< Treal >::assignDiffFrobNormsLowestLevel(), mat::Matrix< Treal >::assignFrobNormsLowestLevel(), mat::Matrix< Treal >::assignFromSparse(), mat::Matrix< Treal, Telement >::assignFromSparse(), mat::Matrix< Treal, Telement >::frobThreshElementLevel(), mat::Matrix< Treal, Telement >::frobThreshLowestLevel(), mat::Matrix< Treal, Telement >::nosymToSym(), mat::Matrix< Treal >::operator=(), mat::Matrix< Treal, Telement >::operator=(), mat::Matrix< Treal >::randomZeroStructure(), mat::Matrix< Treal, Telement >::randomZeroStructure(), mat::Matrix< Treal >::readFromFile(), mat::Matrix< Treal, Telement >::readFromFile(), mat::Matrix< Treal >::syAssignDiffFrobNormsLowestLevel(), mat::Matrix< Treal >::syAssignFrobNormsLowestLevel(), mat::Matrix< Treal >::syRandomZeroStructure(), mat::Matrix< Treal, Telement >::syRandomZeroStructure(), mat::Matrix< Treal, Telement >::truncateAccordingToSparsityPattern(), mat::Matrix< Treal >::~Matrix(), and mat::Matrix< Treal, Telement >::~Matrix().

template<class Treal, class Telement = Treal>
Treal mat::Matrix< Treal, Telement >::frob (  )  const [inline]

References mat::Matrix< Treal, Telement >::frobSquared(), and template_blas_sqrt().

Referenced by mat::Matrix< Treal >::assignFrobNormsLowestLevel().

template<class Treal , class Telement >
Treal mat::Matrix< Treal, Telement >::frob_squared_thresh ( Treal const   threshold,
Matrix< Treal, Telement > *  ErrorMatrix = 0 
) [inline]

Removes small elements so that the introduced error is smaller than threshold in the squared Frobenius norm, returns squared frobenius norm of the introduced error added to ErrorMatrix.

References mat::MatrixHierarchicBase< Treal, Telement >::assert(), mat::MatrixHierarchicBase< Treal, Telement >::cols, mat::Matrix< Treal, Telement >::frobThreshLowestLevel(), mat::Matrix< Treal, Telement >::getFrobSqLowestLevel(), mat::MatrixHierarchicBase< Treal, Telement >::rows, and mat::MatrixHierarchicBase< Treal, Telement >::swap().

Referenced by mat::Matrix< Treal >::frob_thresh(), and mat::Matrix< Treal, Telement >::frob_thresh().

template<class Treal, class Telement = Treal>
Treal mat::Matrix< Treal, Telement >::frob_thresh ( Treal const   threshold,
Matrix< Treal, Telement > *  ErrorMatrix = 0 
) [inline]

Removes small elements so that the introduced error is smaller than the threshold in the Frobenius norm Returns the Frobenius norm of the introduced error.

References mat::Matrix< Treal, Telement >::frob_squared_thresh(), and template_blas_sqrt().

Referenced by mat::Matrix< Treal, Telement >::syInch().

template<class Treal, class Telement = Treal>
static Treal mat::Matrix< Treal, Telement >::frobDiff ( const Matrix< Treal, Telement > &  A,
const Matrix< Treal, Telement > &  B 
) [inline, static]

References mat::Matrix< Treal, Telement >::frobSquaredDiff(), and template_blas_sqrt().

template<class Treal , class Telement >
Treal mat::Matrix< Treal, Telement >::frobSquared (  )  const [inline]

References mat::MatrixHierarchicBase< Treal, Telement >::assert(), and mat::MatrixHierarchicBase< Treal, Telement >::elements.

Referenced by mat::Matrix< Treal >::frob(), mat::Matrix< Treal, Telement >::frob(), mat::Matrix< Treal, Telement >::frobSquaredDiff(), mat::Matrix< Treal >::getFrobSqLowestLevel(), and mat::Matrix< Treal, Telement >::syFrobSquared().

template<class Treal , class Telement >
Treal mat::Matrix< Treal, Telement >::frobSquaredDiff ( const Matrix< Treal, Telement > &  A,
const Matrix< Treal, Telement > &  B 
) [inline, static]

References mat::MatrixHierarchicBase< Treal, Telement >::elements, mat::Matrix< Treal, Telement >::frobSquared(), mat::MatrixHierarchicBase< Treal, Telement >::ncols(), and mat::MatrixHierarchicBase< Treal, Telement >::nrows().

Referenced by mat::Matrix< Treal >::frobDiff(), and mat::Matrix< Treal, Telement >::frobDiff().

template<class Treal , class Telement >
void mat::Matrix< Treal, Telement >::frobThreshElementLevel ( Treal const   threshold,
Matrix< Treal, Telement > *  ErrorMatrix 
) [inline]

References mat::Matrix< Treal, Telement >::allocate(), mat::Matrix< Treal, Telement >::clear(), and mat::MatrixHierarchicBase< Treal, Telement >::elements.

template<class Treal , class Telement >
void mat::Matrix< Treal, Telement >::frobThreshLowestLevel ( Treal const   threshold,
Matrix< Treal, Telement > *  ErrorMatrix 
) [inline]

References mat::Matrix< Treal, Telement >::allocate(), mat::Matrix< Treal, Telement >::clear(), and mat::MatrixHierarchicBase< Treal, Telement >::elements.

Referenced by mat::Matrix< Treal, Telement >::frob_squared_thresh().

template<class Treal , class Telement >
void mat::Matrix< Treal, Telement >::fullMatrix ( std::vector< Treal > &  fullMat  )  const [inline]

References mat::MatrixHierarchicBase< Treal, Telement >::cols, mat::SizesAndBlocks::getNTotalScalars(), mat::SizesAndBlocks::getOffset(), mat::MatrixHierarchicBase< Treal, Telement >::ncols(), mat::MatrixHierarchicBase< Treal, Telement >::nrows(), mat::MatrixHierarchicBase< Treal, Telement >::nScalarsCols(), mat::MatrixHierarchicBase< Treal, Telement >::nScalarsRows(), and mat::MatrixHierarchicBase< Treal, Telement >::rows.

template<class Treal, class Telement = Treal>
template<typename Top >
Treal mat::Matrix< Treal, Telement >::geAccumulateWith ( Top &  op  )  [inline]

Accumulation algorithm for general matrices.

References mat::MatrixHierarchicBase< Treal, Telement >::ncols(), and mat::MatrixHierarchicBase< Treal, Telement >::nrows().

Referenced by mat::Matrix< Treal, Telement >::syAccumulateWith().

template<class Treal , class Telement >
void mat::Matrix< Treal, Telement >::gemm ( const bool  tA,
const bool  tB,
const Treal  alpha,
const Matrix< Treal, Telement > &  A,
const Matrix< Treal, Telement > &  B,
const Treal  beta,
Matrix< Treal, Telement > &  C 
) [inline, static]

References mat::Matrix< Treal, Telement >::allocate(), mat::MatrixHierarchicBase< Treal, Telement >::assert(), mat::MatrixHierarchicBase< Treal, Telement >::cols, mat::gemm(), MAT_OMP_END, MAT_OMP_FINALIZE, MAT_OMP_INIT, MAT_OMP_START, mat::MatrixHierarchicBase< Treal, Telement >::ncols(), mat::MatrixHierarchicBase< Treal, Telement >::nrows(), and mat::MatrixHierarchicBase< Treal, Telement >::rows.

Referenced by mat::Matrix< Treal >::gemm_upper_tr_only(), mat::Matrix< Treal, Telement >::gemm_upper_tr_only(), mat::Matrix< Treal, Telement >::syrk(), and mat::Matrix< Treal, Telement >::sytr_upper_tr_only().

template<class Treal , class Telement >
void mat::Matrix< Treal, Telement >::gemm_upper_tr_only ( const bool  tA,
const bool  tB,
const Treal  alpha,
const Matrix< Treal, Telement > &  A,
const Matrix< Treal, Telement > &  B,
const Treal  beta,
Matrix< Treal, Telement > &  C 
) [inline, static]

References mat::Matrix< Treal, Telement >::allocate(), mat::MatrixHierarchicBase< Treal, Telement >::assert(), mat::MatrixHierarchicBase< Treal, Telement >::cols, mat::gemm(), mat::Matrix< Treal, Telement >::gemm(), mat::MatrixHierarchicBase< Treal, Telement >::ncols(), mat::MatrixHierarchicBase< Treal, Telement >::nrows(), and mat::MatrixHierarchicBase< Treal, Telement >::rows.

Referenced by mat::Matrix< Treal, Telement >::sytr_upper_tr_only().

template<class Treal , class Telement >
void mat::Matrix< Treal, Telement >::gershgorin ( Treal &  lmin,
Treal &  lmax 
) const [inline]

References mat::Matrix< Treal, Telement >::add_abs_col_sums(), mat::MatrixHierarchicBase< Treal, Telement >::assert(), mat::Matrix< Treal, Telement >::get_diagonal(), mat::MatrixHierarchicBase< Treal, Telement >::nScalarsCols(), mat::MatrixHierarchicBase< Treal, Telement >::nScalarsRows(), and template_blas_fabs().

Referenced by mat::Matrix< Treal, Telement >::sy_gershgorin().

template<class Treal , class Telement >
void mat::Matrix< Treal, Telement >::get_diagonal ( Treal *  diag  )  const [inline]

References mat::MatrixHierarchicBase< Treal, Telement >::assert(), mat::MatrixHierarchicBase< Treal, Telement >::ncols(), mat::MatrixHierarchicBase< Treal, Telement >::nrows(), and mat::MatrixHierarchicBase< Treal, Telement >::nScalarsCols().

Referenced by mat::Matrix< Treal >::gershgorin(), and mat::Matrix< Treal, Telement >::gershgorin().

template<class Treal , class Telement >
void mat::Matrix< Treal, Telement >::getAllValues ( std::vector< int > &  rowind,
std::vector< int > &  colind,
std::vector< Treal > &  values 
) const [inline]

References mat::MatrixHierarchicBase< Treal, Telement >::assert(), and mat::MatrixHierarchicBase< Treal, Telement >::elements.

Referenced by mat::Matrix< Treal, Telement >::syGetAllValues().

template<class Treal , class Telement >
void mat::Matrix< Treal, Telement >::getFrobSqElementLevel ( std::vector< Treal > &  frobsq  )  const [inline]

References mat::MatrixHierarchicBase< Treal, Telement >::elements.

template<class Treal , class Telement >
void mat::Matrix< Treal, Telement >::getFrobSqLowestLevel ( std::vector< Treal > &  frobsq  )  const [inline]

References mat::MatrixHierarchicBase< Treal, Telement >::elements.

Referenced by mat::Matrix< Treal, Telement >::frob_squared_thresh().

template<class Treal , class Telement >
void mat::Matrix< Treal, Telement >::getValues ( std::vector< int > const &  rowind,
std::vector< int > const &  colind,
std::vector< Treal > &  values,
std::vector< int > const &  indexes 
) const [inline]

References mat::MatrixHierarchicBase< Treal, Telement >::assert(), mat::MatrixHierarchicBase< Treal, Telement >::cols, mat::SizesAndBlocks::getNBlocks(), mat::Matrix< Treal, Telement >::getValues(), mat::MatrixHierarchicBase< Treal, Telement >::ncols(), mat::MatrixHierarchicBase< Treal, Telement >::nrows(), mat::MatrixHierarchicBase< Treal, Telement >::rows, and mat::SizesAndBlocks::whichBlock().

template<class Treal , class Telement >
void mat::Matrix< Treal, Telement >::getValues ( std::vector< int > const &  rowind,
std::vector< int > const &  colind,
std::vector< Treal > &  values 
) const [inline]

References mat::MatrixHierarchicBase< Treal, Telement >::assert().

Referenced by mat::Matrix< Treal >::getValues(), mat::Matrix< Treal, Telement >::getValues(), mat::Matrix< Treal >::syGetValues(), and mat::Matrix< Treal, Telement >::syGetValues().

template<class Treal, class Telement = Treal>
static unsigned int mat::Matrix< Treal, Telement >::level (  )  [inline, static]
template<class Treal, class Telement = Treal>
Treal mat::Matrix< Treal, Telement >::maxAbsValue (  )  const [inline]

References mat::MatrixHierarchicBase< Treal, Telement >::elements.

template<class Treal , class Telement >
size_t mat::Matrix< Treal, Telement >::memory_usage (  )  const [inline]

References mat::MatrixHierarchicBase< Treal, Telement >::assert(), and mat::MatrixHierarchicBase< Treal, Telement >::elements.

template<class Treal , class Telement >
size_t mat::Matrix< Treal, Telement >::nnz (  )  const [inline]

Returns number of nonzeros in matrix.

References mat::MatrixHierarchicBase< Treal, Telement >::elements.

Referenced by mat::Matrix< Treal >::nvalues(), mat::Matrix< Treal, Telement >::nvalues(), and mat::Matrix< Treal, Telement >::sy_nnz().

template<class Treal , class Telement >
void mat::Matrix< Treal, Telement >::nosymToSym (  )  [inline]

References mat::Matrix< Treal, Telement >::clear(), mat::MatrixHierarchicBase< Treal, Telement >::ncols(), and mat::MatrixHierarchicBase< Treal, Telement >::nrows().

template<class Treal, class Telement = Treal>
size_t mat::Matrix< Treal, Telement >::nvalues (  )  const [inline]

Returns number of stored values in matrix.

Returns same number as nnz()

References mat::Matrix< Treal, Telement >::nnz().

Referenced by mat::Matrix< Treal, Telement >::sy_nvalues().

template<class Treal , class Telement >
Matrix< Treal, Telement > & mat::Matrix< Treal, Telement >::operator*= ( const Treal  alpha  )  [inline]

References mat::MatrixHierarchicBase< Treal, Telement >::elements.

template<class Treal , class Telement >
Matrix< Treal, Telement > & mat::Matrix< Treal, Telement >::operator= ( int const   k  )  [inline]

References mat::Matrix< Treal, Telement >::allocate(), mat::Matrix< Treal, Telement >::clear(), mat::MatrixHierarchicBase< Treal, Telement >::ncols(), and mat::MatrixHierarchicBase< Treal, Telement >::nrows().

template<class Treal, class Telement = Treal>
Matrix<Treal, Telement>& mat::Matrix< Treal, Telement >::operator= ( const Matrix< Treal, Telement > &  mat  )  [inline]

Reimplemented from mat::MatrixHierarchicBase< Treal, Telement >.

Referenced by mat::Matrix< Treal >::operator=().

template<class Treal , class Telement >
void mat::Matrix< Treal, Telement >::random (  )  [inline]

References mat::Matrix< Treal, Telement >::allocate(), and mat::MatrixHierarchicBase< Treal, Telement >::elements.

Referenced by mat::Matrix< Treal >::randomZeroStructure(), and mat::Matrix< Treal, Telement >::syRandom().

template<class Treal , class Telement >
void mat::Matrix< Treal, Telement >::randomZeroStructure ( Treal  probabilityBeingZero  )  [inline]

Get a random zero structure with a specified probability that each submatrix is zero.

References mat::Matrix< Treal, Telement >::allocate(), mat::Matrix< Treal, Telement >::clear(), and mat::MatrixHierarchicBase< Treal, Telement >::elements.

Referenced by mat::Matrix< Treal, Telement >::syRandomZeroStructure().

template<class Treal , class Telement >
void mat::Matrix< Treal, Telement >::readFromFile ( std::ifstream &  file  )  [inline]

References mat::Matrix< Treal, Telement >::allocate(), mat::Matrix< Treal, Telement >::clear(), and mat::MatrixHierarchicBase< Treal, Telement >::elements.

template<class Treal , class Telement >
template<typename TRule >
void mat::Matrix< Treal, Telement >::setElementsByRule ( TRule &  rule  )  [inline]

References mat::Matrix< Treal, Telement >::allocate(), and mat::MatrixHierarchicBase< Treal, Telement >::elements.

Referenced by mat::Matrix< Treal, Telement >::sySetElementsByRule().

template<class Treal , class Telement >
void mat::Matrix< Treal, Telement >::ssmm ( const Treal  alpha,
const Matrix< Treal, Telement > &  A,
const Matrix< Treal, Telement > &  B,
const Treal  beta,
Matrix< Treal, Telement > &  C 
) [inline, static]

References mat::Matrix< Treal, Telement >::allocate(), mat::MatrixHierarchicBase< Treal, Telement >::assert(), mat::MatrixHierarchicBase< Treal, Telement >::cols, mat::gemm(), MAT_OMP_END, MAT_OMP_FINALIZE, MAT_OMP_INIT, MAT_OMP_START, mat::MatrixHierarchicBase< Treal, Telement >::ncols(), mat::MatrixHierarchicBase< Treal, Telement >::nrows(), mat::MatrixHierarchicBase< Treal, Telement >::rows, mat::Matrix< Treal, Telement >::symm(), and mat::Matrix< Treal, Telement >::transpose().

Referenced by mat::Matrix< Treal >::ssmm_upper_tr_only().

template<class Treal , class Telement >
void mat::Matrix< Treal, Telement >::ssmm_upper_tr_only ( const Treal  alpha,
const Matrix< Treal, Telement > &  A,
const Matrix< Treal, Telement > &  B,
const Treal  beta,
Matrix< Treal, Telement > &  C 
) [inline, static]

References mat::Matrix< Treal, Telement >::allocate(), mat::MatrixHierarchicBase< Treal, Telement >::assert(), mat::MatrixHierarchicBase< Treal, Telement >::cols, mat::gemm(), MAT_OMP_END, MAT_OMP_FINALIZE, MAT_OMP_INIT, MAT_OMP_START, mat::MatrixHierarchicBase< Treal, Telement >::ncols(), mat::MatrixHierarchicBase< Treal, Telement >::nrows(), mat::MatrixHierarchicBase< Treal, Telement >::rows, and mat::Matrix< Treal, Telement >::symm().

template<class Treal, class Telement = Treal>
void mat::Matrix< Treal, Telement >::sy_gershgorin ( Treal &  lmin,
Treal &  lmax 
) const [inline]

References mat::Matrix< Treal, Telement >::gershgorin(), and mat::Matrix< Treal, Telement >::symToNosym().

template<class Treal , class Telement >
size_t mat::Matrix< Treal, Telement >::sy_nnz (  )  const [inline]

Returns number of nonzeros in matrix including lower triangle elements.

References mat::MatrixHierarchicBase< Treal, Telement >::ncols(), mat::Matrix< Treal, Telement >::nnz(), and mat::MatrixHierarchicBase< Treal, Telement >::nrows().

template<class Treal , class Telement >
size_t mat::Matrix< Treal, Telement >::sy_nvalues (  )  const [inline]

Returns number of stored values in matrix.

Lower triangle is not included. Lower triangle in diagonal submatrices is not included as well. Different from sy_nnz().

References mat::MatrixHierarchicBase< Treal, Telement >::ncols(), mat::MatrixHierarchicBase< Treal, Telement >::nrows(), and mat::Matrix< Treal, Telement >::nvalues().

template<class Treal , class Telement >
Treal mat::Matrix< Treal, Telement >::sy_trace_ab ( const Matrix< Treal, Telement > &  A,
const Matrix< Treal, Telement > &  B 
) [inline, static]

References mat::MatrixHierarchicBase< Treal, Telement >::assert(), mat::MatrixHierarchicBase< Treal, Telement >::ncols(), and mat::MatrixHierarchicBase< Treal, Telement >::nrows().

template<class Treal, class Telement = Treal>
template<typename Top >
Treal mat::Matrix< Treal, Telement >::syAccumulateWith ( Top &  op  )  [inline]

References mat::Matrix< Treal, Telement >::geAccumulateWith(), and mat::MatrixHierarchicBase< Treal, Telement >::ncols().

template<class Treal , class Telement >
void mat::Matrix< Treal, Telement >::syAddValues ( std::vector< int > const &  rowind,
std::vector< int > const &  colind,
std::vector< Treal > const &  values 
) [inline]

References mat::Matrix< Treal, Telement >::addValues(), and mat::MatrixHierarchicBase< Treal, Telement >::assert().

template<class Treal , class Telement >
void mat::Matrix< Treal, Telement >::syAssignDiffFrobNormsLowestLevel ( Matrix< Treal, Matrix< Treal, Telement > > const &  A,
Matrix< Treal, Matrix< Treal, Telement > > const &  B 
) [inline]

Same as syAssignFrobNormsLowestLevel except that the Frobenius norms of the differences between submatrices of A and B are assigned.

template<class Treal , class Telement >
void mat::Matrix< Treal, Telement >::syAssignFrobNormsLowestLevel ( Matrix< Treal, Matrix< Treal, Telement > > const &  A  )  [inline]

Version of assignFrobNormsLowestLevelToMatrix for symmetric matrices.

References mat::MatrixHierarchicBase< Treal, Telement >::ncols(), and mat::MatrixHierarchicBase< Treal, Telement >::nrows().

Referenced by mat::Matrix< Treal >::syAssignDiffFrobNormsLowestLevel().

template<class Treal , class Telement >
void mat::Matrix< Treal, Telement >::syAssignFromSparse ( std::vector< int > const &  rowind,
std::vector< int > const &  colind,
std::vector< Treal > const &  values 
) [inline]

References mat::MatrixHierarchicBase< Treal, Telement >::assert(), and mat::Matrix< Treal, Telement >::assignFromSparse().

template<class Treal, class Telement = Treal>
Treal mat::Matrix< Treal, Telement >::syFrob (  )  const [inline]

References mat::Matrix< Treal, Telement >::syFrobSquared(), and template_blas_sqrt().

template<class Treal, class Telement = Treal>
static Treal mat::Matrix< Treal, Telement >::syFrobDiff ( const Matrix< Treal, Telement > &  A,
const Matrix< Treal, Telement > &  B 
) [inline, static]

References mat::Matrix< Treal, Telement >::syFrobSquaredDiff(), and template_blas_sqrt().

template<class Treal , class Telement >
Treal mat::Matrix< Treal, Telement >::syFrobSquared (  )  const [inline]

References mat::MatrixHierarchicBase< Treal, Telement >::assert(), mat::Matrix< Treal, Telement >::frobSquared(), mat::MatrixHierarchicBase< Treal, Telement >::ncols(), and mat::MatrixHierarchicBase< Treal, Telement >::nrows().

Referenced by mat::Matrix< Treal >::syFrob(), mat::Matrix< Treal, Telement >::syFrob(), and mat::Matrix< Treal, Telement >::syFrobSquaredDiff().

template<class Treal , class Telement >
Treal mat::Matrix< Treal, Telement >::syFrobSquaredDiff ( const Matrix< Treal, Telement > &  A,
const Matrix< Treal, Telement > &  B 
) [inline, static]

References mat::MatrixHierarchicBase< Treal, Telement >::ncols(), mat::MatrixHierarchicBase< Treal, Telement >::nrows(), and mat::Matrix< Treal, Telement >::syFrobSquared().

Referenced by mat::Matrix< Treal >::syFrobDiff(), and mat::Matrix< Treal, Telement >::syFrobDiff().

template<class Treal , class Telement >
void mat::Matrix< Treal, Telement >::syFullMatrix ( std::vector< Treal > &  fullMat  )  const [inline]

References mat::MatrixHierarchicBase< Treal, Telement >::cols, mat::SizesAndBlocks::getNTotalScalars(), mat::SizesAndBlocks::getOffset(), mat::MatrixHierarchicBase< Treal, Telement >::ncols(), mat::MatrixHierarchicBase< Treal, Telement >::nScalarsCols(), mat::MatrixHierarchicBase< Treal, Telement >::rows, and mat::Matrix< Treal, Telement >::syUpTriFullMatrix().

template<class Treal , class Telement >
void mat::Matrix< Treal, Telement >::syGetAllValues ( std::vector< int > &  rowind,
std::vector< int > &  colind,
std::vector< Treal > &  values 
) const [inline]

References mat::MatrixHierarchicBase< Treal, Telement >::assert(), mat::Matrix< Treal, Telement >::getAllValues(), and mat::MatrixHierarchicBase< Treal, Telement >::ncols().

template<class Treal , class Telement >
void mat::Matrix< Treal, Telement >::syGetValues ( std::vector< int > const &  rowind,
std::vector< int > const &  colind,
std::vector< Treal > &  values 
) const [inline]

References mat::MatrixHierarchicBase< Treal, Telement >::assert(), and mat::Matrix< Treal, Telement >::getValues().

template<class Treal , class Telement >
void mat::Matrix< Treal, Telement >::syInch ( const Matrix< Treal, Telement > &  A,
Matrix< Treal, Telement > &  Z,
const Treal  threshold = 0,
const side  looking = left,
const inchversion  version = unstable 
) [inline, static]

References mat::Matrix< Treal, Telement >::add(), mat::Matrix< Treal, Telement >::allocate(), mat::MatrixHierarchicBase< Treal, Telement >::assert(), mat::MatrixHierarchicBase< Treal, Telement >::cols, mat::Matrix< Treal, Telement >::frob_thresh(), mat::gemm(), mat::left, mat::MatrixHierarchicBase< Treal, Telement >::ncols(), mat::MatrixHierarchicBase< Treal, Telement >::nrows(), mat::right, mat::MatrixHierarchicBase< Treal, Telement >::rows, mat::stable, and mat::Matrix< Treal, Telement >::trmm().

template<class Treal , class Telement >
void mat::Matrix< Treal, Telement >::symm ( const char  side,
const char  uplo,
const Treal  alpha,
const Matrix< Treal, Telement > &  A,
const Matrix< Treal, Telement > &  B,
const Treal  beta,
Matrix< Treal, Telement > &  C 
) [inline, static]

References mat::Matrix< Treal, Telement >::allocate(), mat::MatrixHierarchicBase< Treal, Telement >::assert(), mat::MatrixHierarchicBase< Treal, Telement >::cols, mat::gemm(), MAT_OMP_END, MAT_OMP_FINALIZE, MAT_OMP_INIT, MAT_OMP_START, mat::MatrixHierarchicBase< Treal, Telement >::ncols(), mat::MatrixHierarchicBase< Treal, Telement >::nrows(), and mat::MatrixHierarchicBase< Treal, Telement >::rows.

Referenced by mat::Matrix< Treal >::ssmm(), mat::Matrix< Treal, Telement >::ssmm(), mat::Matrix< Treal, Telement >::ssmm_upper_tr_only(), mat::Matrix< Treal, Telement >::sysq(), and mat::Matrix< Treal, Telement >::sytr_upper_tr_only().

template<class Treal , class Telement >
void mat::Matrix< Treal, Telement >::symToNosym (  )  [inline]

References mat::MatrixHierarchicBase< Treal, Telement >::ncols(), mat::MatrixHierarchicBase< Treal, Telement >::nrows(), and mat::transpose().

Referenced by mat::Matrix< Treal, Telement >::sy_gershgorin().

template<class Treal , class Telement >
void mat::Matrix< Treal, Telement >::syRandom (  )  [inline]

References mat::Matrix< Treal, Telement >::allocate(), mat::MatrixHierarchicBase< Treal, Telement >::ncols(), mat::MatrixHierarchicBase< Treal, Telement >::nrows(), and mat::Matrix< Treal, Telement >::random().

Referenced by mat::Matrix< Treal >::syRandomZeroStructure().

template<class Treal , class Telement >
void mat::Matrix< Treal, Telement >::syRandomZeroStructure ( Treal  probabilityBeingZero  )  [inline]

References mat::Matrix< Treal, Telement >::allocate(), mat::Matrix< Treal, Telement >::clear(), mat::MatrixHierarchicBase< Treal, Telement >::ncols(), mat::MatrixHierarchicBase< Treal, Telement >::nrows(), and mat::Matrix< Treal, Telement >::randomZeroStructure().

template<class Treal , class Telement >
void mat::Matrix< Treal, Telement >::syrk ( const char  uplo,
const bool  tA,
const Treal  alpha,
const Matrix< Treal, Telement > &  A,
const Treal  beta,
Matrix< Treal, Telement > &  C 
) [inline, static]

References mat::Matrix< Treal, Telement >::allocate(), mat::MatrixHierarchicBase< Treal, Telement >::assert(), mat::MatrixHierarchicBase< Treal, Telement >::cols, mat::gemm(), mat::Matrix< Treal, Telement >::gemm(), MAT_OMP_END, MAT_OMP_FINALIZE, MAT_OMP_INIT, MAT_OMP_START, mat::MatrixHierarchicBase< Treal, Telement >::ncols(), mat::MatrixHierarchicBase< Treal, Telement >::nrows(), mat::MatrixHierarchicBase< Treal, Telement >::rows, and mat::syrk().

Referenced by mat::Matrix< Treal >::syrk(), and mat::Matrix< Treal >::sysq().

template<class Treal , class Telement >
template<typename TRule >
void mat::Matrix< Treal, Telement >::sySetElementsByRule ( TRule &  rule  )  [inline]

References mat::Matrix< Treal, Telement >::allocate(), mat::MatrixHierarchicBase< Treal, Telement >::ncols(), mat::MatrixHierarchicBase< Treal, Telement >::nrows(), and mat::Matrix< Treal, Telement >::setElementsByRule().

Referenced by mat::Matrix< Treal, Telement >::trSetElementsByRule().

template<class Treal , class Telement >
void mat::Matrix< Treal, Telement >::sysq ( const char  uplo,
const Treal  alpha,
const Matrix< Treal, Telement > &  A,
const Treal  beta,
Matrix< Treal, Telement > &  C 
) [inline, static]

References mat::Matrix< Treal, Telement >::allocate(), mat::MatrixHierarchicBase< Treal, Telement >::assert(), mat::MatrixHierarchicBase< Treal, Telement >::cols, mat::gemm(), MAT_OMP_END, MAT_OMP_FINALIZE, MAT_OMP_INIT, MAT_OMP_START, mat::MatrixHierarchicBase< Treal, Telement >::ncols(), mat::MatrixHierarchicBase< Treal, Telement >::nrows(), mat::MatrixHierarchicBase< Treal, Telement >::rows, mat::Matrix< Treal, Telement >::symm(), and mat::syrk().

template<class Treal , class Telement >
void mat::Matrix< Treal, Telement >::sytr_upper_tr_only ( char const   side,
const Treal  alpha,
Matrix< Treal, Telement > &  A,
const Matrix< Treal, Telement > &  Z 
) [inline, static]

References mat::MatrixHierarchicBase< Treal, Telement >::assert(), mat::gemm(), mat::Matrix< Treal, Telement >::gemm(), mat::Matrix< Treal, Telement >::gemm_upper_tr_only(), mat::MatrixHierarchicBase< Treal, Telement >::ncols(), mat::MatrixHierarchicBase< Treal, Telement >::nrows(), mat::Matrix< Treal, Telement >::symm(), and mat::Matrix< Treal, Telement >::trmm().

Referenced by mat::Matrix< Treal >::trsytriplemm(), and mat::Matrix< Treal, Telement >::trsytriplemm().

template<class Treal , class Telement >
void mat::Matrix< Treal, Telement >::syUpTriFullMatrix ( std::vector< Treal > &  fullMat  )  const [inline]

References mat::MatrixHierarchicBase< Treal, Telement >::cols, mat::SizesAndBlocks::getNTotalScalars(), mat::SizesAndBlocks::getOffset(), mat::MatrixHierarchicBase< Treal, Telement >::ncols(), mat::MatrixHierarchicBase< Treal, Telement >::nrows(), mat::MatrixHierarchicBase< Treal, Telement >::nScalarsCols(), mat::MatrixHierarchicBase< Treal, Telement >::nScalarsRows(), and mat::MatrixHierarchicBase< Treal, Telement >::rows.

Referenced by mat::Matrix< Treal, Telement >::syFullMatrix().

template<class Treal , class Telement >
Treal mat::Matrix< Treal, Telement >::trace (  )  const [inline]

References mat::MatrixHierarchicBase< Treal, Telement >::assert(), mat::MatrixHierarchicBase< Treal, Telement >::ncols(), and mat::MatrixHierarchicBase< Treal, Telement >::nrows().

template<class Treal , class Telement >
Treal mat::Matrix< Treal, Telement >::trace_ab ( const Matrix< Treal, Telement > &  A,
const Matrix< Treal, Telement > &  B 
) [inline, static]

References mat::MatrixHierarchicBase< Treal, Telement >::assert(), mat::MatrixHierarchicBase< Treal, Telement >::ncols(), and mat::MatrixHierarchicBase< Treal, Telement >::nrows().

template<class Treal , class Telement >
Treal mat::Matrix< Treal, Telement >::trace_aTb ( const Matrix< Treal, Telement > &  A,
const Matrix< Treal, Telement > &  B 
) [inline, static]

References mat::MatrixHierarchicBase< Treal, Telement >::assert(), mat::MatrixHierarchicBase< Treal, Telement >::ncols(), and mat::MatrixHierarchicBase< Treal, Telement >::nrows().

template<class Treal , class Telement >
void mat::Matrix< Treal, Telement >::transpose ( Matrix< Treal, Telement > const &  A,
Matrix< Treal, Telement > &  AT 
) [inline, static]

References mat::MatrixHierarchicBase< Treal, Telement >::cols, mat::MatrixHierarchicBase< Treal, Telement >::elements, mat::freeElements(), mat::MatrixHierarchicBase< Treal, Telement >::ncols(), mat::MatrixHierarchicBase< Treal, Telement >::nrows(), mat::MatrixHierarchicBase< Treal, Telement >::rows, and mat::transpose().

Referenced by mat::Matrix< Treal, Telement >::ssmm().

template<class Treal , class Telement >
void mat::Matrix< Treal, Telement >::trmm ( const char  side,
const char  uplo,
const bool  tA,
const Treal  alpha,
const Matrix< Treal, Telement > &  A,
Matrix< Treal, Telement > &  B 
) [inline, static]

References mat::MatrixHierarchicBase< Treal, Telement >::assert(), mat::gemm(), mat::MatrixHierarchicBase< Treal, Telement >::ncols(), and mat::MatrixHierarchicBase< Treal, Telement >::nrows().

Referenced by mat::Matrix< Treal, Telement >::syInch(), mat::Matrix< Treal >::sytr_upper_tr_only(), mat::Matrix< Treal, Telement >::sytr_upper_tr_only(), mat::Matrix< Treal >::trmm(), mat::Matrix< Treal >::trmm_upper_tr_only(), and mat::Matrix< Treal, Telement >::trmm_upper_tr_only().

template<class Treal , class Telement >
void mat::Matrix< Treal, Telement >::trmm_upper_tr_only ( const char  side,
const char  uplo,
const bool  tA,
const Treal  alpha,
const Matrix< Treal, Telement > &  A,
Matrix< Treal, Telement > &  B 
) [inline, static]

References mat::MatrixHierarchicBase< Treal, Telement >::assert(), mat::gemm(), mat::MatrixHierarchicBase< Treal, Telement >::ncols(), mat::MatrixHierarchicBase< Treal, Telement >::nrows(), and mat::Matrix< Treal, Telement >::trmm().

Referenced by mat::Matrix< Treal >::trsytriplemm(), and mat::Matrix< Treal, Telement >::trsytriplemm().

template<class Treal, class Telement = Treal>
template<typename TRule >
void mat::Matrix< Treal, Telement >::trSetElementsByRule ( TRule &  rule  )  [inline]

References mat::Matrix< Treal, Telement >::sySetElementsByRule().

template<class Treal , class Telement >
void mat::Matrix< Treal, Telement >::trsytriplemm ( char const   side,
const Matrix< Treal, Telement > &  Z,
Matrix< Treal, Telement > &  A 
) [inline, static]

References mat::MatrixHierarchicBase< Treal, Telement >::assert(), mat::Matrix< Treal, Telement >::sytr_upper_tr_only(), and mat::Matrix< Treal, Telement >::trmm_upper_tr_only().

template<class Treal , class Telement >
void mat::Matrix< Treal, Telement >::truncateAccordingToSparsityPattern ( Matrix< Treal, Matrix< Treal, Telement > > &  A  )  const [inline]

Truncate matrix A according to the sparsity pattern of the this matrix (frobNormMat).

References mat::MatrixHierarchicBase< Treal, Telement >::assert(), mat::Matrix< Treal, Telement >::clear(), and mat::MatrixHierarchicBase< Treal, Telement >::elements.

template<class Treal , class Telement >
void mat::Matrix< Treal, Telement >::writeToFile ( std::ofstream &  file  )  const [inline]

References mat::MatrixHierarchicBase< Treal, Telement >::elements.

Friends And Related Function Documentation

template<class Treal, class Telement = Treal>
friend class Vector< Treal, Telement > [friend]
The documentation for this class was generated from the following file:
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