Dune Core Modules (2.4.1)

Implements a matrix constructed from a given type representing a field and compile-time given number of rows and columns. More...

#include <cmath>
#include <cstddef>
#include <iostream>
#include <algorithm>
#include <initializer_list>
#include <dune/common/exceptions.hh>
#include <dune/common/fvector.hh>
#include <dune/common/densematrix.hh>
#include <dune/common/precision.hh>
#include <dune/common/std/constexpr.hh>
#include "fmatrixev.hh"

Go to the source code of this file.

Classes

class  Dune::FieldMatrix< K, ROWS, COLS >
 A dense n x m matrix. More...
 

Namespaces

namespace  Dune
 Dune namespace.
 

Functions

template<typename K >
static K Dune::FMatrixHelp::invertMatrix (const FieldMatrix< K, 1, 1 > &matrix, FieldMatrix< K, 1, 1 > &inverse)
 invert scalar without changing the original matrix
 
template<typename K >
static K Dune::FMatrixHelp::invertMatrix_retTransposed (const FieldMatrix< K, 1, 1 > &matrix, FieldMatrix< K, 1, 1 > &inverse)
 invert scalar without changing the original matrix
 
template<typename K >
static K Dune::FMatrixHelp::invertMatrix (const FieldMatrix< K, 2, 2 > &matrix, FieldMatrix< K, 2, 2 > &inverse)
 invert 2x2 Matrix without changing the original matrix
 
template<typename K >
static K Dune::FMatrixHelp::invertMatrix_retTransposed (const FieldMatrix< K, 2, 2 > &matrix, FieldMatrix< K, 2, 2 > &inverse)
 
template<typename K >
static K Dune::FMatrixHelp::invertMatrix (const FieldMatrix< K, 3, 3 > &matrix, FieldMatrix< K, 3, 3 > &inverse)
 invert 3x3 Matrix without changing the original matrix
 
template<typename K >
static K Dune::FMatrixHelp::invertMatrix_retTransposed (const FieldMatrix< K, 3, 3 > &matrix, FieldMatrix< K, 3, 3 > &inverse)
 invert 3x3 Matrix without changing the original matrix
 
template<class K , int m, int n, int p>
static void Dune::FMatrixHelp::multMatrix (const FieldMatrix< K, m, n > &A, const FieldMatrix< K, n, p > &B, FieldMatrix< K, m, p > &ret)
 calculates ret = A * B
 
template<typename K , int rows, int cols>
static void Dune::FMatrixHelp::multTransposedMatrix (const FieldMatrix< K, rows, cols > &matrix, FieldMatrix< K, cols, cols > &ret)
 calculates ret= A_t*A
 
template<typename K , int rows, int cols>
static void Dune::FMatrixHelp::multAssignTransposed (const FieldMatrix< K, rows, cols > &matrix, const FieldVector< K, rows > &x, FieldVector< K, cols > &ret)
 calculates ret = matrix^T * x
 
template<typename K , int rows, int cols>
static FieldVector< K, rows > Dune::FMatrixHelp::mult (const FieldMatrix< K, rows, cols > &matrix, const FieldVector< K, cols > &x)
 calculates ret = matrix * x
 
template<typename K , int rows, int cols>
static FieldVector< K, cols > Dune::FMatrixHelp::multTransposed (const FieldMatrix< K, rows, cols > &matrix, const FieldVector< K, rows > &x)
 calculates ret = matrix^T * x
 

Detailed Description

Implements a matrix constructed from a given type representing a field and compile-time given number of rows and columns.

Function Documentation

◆ invertMatrix_retTransposed()

template<typename K >
static K Dune::FMatrixHelp::invertMatrix_retTransposed ( const FieldMatrix< K, 2, 2 > &  matrix,
FieldMatrix< K, 2, 2 > &  inverse 
)
inlinestatic

invert 2x2 Matrix without changing the original matrix return transposed matrix

References Dune::FMatrixHelp::invertMatrix_retTransposed().

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