INMOST::MatrixMulCoef< VarA, VarB, VarR > Class Template Reference
Inheritance diagram for INMOST::MatrixMulCoef< VarA, VarB, VarR >:
Collaboration diagram for INMOST::MatrixMulCoef< VarA, VarB, VarR >:
Public Types | |
| typedef AbstractMatrixReadOnly< VarR >::enumerator | enumerator |
 Public Types inherited from INMOST::AbstractMatrixReadOnly< VarR > | |
| typedef unsigned | enumerator |
Public Member Functions | |
| bool | TrivialArguments () const |
| Check that this matrix does not require calculations for element access. More... | |
| __INLINE enumerator | Rows () const |
| Number of rows. More... | |
| __INLINE enumerator | Cols () const |
| Number of columns. More... | |
| MatrixMulCoef (const AbstractMatrixReadOnly< VarA > &rA, const VarB &rcoef) | |
| MatrixMulCoef (const MatrixMulCoef &b) | |
| __INLINE VarR | compute (enumerator i, enumerator j) const |
| Access element of the matrix by row and column indices without right to change the element. More... | |
| __INLINE INMOST_DATA_ENUM_TYPE | GetMatrixCount () const |
| Retrieve number of indices of derivatives. | |
| Public Member Functions inherited from INMOST::AbstractMatrixReadOnly< VarR > | |
| virtual VarR | compute (enumerator i, enumerator j) const=0 |
| Compute element of the matrix by row and column indices without right to change the element. More... | |
| bool | CheckNans () const |
| Check all matrix entries for not a number. More... | |
| bool | CheckInfs () const |
| Check all matrix entries for infinity. More... | |
| bool | CheckNansInfs () const |
| Check all matrix entries for not a number and infinity. More... | |
| VarR | Det () const |
| Matrix determinant. | |
| bool | SVD (AbstractMatrix< VarR > &U, AbstractMatrix< VarR > &Sigma, AbstractMatrix< VarR > &V, bool order_singular_values=true, bool nonnegative=true) const |
| Singular value decomposition. More... | |
| bool | cSVD (AbstractMatrix< VarR > &U, AbstractMatrix< VarR > &Sigma, AbstractMatrix< VarR > &V) const |
| Singular value decomposition. More... | |
| ConstMatrixTranspose< VarR > | Transpose () const |
| Transpose current matrix. More... | |
| ConstMatrixConjugateTranspose< VarR > | ConjugateTranspose () const |
| Transpose and conjugate current matrix. More... | |
| ConstMatrixConjugate< VarR > | Conjugate () const |
| Conjugate current matrix. More... | |
| Matrix< typename Promote< VarR, typeB >::type > | CrossProduct (const AbstractMatrixReadOnly< typeB > &other) const |
| Cross-product operation for a vector. More... | |
| Matrix< typename Promote< VarR, typeB >::type > | Transform (const AbstractMatrixReadOnly< typeB > &other) const |
| Transformation matrix from current vector to provided vector using shortest arc rotation. More... | |
| MatrixDifference< VarR, typeB > | operator- (const AbstractMatrixReadOnly< typeB > &other) const |
| Subtract a matrix. More... | |
| MatrixUnaryMinus< VarR > | operator- () const |
| Unary minus. Change sign of each element of the matrix. | |
| MatrixSum< VarR, typeB > | operator+ (const AbstractMatrixReadOnly< typeB > &other) const |
| Add a matrix. More... | |
| MatrixMul< VarR, typeB, typename Promote< VarR, typeB >::type > | operator* (const AbstractMatrixReadOnly< typeB > &other) const |
| Multiply the matrix by another matrix. More... | |
| MatrixMulCoef< VarR, typeB, typename Promote< VarR, typeB >::type > | operator* (const typeB &coef) const |
| Multiply the matrix by a coefficient. More... | |
| MatrixMulShellCoef< VarR, shell_expression< A >, typename Promote< VarR, variable >::type > | operator* (shell_expression< A > const &coef) const |
| Multiply the matrix by a coefficient. More... | |
| KroneckerProduct< VarR, typeB > | Kronecker (const AbstractMatrixReadOnly< typeB > &other) const |
| Kronecker product, latex symbol \otimes. More... | |
| Matrix< VarR > | Invert (int *ierr=NULL) const |
| Inverts matrix using Crout-LU decomposition with full pivoting for maximum element. More... | |
| Matrix< VarR > | CholeskyInvert (int *ierr=NULL) const |
| Inverts symmetric positive-definite matrix using Cholesky decomposition. | |
| Matrix< typename Promote< VarR, typeB >::type > | Solve (const AbstractMatrixReadOnly< typeB > &B, int *ierr=NULL) const |
| Finds X in A*X=B, where A and B are general matrices. More... | |
| Matrix< typename Promote< VarR, typeB >::type > | CholeskySolve (const AbstractMatrixReadOnly< typeB > &B, int *ierr=NULL) const |
| Finds X in A*X=B, where A is a square symmetric positive definite matrix. More... | |
| __INLINE Matrix< Promote< variable, variable >::type > | CholeskySolve (const AbstractMatrixReadOnly< variable > &B, int *ierr) const |
| __INLINE Matrix< Promote< INMOST_DATA_REAL_TYPE, variable >::type > | CholeskySolve (const AbstractMatrixReadOnly< variable > &B, int *ierr) const |
| __INLINE Matrix< Promote< variable, INMOST_DATA_REAL_TYPE >::type > | CholeskySolve (const AbstractMatrixReadOnly< INMOST_DATA_REAL_TYPE > &B, int *ierr) const |
| VarR | Trace () const |
| Calculate sum of the diagonal elements of the matrix. More... | |
| void | Print (INMOST_DATA_REAL_TYPE threshold=1.0e-10, std::ostream &sout=std::cout) const |
| Output matrix to screen. More... | |
| bool | isSymmetric (double eps=1.0e-7) const |
| Check if the matrix is symmetric. More... | |
| Promote< VarR, typeB >::type | DotProduct (const AbstractMatrixReadOnly< typeB > &other) const |
| Computes dot product by summing up multiplication of entries with the same indices in the current and the provided matrix. More... | |
| Promote< VarR, typeB >::type | operator^ (const AbstractMatrixReadOnly< typeB > &other) const |
| Computes dot product by summing up multiplication of entries with the same indices in the current and the provided matrix. More... | |
| SelfPromote< VarR >::type | FrobeniusNorm () const |
| Computes frobenius norm of the matrix. More... | |
| VarR | MaxNorm () const |
| Computes maximum absolute value of the matrix. More... | |
| Matrix< VarR > | PseudoInvert (INMOST_DATA_REAL_TYPE tol=0, int *ierr=NULL) const |
| Calculates Moore-Penrose pseudo-inverse of the matrix. More... | |
| Matrix< VarR > | Power (INMOST_DATA_REAL_TYPE n, int *ierr=NULL) const |
| Calcuate A^n, where n is some real value. More... | |
| Matrix< VarR > | Root (INMOST_DATA_ENUM_TYPE iter=25, INMOST_DATA_REAL_TYPE tol=1.0e-7, int *ierr=NULL) const |
| Calculate square root of A matrix by Babylonian method. More... | |
| Matrix< typename Promote< VarR, typeB >::type > | PseudoSolve (const AbstractMatrixReadOnly< typeB > &B, INMOST_DATA_REAL_TYPE tol=0, int *ierr=NULL) const |
| Solves the system of equations of the form A*X=B, with A and B matrices. More... | |
| Matrix< VarR > | ExtractSubMatrix (enumerator ibeg, enumerator iend, enumerator jbeg, enumerator jend) const |
| Extract submatrix of a matrix. More... | |
| ConstMatrixRepack< VarR > | Repack (enumerator rows, enumerator cols) const |
| Change representation of the matrix into matrix of another size. More... | |
| ConstSubMatrix< VarR > | operator() (enumerator first_row, enumerator last_row, enumerator first_col, enumerator last_col) const |
| Extract submatrix of a matrix for in-place manipulation of elements. More... | |
| ConstBlockOfMatrix< VarR > | BlockOf (enumerator nrows, enumerator ncols, enumerator offset_row, enumerator offset_col) const |
| Define matrix as a part of a matrix of larger size with in-place manipulation of elements. More... | |
| MatrixDivCoef< VarR, typeB, typename Promote< VarR, typeB >::type > | operator/ (const typeB &coef) const |
| Divide the matrix by a coefficient of a different type. More... | |
| MatrixDivShellCoef< VarR, shell_expression< A >, typename Promote< VarR, variable >::type > | operator/ (shell_expression< A > const &coef) const |
| Divide the matrix by a coefficient of a different type. More... | |
| Matrix< typename Promote< VarR, typeB >::type > | operator/ (const AbstractMatrixReadOnly< typeB > &other) const |
| Performs B^{-1}*A, multiplication by inverse matrix from left. More... | |
| ConstMatrixConcatCols< VarR > | ConcatCols (const AbstractMatrixReadOnly< VarR > &B) const |
| Concatenate B matrix as columns of current matrix. More... | |
| ConstMatrixConcatCols2< VarR, VarB, typename Promote< VarR, VarB >::type > | ConcatCols (const AbstractMatrixReadOnly< VarB > &B) const |
| Concatenate B matrix as columns of current matrix. More... | |
| ConstMatrixConcatRows< VarR > | ConcatRows (const AbstractMatrixReadOnly< VarR > &B) const |
| Concatenate B matrix as rows of current matrix. More... | |
| ConstMatrixConcatRows2< VarR, VarB, typename Promote< VarR, VarB >::type > | ConcatRows (const AbstractMatrixReadOnly< VarB > &B) const |
| Concatenate B matrix as rows of current matrix. More... | |
| virtual | ~AbstractMatrixReadOnly () |
| Destructor. | |
Additional Inherited Members | |
| Static Protected Attributes inherited from INMOST::AbstractMatrixBase | |
| static thread_private< Sparse::RowMerger > | merger |
Detailed Description
template<typename VarA, typename VarB, typename VarR>
class INMOST::MatrixMulCoef< VarA, VarB, VarR >
Definition at line 3490 of file inmost_dense.h.
Member Function Documentation
◆ Cols()
template<typename VarA , typename VarB , typename VarR >
|
inlinevirtual |
Number of columns.
- Returns
- Number of columns.
Implements INMOST::AbstractMatrixReadOnly< VarR >.
Definition at line 3508 of file inmost_dense.h.
◆ compute()
template<typename VarA , typename VarB , typename VarR >
|
inline |
Access element of the matrix by row and column indices without right to change the element.
- Parameters
-
i Row index. j Column index.
- Returns
- Reference to constant element.
Definition at line 3517 of file inmost_dense.h.
◆ Rows()
template<typename VarA , typename VarB , typename VarR >
|
inlinevirtual |
Number of rows.
- Returns
- Number of rows.
Implements INMOST::AbstractMatrixReadOnly< VarR >.
Definition at line 3505 of file inmost_dense.h.
◆ TrivialArguments()
template<typename VarA , typename VarB , typename VarR >
|
inline |
Check that this matrix does not require calculations for element access.
The function is used during multiplication.
Definition at line 3502 of file inmost_dense.h.
The documentation for this class was generated from the following files:
