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template<typename K > |
static K | invertMatrix (const FieldMatrix< K, 1, 1 > &matrix, FieldMatrix< K, 1, 1 > &inverse) |
| invert scalar without changing the original matrix
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template<typename K > |
static K | invertMatrix_retTransposed (const FieldMatrix< K, 1, 1 > &matrix, FieldMatrix< K, 1, 1 > &inverse) |
| invert scalar without changing the original matrix
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template<typename K > |
static K | invertMatrix (const FieldMatrix< K, 2, 2 > &matrix, FieldMatrix< K, 2, 2 > &inverse) |
| invert 2x2 Matrix without changing the original matrix
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template<typename K > |
static K | invertMatrix_retTransposed (const FieldMatrix< K, 2, 2 > &matrix, FieldMatrix< K, 2, 2 > &inverse) |
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template<typename K > |
static K | invertMatrix (const FieldMatrix< K, 3, 3 > &matrix, FieldMatrix< K, 3, 3 > &inverse) |
| invert 3x3 Matrix without changing the original matrix
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template<typename K > |
static K | invertMatrix_retTransposed (const FieldMatrix< K, 3, 3 > &matrix, FieldMatrix< K, 3, 3 > &inverse) |
| invert 3x3 Matrix without changing the original matrix
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template<class K , int m, int n, int p> |
static void | multMatrix (const FieldMatrix< K, m, n > &A, const FieldMatrix< K, n, p > &B, FieldMatrix< K, m, p > &ret) |
| calculates ret = A * B
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template<typename K , int rows, int cols> |
static void | multTransposedMatrix (const FieldMatrix< K, rows, cols > &matrix, FieldMatrix< K, cols, cols > &ret) |
| calculates ret= A_t*A
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template<typename K , int rows, int cols> |
static void | multAssignTransposed (const FieldMatrix< K, rows, cols > &matrix, const FieldVector< K, rows > &x, FieldVector< K, cols > &ret) |
| calculates ret = matrix^T * x
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template<typename K , int rows, int cols> |
static FieldVector< K, rows > | mult (const FieldMatrix< K, rows, cols > &matrix, const FieldVector< K, cols > &x) |
| calculates ret = matrix * x
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template<typename K , int rows, int cols> |
static FieldVector< K, cols > | multTransposed (const FieldMatrix< K, rows, cols > &matrix, const FieldVector< K, rows > &x) |
| calculates ret = matrix^T * x
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template<int dim, typename K > |
static void | eigenValues (const FieldMatrix< K, dim, dim > &matrix, FieldVector< K, dim > &eigenValues) |
| calculates the eigenvalues of a symmetric field matrix
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template<int dim, typename K > |
static void | eigenValuesVectors (const FieldMatrix< K, dim, dim > &matrix, FieldVector< K, dim > &eigenValues, FieldMatrix< K, dim, dim > &eigenVectors) |
| calculates the eigenvalues and eigenvectors of a symmetric field matrix
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template<int dim, typename K > |
static void | eigenValuesLapack (const FieldMatrix< K, dim, dim > &matrix, FieldVector< K, dim > &eigenValues) |
| calculates the eigenvalues of a symmetric field matrix
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template<int dim, typename K > |
static void | eigenValuesVectorsLapack (const FieldMatrix< K, dim, dim > &matrix, FieldVector< K, dim > &eigenValues, FieldMatrix< K, dim, dim > &eigenVectors) |
| calculates the eigenvalues and -vectors of a symmetric field matrix
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template<int dim, typename K , class C > |
static void | eigenValuesNonSym (const FieldMatrix< K, dim, dim > &matrix, FieldVector< C, dim > &eigenValues) |
| calculates the eigenvalues of a non-symmetric field matrix
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