#include <complex_matrices.h>
Inheritance diagram for oomph::DiagonalComplexMatrix:
Public Member Functions | |
| DiagonalComplexMatrix (const unsigned long n) | |
| DiagonalComplexMatrix (const unsigned long n, std::complex< double > &z) | |
| virtual std::complex< double > | operator() (const unsigned long &i, const unsigned long &j) const |
| Round brackets to give access as a(i,j) for read only (we're not providing a general interface for component-wise write access since not all matrix formats allow efficient direct access!) More... | |
| virtual std::complex< double > & | operator() (const unsigned long &i, const unsigned long &j) |
| void | multiply (const Vector< std::complex< double > > &x, Vector< std::complex< double > > &result) |
| Multiply the matrix by the vector x: soln=Ax. More... | |
| void | multiply_transpose (const Vector< std::complex< double > > &x, Vector< std::complex< double > > &result) |
| Multiply the transposed matrix by the vector x: soln=A^T x. More... | |
| virtual void | residual (const Vector< std::complex< double > > &x, const Vector< std::complex< double > > &b, Vector< std::complex< double > > &residual) |
| Find the residual, i.e. r=b-Ax the residual. More... | |
| void | resize (const unsigned &N, const unsigned &M) |
| void | resize (const unsigned &N, const unsigned &M, std::complex< double > z) |
| unsigned long | nrow () const |
| Return the number of rows of the matrix. More... | |
| unsigned long | ncol () const |
| Return the number of columns of the matrix. More... | |
| Public Member Functions inherited from oomph::ComplexMatrixBase | |
| ComplexMatrixBase () | |
| (Empty) constructor. More... | |
| ComplexMatrixBase (const ComplexMatrixBase &matrix) | |
| Broken copy constructor. More... | |
| void | operator= (const ComplexMatrixBase &) |
| Broken assignment operator. More... | |
| virtual | ~ComplexMatrixBase () |
| virtual (empty) destructor More... | |
| virtual int | ludecompose () |
| LU decomposition of the matrix using the appropriate linear solver. Return the sign of the determinant. More... | |
| virtual void | lubksub (Vector< std::complex< double > > &rhs) |
| LU backsubstitue a previously LU-decomposed matrix; The passed rhs will be over-written with the solution vector. More... | |
| virtual void | solve (Vector< std::complex< double > > &rhs) |
| Complete LU solve (replaces matrix by its LU decomposition and overwrites RHS with solution). The default should not need to be over-written. More... | |
| virtual void | solve (const Vector< std::complex< double > > &rhs, Vector< std::complex< double > > &soln) |
| Complete LU solve (Nothing gets overwritten!). The default should not need to be overwritten. More... | |
| virtual double | max_residual (const Vector< std::complex< double > > &x, const Vector< std::complex< double > > &rhs) |
| Find the maximum residual r=b-Ax – generic version, can be overloaded for specific derived classes where the max. can be determined "on the fly". More... | |
Private Attributes | |
| Vector< std::complex< double > > | Matrixdata |
Detailed Description
Definition at line 161 of file complex_matrices.h.
Constructor & Destructor Documentation
◆ DiagonalComplexMatrix() [1/2]
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inline |
Definition at line 165 of file complex_matrices.h.
◆ DiagonalComplexMatrix() [2/2]
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inline |
Definition at line 167 of file complex_matrices.h.
References i, oomph::ComplexMatrixBase::multiply(), and oomph::ComplexMatrixBase::operator()().
Member Function Documentation
◆ multiply()
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virtual |
Multiply the matrix by the vector x: soln=Ax.
Implements oomph::ComplexMatrixBase.
Definition at line 144 of file complex_matrices.cc.
References i, oomph::QuadTreeNames::N, and oomph::ComplexMatrixBase::ncol().
◆ multiply_transpose()
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inlinevirtual |
Multiply the transposed matrix by the vector x: soln=A^T x.
Implements oomph::ComplexMatrixBase.
Definition at line 182 of file complex_matrices.h.
References oomph::ComplexMatrixBase::multiply().
◆ ncol()
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inlinevirtual |
Return the number of columns of the matrix.
Implements oomph::ComplexMatrixBase.
Definition at line 200 of file complex_matrices.h.
◆ nrow()
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inlinevirtual |
Return the number of rows of the matrix.
Implements oomph::ComplexMatrixBase.
Definition at line 198 of file complex_matrices.h.
Referenced by oomph::DenseComplexMatrix::DenseComplexMatrix().
◆ operator()() [1/2]
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virtual |
Round brackets to give access as a(i,j) for read only (we're not providing a general interface for component-wise write access since not all matrix formats allow efficient direct access!)
Implements oomph::ComplexMatrixBase.
Definition at line 87 of file complex_matrices.cc.
References i.
◆ operator()() [2/2]
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virtual |
Definition at line 100 of file complex_matrices.cc.
References i.
◆ residual()
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inlinevirtual |
Find the residual, i.e. r=b-Ax the residual.
Implements oomph::ComplexMatrixBase.
Definition at line 189 of file complex_matrices.h.
References oomph::QuadTreeNames::N.
◆ resize() [1/2]
| void oomph::DiagonalComplexMatrix::resize | ( | const unsigned & | N, |
| const unsigned & | M | ||
| ) |
Definition at line 116 of file complex_matrices.cc.
Referenced by oomph::PMLElementBase< 2 >::compute_jacobian_inverse_and_det(), and oomph::PMLElementBase< 2 >::compute_laplace_matrix_and_det().
◆ resize() [2/2]
| void oomph::DiagonalComplexMatrix::resize | ( | const unsigned & | N, |
| const unsigned & | M, | ||
| std::complex< double > | z | ||
| ) |
Definition at line 129 of file complex_matrices.cc.
Member Data Documentation
◆ Matrixdata
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private |
Definition at line 204 of file complex_matrices.h.
The documentation for this class was generated from the following files: