MFEM
v4.0
Finite element discretization library
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Data type dense matrix using column-major storage. More...
#include <densemat.hpp>
Public Member Functions | |
DenseMatrix () | |
DenseMatrix (const DenseMatrix &) | |
Copy constructor. More... | |
DenseMatrix (int s) | |
Creates square matrix of size s. More... | |
DenseMatrix (int m, int n) | |
Creates rectangular matrix of size m x n. More... | |
DenseMatrix (const DenseMatrix &mat, char ch) | |
Creates rectangular matrix equal to the transpose of mat. More... | |
DenseMatrix (double *d, int h, int w) | |
Construct a DenseMatrix using an existing data array. More... | |
void | UseExternalData (double *d, int h, int w) |
Change the data array and the size of the DenseMatrix. More... | |
void | Reset (double *d, int h, int w) |
Change the data array and the size of the DenseMatrix. More... | |
void | ClearExternalData () |
void | Clear () |
Delete the matrix data array (if owned) and reset the matrix state. More... | |
int | Size () const |
For backward compatibility define Size to be synonym of Width() More... | |
void | SetSize (int s) |
Change the size of the DenseMatrix to s x s. More... | |
void | SetSize (int h, int w) |
Change the size of the DenseMatrix to h x w. More... | |
double * | Data () const |
Returns the matrix data array. More... | |
double * | GetData () const |
Returns the matrix data array. More... | |
bool | OwnsData () const |
double & | operator() (int i, int j) |
Returns reference to a_{ij}. More... | |
const double & | operator() (int i, int j) const |
Returns constant reference to a_{ij}. More... | |
double | operator* (const DenseMatrix &m) const |
Matrix inner product: tr(A^t B) More... | |
double | Trace () const |
Trace of a square matrix. More... | |
virtual double & | Elem (int i, int j) |
Returns reference to a_{ij}. More... | |
virtual const double & | Elem (int i, int j) const |
Returns constant reference to a_{ij}. More... | |
void | Mult (const double *x, double *y) const |
Matrix vector multiplication. More... | |
virtual void | Mult (const Vector &x, Vector &y) const |
Matrix vector multiplication. More... | |
void | MultTranspose (const double *x, double *y) const |
Multiply a vector with the transpose matrix. More... | |
virtual void | MultTranspose (const Vector &x, Vector &y) const |
Multiply a vector with the transpose matrix. More... | |
void | AddMult (const Vector &x, Vector &y) const |
y += A.x More... | |
void | AddMultTranspose (const Vector &x, Vector &y) const |
y += A^t x More... | |
void | AddMult_a (double a, const Vector &x, Vector &y) const |
y += a * A.x More... | |
void | AddMultTranspose_a (double a, const Vector &x, Vector &y) const |
y += a * A^t x More... | |
double | InnerProduct (const double *x, const double *y) const |
Compute y^t A x. More... | |
void | LeftScaling (const Vector &s) |
LeftScaling this = diag(s) * this. More... | |
void | InvLeftScaling (const Vector &s) |
InvLeftScaling this = diag(1./s) * this. More... | |
void | RightScaling (const Vector &s) |
RightScaling: this = this * diag(s);. More... | |
void | InvRightScaling (const Vector &s) |
InvRightScaling: this = this * diag(1./s);. More... | |
void | SymmetricScaling (const Vector &s) |
SymmetricScaling this = diag(sqrt(s)) * this * diag(sqrt(s)) More... | |
void | InvSymmetricScaling (const Vector &s) |
InvSymmetricScaling this = diag(sqrt(1./s)) * this * diag(sqrt(1./s)) More... | |
double | InnerProduct (const Vector &x, const Vector &y) const |
Compute y^t A x. More... | |
virtual MatrixInverse * | Inverse () const |
Returns a pointer to the inverse matrix. More... | |
void | Invert () |
Replaces the current matrix with its inverse. More... | |
void | SquareRootInverse () |
Replaces the current matrix with its square root inverse. More... | |
double | Det () const |
double | Weight () const |
void | Set (double alpha, const double *A) |
Set the matrix to alpha * A, assuming that A has the same dimensions as the matrix and uses column-major layout. More... | |
void | Set (double alpha, const DenseMatrix &A) |
Set the matrix to alpha * A. More... | |
void | Add (const double c, const DenseMatrix &A) |
Adds the matrix A multiplied by the number c to the matrix. More... | |
DenseMatrix & | operator= (double c) |
Sets the matrix elements equal to constant c. More... | |
DenseMatrix & | operator= (const double *d) |
Copy the matrix entries from the given array. More... | |
DenseMatrix & | operator= (const DenseMatrix &m) |
Sets the matrix size and elements equal to those of m. More... | |
DenseMatrix & | operator+= (const double *m) |
DenseMatrix & | operator+= (const DenseMatrix &m) |
DenseMatrix & | operator-= (const DenseMatrix &m) |
DenseMatrix & | operator*= (double c) |
void | Neg () |
(*this) = -(*this) More... | |
void | Norm2 (double *v) const |
Take the 2-norm of the columns of A and store in v. More... | |
double | MaxMaxNorm () const |
Compute the norm ||A|| = max_{ij} |A_{ij}|. More... | |
double | FNorm () const |
Compute the Frobenius norm of the matrix. More... | |
double | FNorm2 () const |
Compute the square of the Frobenius norm of the matrix. More... | |
void | Eigenvalues (Vector &ev) |
Compute eigenvalues of A x = ev x where A = *this. More... | |
void | Eigenvalues (Vector &ev, DenseMatrix &evect) |
Compute eigenvalues and eigenvectors of A x = ev x where A = *this. More... | |
void | Eigensystem (Vector &ev, DenseMatrix &evect) |
Compute eigenvalues and eigenvectors of A x = ev x where A = *this. More... | |
void | Eigenvalues (DenseMatrix &b, Vector &ev) |
void | Eigenvalues (DenseMatrix &b, Vector &ev, DenseMatrix &evect) |
Compute generalized eigenvalues of A x = ev B x, where A = *this. More... | |
void | Eigensystem (DenseMatrix &b, Vector &ev, DenseMatrix &evect) |
void | SingularValues (Vector &sv) const |
int | Rank (double tol) const |
double | CalcSingularvalue (const int i) const |
Return the i-th singular value (decreasing order) of NxN matrix, N=1,2,3. More... | |
void | CalcEigenvalues (double *lambda, double *vec) const |
void | GetRow (int r, Vector &row) const |
void | GetColumn (int c, Vector &col) const |
double * | GetColumn (int col) |
const double * | GetColumn (int col) const |
void | GetColumnReference (int c, Vector &col) |
void | SetRow (int r, const Vector &row) |
void | SetCol (int c, const Vector &col) |
void | SetRow (int row, double value) |
Set all entries of a row to the specified value. More... | |
void | SetCol (int col, double value) |
Set all entries of a column to the specified value. More... | |
void | GetDiag (Vector &d) const |
Returns the diagonal of the matrix. More... | |
void | Getl1Diag (Vector &l) const |
Returns the l1 norm of the rows of the matrix v_i = sum_j |a_ij|. More... | |
void | GetRowSums (Vector &l) const |
Compute the row sums of the DenseMatrix. More... | |
void | Diag (double c, int n) |
Creates n x n diagonal matrix with diagonal elements c. More... | |
void | Diag (double *diag, int n) |
Creates n x n diagonal matrix with diagonal given by diag. More... | |
void | Transpose () |
(*this) = (*this)^t More... | |
void | Transpose (const DenseMatrix &A) |
(*this) = A^t More... | |
void | Symmetrize () |
(*this) = 1/2 ((*this) + (*this)^t) More... | |
void | Lump () |
void | GradToCurl (DenseMatrix &curl) |
void | GradToDiv (Vector &div) |
void | CopyRows (const DenseMatrix &A, int row1, int row2) |
Copy rows row1 through row2 from A to *this. More... | |
void | CopyCols (const DenseMatrix &A, int col1, int col2) |
Copy columns col1 through col2 from A to *this. More... | |
void | CopyMN (const DenseMatrix &A, int m, int n, int Aro, int Aco) |
Copy the m x n submatrix of A at row/col offsets Aro/Aco to *this. More... | |
void | CopyMN (const DenseMatrix &A, int row_offset, int col_offset) |
Copy matrix A to the location in *this at row_offset, col_offset. More... | |
void | CopyMNt (const DenseMatrix &A, int row_offset, int col_offset) |
Copy matrix A^t to the location in *this at row_offset, col_offset. More... | |
void | CopyMN (const DenseMatrix &A, int m, int n, int Aro, int Aco, int row_offset, int col_offset) |
void | CopyMNDiag (double c, int n, int row_offset, int col_offset) |
Copy c on the diagonal of size n to *this at row_offset, col_offset. More... | |
void | CopyMNDiag (double *diag, int n, int row_offset, int col_offset) |
Copy diag on the diagonal of size n to *this at row_offset, col_offset. More... | |
void | CopyExceptMN (const DenseMatrix &A, int m, int n) |
Copy All rows and columns except m and n from A. More... | |
void | AddMatrix (DenseMatrix &A, int ro, int co) |
Perform (ro+i,co+j)+=A(i,j) for 0<=i<A.Height, 0<=j<A.Width. More... | |
void | AddMatrix (double a, const DenseMatrix &A, int ro, int co) |
Perform (ro+i,co+j)+=a*A(i,j) for 0<=i<A.Height, 0<=j<A.Width. More... | |
void | AddToVector (int offset, Vector &v) const |
Add the matrix 'data' to the Vector 'v' at the given 'offset'. More... | |
void | GetFromVector (int offset, const Vector &v) |
Get the matrix 'data' from the Vector 'v' at the given 'offset'. More... | |
void | AdjustDofDirection (Array< int > &dofs) |
void | Threshold (double eps) |
Replace small entries, abs(a_ij) <= eps, with zero. More... | |
int | CheckFinite () const |
virtual void | Print (std::ostream &out=mfem::out, int width_=4) const |
Prints matrix to stream out. More... | |
virtual void | PrintMatlab (std::ostream &out=mfem::out) const |
virtual void | PrintT (std::ostream &out=mfem::out, int width_=4) const |
Prints the transpose matrix to stream out. More... | |
void | TestInversion () |
Invert and print the numerical conditioning of the inversion. More... | |
long | MemoryUsage () const |
virtual | ~DenseMatrix () |
Destroys dense matrix. More... | |
Public Member Functions inherited from mfem::Matrix | |
Matrix (int s) | |
Creates a square matrix of size s. More... | |
Matrix (int h, int w) | |
Creates a matrix of the given height and width. More... | |
virtual void | Finalize (int) |
Finalizes the matrix initialization. More... | |
virtual | ~Matrix () |
Destroys matrix. More... | |
Public Member Functions inherited from mfem::Operator | |
Operator (int s=0) | |
Construct a square Operator with given size s (default 0). More... | |
Operator (int h, int w) | |
Construct an Operator with the given height (output size) and width (input size). More... | |
int | Height () const |
Get the height (size of output) of the Operator. Synonym with NumRows(). More... | |
int | NumRows () const |
Get the number of rows (size of output) of the Operator. Synonym with Height(). More... | |
int | Width () const |
Get the width (size of input) of the Operator. Synonym with NumCols(). More... | |
int | NumCols () const |
Get the number of columns (size of input) of the Operator. Synonym with Width(). More... | |
virtual MemoryClass | GetMemoryClass () const |
Return the MemoryClass preferred by the Operator. More... | |
virtual Operator & | GetGradient (const Vector &x) const |
Evaluate the gradient operator at the point x. The default behavior in class Operator is to generate an error. More... | |
virtual const Operator * | GetProlongation () const |
Prolongation operator from linear algebra (linear system) vectors, to input vectors for the operator. NULL means identity. More... | |
virtual const Operator * | GetRestriction () const |
Restriction operator from input vectors for the operator to linear algebra (linear system) vectors. NULL means identity. More... | |
void | FormLinearSystem (const Array< int > &ess_tdof_list, Vector &x, Vector &b, Operator *&A, Vector &X, Vector &B, int copy_interior=0) |
Form a constrained linear system using a matrix-free approach. More... | |
virtual void | RecoverFEMSolution (const Vector &X, const Vector &b, Vector &x) |
Reconstruct a solution vector x (e.g. a GridFunction) from the solution X of a constrained linear system obtained from Operator::FormLinearSystem(). More... | |
void | PrintMatlab (std::ostream &out, int n=0, int m=0) const |
Prints operator with input size n and output size m in Matlab format. More... | |
virtual | ~Operator () |
Virtual destructor. More... | |
Type | GetType () const |
Return the type ID of the Operator class. More... | |
Friends | |
class | DenseTensor |
class | DenseMatrixInverse |
Additional Inherited Members | |
Public Types inherited from mfem::Matrix | |
enum | DiagonalPolicy { DIAG_ZERO, DIAG_ONE, DIAG_KEEP } |
Public Types inherited from mfem::Operator | |
enum | Type { ANY_TYPE, MFEM_SPARSEMAT, Hypre_ParCSR, PETSC_MATAIJ, PETSC_MATIS, PETSC_MATSHELL, PETSC_MATNEST, PETSC_MATHYPRE, PETSC_MATGENERIC } |
Enumeration defining IDs for some classes derived from Operator. More... | |
Protected Attributes inherited from mfem::Operator | |
int | height |
Dimension of the output / number of rows in the matrix. More... | |
int | width |
Dimension of the input / number of columns in the matrix. More... | |
Data type dense matrix using column-major storage.
Definition at line 23 of file densemat.hpp.
mfem::DenseMatrix::DenseMatrix | ( | ) |
Default constructor for DenseMatrix. Sets data = NULL and height = width = 0.
Definition at line 67 of file densemat.cpp.
mfem::DenseMatrix::DenseMatrix | ( | const DenseMatrix & | m | ) |
Copy constructor.
Definition at line 73 of file densemat.cpp.
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explicit |
Creates square matrix of size s.
Definition at line 90 of file densemat.cpp.
mfem::DenseMatrix::DenseMatrix | ( | int | m, |
int | n | ||
) |
Creates rectangular matrix of size m x n.
Definition at line 104 of file densemat.cpp.
mfem::DenseMatrix::DenseMatrix | ( | const DenseMatrix & | mat, |
char | ch | ||
) |
Creates rectangular matrix equal to the transpose of mat.
Definition at line 119 of file densemat.cpp.
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inline |
Construct a DenseMatrix using an existing data array.
The DenseMatrix does not assume ownership of the data array, i.e. it will not delete the array.
Definition at line 59 of file densemat.hpp.
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virtual |
Destroys dense matrix.
Definition at line 3020 of file densemat.cpp.
void mfem::DenseMatrix::Add | ( | const double | c, |
const DenseMatrix & | A | ||
) |
Adds the matrix A multiplied by the number c to the matrix.
Definition at line 565 of file densemat.cpp.
void mfem::DenseMatrix::AddMatrix | ( | DenseMatrix & | A, |
int | ro, | ||
int | co | ||
) |
Perform (ro+i,co+j)+=A(i,j) for 0<=i<A.Height, 0<=j<A.Width.
Definition at line 2780 of file densemat.cpp.
void mfem::DenseMatrix::AddMatrix | ( | double | a, |
const DenseMatrix & | A, | ||
int | ro, | ||
int | co | ||
) |
Perform (ro+i,co+j)+=a*A(i,j) for 0<=i<A.Height, 0<=j<A.Width.
Definition at line 2810 of file densemat.cpp.
y += A.x
Definition at line 247 of file densemat.cpp.
y += a * A.x
Definition at line 283 of file densemat.cpp.
y += A^t x
Definition at line 265 of file densemat.cpp.
y += a * A^t x
Definition at line 301 of file densemat.cpp.
void mfem::DenseMatrix::AddToVector | ( | int | offset, |
Vector & | v | ||
) | const |
Add the matrix 'data' to the Vector 'v' at the given 'offset'.
Definition at line 2840 of file densemat.cpp.
void mfem::DenseMatrix::AdjustDofDirection | ( | Array< int > & | dofs | ) |
If (dofs[i] < 0 and dofs[j] >= 0) or (dofs[i] >= 0 and dofs[j] < 0) then (*this)(i,j) = -(*this)(i,j).
Definition at line 2862 of file densemat.cpp.
void mfem::DenseMatrix::CalcEigenvalues | ( | double * | lambda, |
double * | vec | ||
) | const |
Return the eigenvalues (in increasing order) and eigenvectors of a 2x2 or 3x3 symmetric matrix.
Definition at line 2140 of file densemat.cpp.
double mfem::DenseMatrix::CalcSingularvalue | ( | const int | i | ) | const |
Return the i-th singular value (decreasing order) of NxN matrix, N=1,2,3.
Definition at line 1842 of file densemat.cpp.
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inline |
Count the number of entries in the matrix for which isfinite is false, i.e. the entry is a NaN or +/-Inf.
Definition at line 344 of file densemat.hpp.
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inline |
Delete the matrix data array (if owned) and reset the matrix state.
Definition at line 81 of file densemat.hpp.
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inline |
Clear the data array and the dimensions of the DenseMatrix. This method should not be used with DenseMatrix that owns its current data array.
Definition at line 78 of file densemat.hpp.
void mfem::DenseMatrix::CopyCols | ( | const DenseMatrix & | A, |
int | col1, | ||
int | col2 | ||
) |
Copy columns col1 through col2 from A to *this.
Definition at line 2636 of file densemat.cpp.
void mfem::DenseMatrix::CopyExceptMN | ( | const DenseMatrix & | A, |
int | m, | ||
int | n | ||
) |
Copy All rows and columns except m and n from A.
Definition at line 2754 of file densemat.cpp.
void mfem::DenseMatrix::CopyMN | ( | const DenseMatrix & | A, |
int | m, | ||
int | n, | ||
int | Aro, | ||
int | Aco | ||
) |
Copy the m x n submatrix of A at row/col offsets Aro/Aco to *this.
Definition at line 2649 of file densemat.cpp.
void mfem::DenseMatrix::CopyMN | ( | const DenseMatrix & | A, |
int | row_offset, | ||
int | col_offset | ||
) |
Copy matrix A to the location in *this at row_offset, col_offset.
Definition at line 2662 of file densemat.cpp.
void mfem::DenseMatrix::CopyMN | ( | const DenseMatrix & | A, |
int | m, | ||
int | n, | ||
int | Aro, | ||
int | Aco, | ||
int | row_offset, | ||
int | col_offset | ||
) |
Copy the m x n submatrix of A at row/col offsets Aro/Aco to *this at row_offset, col_offset
Definition at line 2688 of file densemat.cpp.
void mfem::DenseMatrix::CopyMNDiag | ( | double | c, |
int | n, | ||
int | row_offset, | ||
int | col_offset | ||
) |
Copy c on the diagonal of size n to *this at row_offset, col_offset.
Definition at line 2719 of file densemat.cpp.
void mfem::DenseMatrix::CopyMNDiag | ( | double * | diag, |
int | n, | ||
int | row_offset, | ||
int | col_offset | ||
) |
Copy diag on the diagonal of size n to *this at row_offset, col_offset.
Definition at line 2736 of file densemat.cpp.
void mfem::DenseMatrix::CopyMNt | ( | const DenseMatrix & | A, |
int | row_offset, | ||
int | col_offset | ||
) |
Copy matrix A^t to the location in *this at row_offset, col_offset.
Definition at line 2675 of file densemat.cpp.
void mfem::DenseMatrix::CopyRows | ( | const DenseMatrix & | A, |
int | row1, | ||
int | row2 | ||
) |
Copy rows row1 through row2 from A to *this.
Definition at line 2623 of file densemat.cpp.
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inline |
Returns the matrix data array.
Definition at line 94 of file densemat.hpp.
double mfem::DenseMatrix::Det | ( | ) | const |
Calculates the determinant of the matrix (optimized for 2x2, 3x3, and 4x4 matrices)
Definition at line 472 of file densemat.cpp.
void mfem::DenseMatrix::Diag | ( | double | c, |
int | n | ||
) |
Creates n x n diagonal matrix with diagonal elements c.
Definition at line 2455 of file densemat.cpp.
void mfem::DenseMatrix::Diag | ( | double * | diag, |
int | n | ||
) |
Creates n x n diagonal matrix with diagonal given by diag.
Definition at line 2470 of file densemat.cpp.
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inline |
Compute eigenvalues and eigenvectors of A x = ev x where A = *this.
Definition at line 230 of file densemat.hpp.
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inline |
Compute generalized eigenvalues and eigenvectors of A x = ev B x, where A = *this
Definition at line 244 of file densemat.hpp.
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inline |
Compute eigenvalues of A x = ev x where A = *this.
Definition at line 222 of file densemat.hpp.
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inline |
Compute eigenvalues and eigenvectors of A x = ev x where A = *this.
Definition at line 226 of file densemat.hpp.
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inline |
Compute generalized eigenvalues and eigenvectors of A x = ev B x, where A = *this
Definition at line 235 of file densemat.hpp.
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inline |
Compute generalized eigenvalues of A x = ev B x, where A = *this.
Definition at line 239 of file densemat.hpp.
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virtual |
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virtual |
Returns constant reference to a_{ij}.
Implements mfem::Matrix.
Definition at line 168 of file densemat.cpp.
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inline |
Compute the Frobenius norm of the matrix.
Definition at line 216 of file densemat.hpp.
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inline |
Compute the square of the Frobenius norm of the matrix.
Definition at line 219 of file densemat.hpp.
void mfem::DenseMatrix::GetColumn | ( | int | c, |
Vector & | col | ||
) | const |
Definition at line 2396 of file densemat.cpp.
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inline |
Definition at line 259 of file densemat.hpp.
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inline |
Definition at line 260 of file densemat.hpp.
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inline |
Definition at line 262 of file densemat.hpp.
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inline |
Returns the matrix data array.
Definition at line 96 of file densemat.hpp.
void mfem::DenseMatrix::GetDiag | ( | Vector & | d | ) | const |
Returns the diagonal of the matrix.
Definition at line 2410 of file densemat.cpp.
void mfem::DenseMatrix::GetFromVector | ( | int | offset, |
const Vector & | v | ||
) |
Get the matrix 'data' from the Vector 'v' at the given 'offset'.
Definition at line 2851 of file densemat.cpp.
void mfem::DenseMatrix::Getl1Diag | ( | Vector & | l | ) | const |
Returns the l1 norm of the rows of the matrix v_i = sum_j |a_ij|.
Definition at line 2424 of file densemat.cpp.
void mfem::DenseMatrix::GetRow | ( | int | r, |
Vector & | row | ||
) | const |
Definition at line 2380 of file densemat.cpp.
void mfem::DenseMatrix::GetRowSums | ( | Vector & | l | ) | const |
Compute the row sums of the DenseMatrix.
Definition at line 2441 of file densemat.cpp.
void mfem::DenseMatrix::GradToCurl | ( | DenseMatrix & | curl | ) |
Given a DShape matrix (from a scalar FE), stored in this, returns the CurlShape matrix. If *this is a N by D matrix, then curl is a D*N by D(D-1)/2 matrix. The size of curl must be set outside. The dimension D can be either 2 or 3.
Definition at line 2549 of file densemat.cpp.
void mfem::DenseMatrix::GradToDiv | ( | Vector & | div | ) |
Given a DShape matrix (from a scalar FE), stored in *this, returns the DivShape vector. If *this is a N by dim matrix, then div is a dim*N vector. The size of div must be set outside.
Definition at line 2608 of file densemat.cpp.
double mfem::DenseMatrix::InnerProduct | ( | const double * | x, |
const double * | y | ||
) | const |
Compute y^t A x.
Definition at line 320 of file densemat.cpp.
Compute y^t A x.
Definition at line 159 of file densemat.hpp.
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virtual |
Returns a pointer to the inverse matrix.
Implements mfem::Matrix.
Definition at line 467 of file densemat.cpp.
void mfem::DenseMatrix::Invert | ( | ) |
Replaces the current matrix with its inverse.
Definition at line 658 of file densemat.cpp.
void mfem::DenseMatrix::InvLeftScaling | ( | const Vector & | s | ) |
InvLeftScaling this = diag(1./s) * this.
Definition at line 351 of file densemat.cpp.
void mfem::DenseMatrix::InvRightScaling | ( | const Vector & | s | ) |
InvRightScaling: this = this * diag(1./s);.
Definition at line 379 of file densemat.cpp.
void mfem::DenseMatrix::InvSymmetricScaling | ( | const Vector & | s | ) |
InvSymmetricScaling this = diag(sqrt(1./s)) * this * diag(sqrt(1./s))
Definition at line 421 of file densemat.cpp.
void mfem::DenseMatrix::LeftScaling | ( | const Vector & | s | ) |
LeftScaling this = diag(s) * this.
Definition at line 338 of file densemat.cpp.
void mfem::DenseMatrix::Lump | ( | ) |
Definition at line 2535 of file densemat.cpp.
double mfem::DenseMatrix::MaxMaxNorm | ( | ) | const |
Compute the norm ||A|| = max_{ij} |A_{ij}|.
Definition at line 826 of file densemat.cpp.
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inline |
Definition at line 355 of file densemat.hpp.
void mfem::DenseMatrix::Mult | ( | const double * | x, |
double * | y | ||
) | const |
Matrix vector multiplication.
Definition at line 173 of file densemat.cpp.
Matrix vector multiplication.
Implements mfem::Operator.
Definition at line 201 of file densemat.cpp.
void mfem::DenseMatrix::MultTranspose | ( | const double * | x, |
double * | y | ||
) | const |
Multiply a vector with the transpose matrix.
Definition at line 224 of file densemat.cpp.
Multiply a vector with the transpose matrix.
Reimplemented from mfem::Operator.
Definition at line 239 of file densemat.cpp.
void mfem::DenseMatrix::Neg | ( | ) |
(*this) = -(*this)
Definition at line 649 of file densemat.cpp.
void mfem::DenseMatrix::Norm2 | ( | double * | v | ) | const |
Take the 2-norm of the columns of A and store in v.
Definition at line 813 of file densemat.cpp.
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Returns reference to a_{ij}.
Definition at line 752 of file densemat.hpp.
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Returns constant reference to a_{ij}.
Definition at line 758 of file densemat.hpp.
double mfem::DenseMatrix::operator* | ( | const DenseMatrix & | m | ) | const |
Matrix inner product: tr(A^t B)
Definition at line 209 of file densemat.cpp.
DenseMatrix & mfem::DenseMatrix::operator*= | ( | double | c | ) |
Definition at line 639 of file densemat.cpp.
DenseMatrix & mfem::DenseMatrix::operator+= | ( | const double * | m | ) |
Definition at line 609 of file densemat.cpp.
DenseMatrix & mfem::DenseMatrix::operator+= | ( | const DenseMatrix & | m | ) |
Definition at line 619 of file densemat.cpp.
DenseMatrix & mfem::DenseMatrix::operator-= | ( | const DenseMatrix & | m | ) |
Definition at line 626 of file densemat.cpp.
DenseMatrix & mfem::DenseMatrix::operator= | ( | double | c | ) |
Sets the matrix elements equal to constant c.
Definition at line 576 of file densemat.cpp.
DenseMatrix & mfem::DenseMatrix::operator= | ( | const double * | d | ) |
Copy the matrix entries from the given array.
Definition at line 586 of file densemat.cpp.
DenseMatrix & mfem::DenseMatrix::operator= | ( | const DenseMatrix & | m | ) |
Sets the matrix size and elements equal to those of m.
Definition at line 596 of file densemat.cpp.
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Definition at line 98 of file densemat.hpp.
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Prints matrix to stream out.
Reimplemented from mfem::Matrix.
Definition at line 2935 of file densemat.cpp.
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Definition at line 2961 of file densemat.cpp.
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Prints the transpose matrix to stream out.
Definition at line 2980 of file densemat.cpp.
int mfem::DenseMatrix::Rank | ( | double | tol | ) | const |
Definition at line 1215 of file densemat.cpp.
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Change the data array and the size of the DenseMatrix.
The DenseMatrix does not assume ownership of the data array, i.e. it will not delete the new array d. This method will delete the current data array, if owned.
Definition at line 73 of file densemat.hpp.
void mfem::DenseMatrix::RightScaling | ( | const Vector & | s | ) |
RightScaling: this = this * diag(s);.
Definition at line 364 of file densemat.cpp.
void mfem::DenseMatrix::Set | ( | double | alpha, |
const double * | A | ||
) |
Set the matrix to alpha * A, assuming that A has the same dimensions as the matrix and uses column-major layout.
Definition at line 556 of file densemat.cpp.
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inline |
Set the matrix to alpha * A.
Definition at line 181 of file densemat.hpp.
void mfem::DenseMatrix::SetCol | ( | int | c, |
const Vector & | col | ||
) |
Definition at line 2913 of file densemat.cpp.
void mfem::DenseMatrix::SetCol | ( | int | col, |
double | value | ||
) |
Set all entries of a column to the specified value.
Definition at line 2897 of file densemat.cpp.
void mfem::DenseMatrix::SetRow | ( | int | r, |
const Vector & | row | ||
) |
Definition at line 2905 of file densemat.cpp.
void mfem::DenseMatrix::SetRow | ( | int | row, |
double | value | ||
) |
Set all entries of a row to the specified value.
Definition at line 2889 of file densemat.cpp.
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inline |
Change the size of the DenseMatrix to s x s.
Definition at line 88 of file densemat.hpp.
void mfem::DenseMatrix::SetSize | ( | int | h, |
int | w | ||
) |
Change the size of the DenseMatrix to h x w.
Definition at line 141 of file densemat.cpp.
void mfem::DenseMatrix::SingularValues | ( | Vector & | sv | ) | const |
Definition at line 1176 of file densemat.cpp.
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inline |
For backward compatibility define Size to be synonym of Width()
Definition at line 85 of file densemat.hpp.
void mfem::DenseMatrix::SquareRootInverse | ( | ) |
Replaces the current matrix with its square root inverse.
Definition at line 768 of file densemat.cpp.
void mfem::DenseMatrix::SymmetricScaling | ( | const Vector & | s | ) |
SymmetricScaling this = diag(sqrt(s)) * this * diag(sqrt(s))
Definition at line 393 of file densemat.cpp.
void mfem::DenseMatrix::Symmetrize | ( | ) |
(*this) = 1/2 ((*this) + (*this)^t)
Definition at line 2518 of file densemat.cpp.
void mfem::DenseMatrix::TestInversion | ( | ) |
Invert and print the numerical conditioning of the inversion.
Definition at line 3006 of file densemat.cpp.
void mfem::DenseMatrix::Threshold | ( | double | eps | ) |
Replace small entries, abs(a_ij) <= eps, with zero.
Definition at line 2921 of file densemat.cpp.
double mfem::DenseMatrix::Trace | ( | ) | const |
Trace of a square matrix.
Definition at line 448 of file densemat.cpp.
void mfem::DenseMatrix::Transpose | ( | ) |
(*this) = (*this)^t
Definition at line 2485 of file densemat.cpp.
void mfem::DenseMatrix::Transpose | ( | const DenseMatrix & | A | ) |
(*this) = A^t
Definition at line 2507 of file densemat.cpp.
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inline |
Change the data array and the size of the DenseMatrix.
The DenseMatrix does not assume ownership of the data array, i.e. it will not delete the data array d. This method should not be used with DenseMatrix that owns its current data array.
Definition at line 66 of file densemat.hpp.
double mfem::DenseMatrix::Weight | ( | ) | const |
Definition at line 529 of file densemat.cpp.
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Definition at line 26 of file densemat.hpp.
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friend |
Definition at line 25 of file densemat.hpp.