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KratosMultiphysics
KRATOS Multiphysics (Kratos) is a framework for building parallel, multi-disciplinary simulation software, aiming at modularity, extensibility, and high performance. Kratos is written in C++, and counts with an extensive Python interface.
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This is the complete list of members for Kratos::MathUtils< TDataType >, including all inherited members.
| AddMatrix(TMatrixType1 &rDestination, const TMatrixType2 &rInputMatrix, const IndexType InitialRow, const IndexType InitialCol) | Kratos::MathUtils< TDataType > | inlinestatic |
| AddVector(TVectorType1 &rDestination, const TVectorType2 &rInputVector, const IndexType InitialIndex) | Kratos::MathUtils< TDataType > | inlinestatic |
| BDBtProductOperation(TMatrixType1 &rA, const TMatrixType2 &rD, const TMatrixType3 &rB) | Kratos::MathUtils< TDataType > | inlinestatic |
| BtDBProductOperation(TMatrixType1 &rA, const TMatrixType2 &rD, const TMatrixType3 &rB) | Kratos::MathUtils< TDataType > | inlinestatic |
| CalculateExponentialOfMatrix(const TMatrixType &rMatrix, TMatrixType &rExponentialMatrix, const double Tolerance=1000.0 *ZeroTolerance, const SizeType MaxTerms=200) | Kratos::MathUtils< TDataType > | inlinestatic |
| CheckConditionNumber(const TMatrix1 &rInputMatrix, TMatrix2 &rInvertedMatrix, const double Tolerance=std::numeric_limits< double >::epsilon(), const bool ThrowError=true) | Kratos::MathUtils< TDataType > | inlinestatic |
| CheckIsAlias(T1 &value1, T2 &value2) | Kratos::MathUtils< TDataType > | inlinestatic |
| CheckIsAlias(T1 &value1, T2 &value2) | Kratos::MathUtils< TDataType > | inlinestatic |
| Cofactor(const TMatrixType &rMat, IndexType i, IndexType j) | Kratos::MathUtils< TDataType > | inlinestatic |
| CofactorMatrix(const TMatrixType &rMat) | Kratos::MathUtils< TDataType > | inlinestatic |
| CrossProduct(const T &a, const T &b) | Kratos::MathUtils< TDataType > | inlinestatic |
| CrossProduct(T1 &c, const T2 &a, const T3 &b) | Kratos::MathUtils< TDataType > | inlinestatic |
| DegreesToRadians(double AngleInDegrees) | Kratos::MathUtils< TDataType > | inlinestatic |
| Det(const TMatrixType &rA) | Kratos::MathUtils< TDataType > | inlinestatic |
| Det2(const TMatrixType &rA) | Kratos::MathUtils< TDataType > | inlinestatic |
| Det3(const TMatrixType &rA) | Kratos::MathUtils< TDataType > | inlinestatic |
| Det4(const TMatrixType &rA) | Kratos::MathUtils< TDataType > | inlinestatic |
| Dot(const Vector &rFirstVector, const Vector &rSecondVector) | Kratos::MathUtils< TDataType > | inlinestatic |
| Dot3(const Vector &a, const Vector &b) | Kratos::MathUtils< TDataType > | inlinestatic |
| ExpandAndAddReducedMatrix(MatrixType &rDestination, const MatrixType &rReducedMatrix, const SizeType Dimension) | Kratos::MathUtils< TDataType > | inlinestatic |
| ExpandReducedMatrix(MatrixType &rDestination, const MatrixType &rReducedMatrix, const SizeType Dimension) | Kratos::MathUtils< TDataType > | inlinestatic |
| Factorial(const TIntegerType Number) | Kratos::MathUtils< TDataType > | inlinestatic |
| GaussSeidelEigenSystem(const TMatrixType1 &rA, TMatrixType2 &rEigenVectorsMatrix, TMatrixType2 &rEigenValuesMatrix, const double Tolerance=1.0e-18, const SizeType MaxIterations=20) | Kratos::MathUtils< TDataType > | inlinestatic |
| GeneralizedDet(const TMatrixType &rA) | Kratos::MathUtils< TDataType > | inlinestatic |
| GeneralizedInvertMatrix(const TMatrix1 &rInputMatrix, TMatrix2 &rInvertedMatrix, double &rInputMatrixDet, const double Tolerance=ZeroTolerance) | Kratos::MathUtils< TDataType > | inlinestatic |
| GetZeroTolerance() | Kratos::MathUtils< TDataType > | inlinestatic |
| Heron(double a, double b, double c) | Kratos::MathUtils< TDataType > | inlinestatic |
| IndexType typedef | Kratos::MathUtils< TDataType > | |
| IndirectArrayType typedef | Kratos::MathUtils< TDataType > | |
| InvertMatrix(const BoundedMatrix< double, TDim, TDim > &rInputMatrix, double &rInputMatrixDet, const double Tolerance=ZeroTolerance) | Kratos::MathUtils< TDataType > | inlinestatic |
| InvertMatrix(const TMatrix1 &rInputMatrix, TMatrix2 &rInvertedMatrix, double &rInputMatrixDet, const double Tolerance=ZeroTolerance) | Kratos::MathUtils< TDataType > | inlinestatic |
| InvertMatrix2(const TMatrix1 &rInputMatrix, TMatrix2 &rInvertedMatrix, double &rInputMatrixDet) | Kratos::MathUtils< TDataType > | inlinestatic |
| InvertMatrix3(const TMatrix1 &rInputMatrix, TMatrix2 &rInvertedMatrix, double &rInputMatrixDet) | Kratos::MathUtils< TDataType > | inlinestatic |
| InvertMatrix4(const TMatrix1 &rInputMatrix, TMatrix2 &rInvertedMatrix, double &rInputMatrixDet) | Kratos::MathUtils< TDataType > | inlinestatic |
| KRATOS_DEPRECATED_MESSAGE("Please use GaussSeidelEigenSystem() instead. Note the resulting EigenVectors matrix is transposed respect GaussSeidelEigenSystem()") static inline bool EigenSystem(const BoundedMatrix< double | Kratos::MathUtils< TDataType > | |
| MatrixSquareRoot(const TMatrixType1 &rA, TMatrixType2 &rMatrixSquareRoot, const double Tolerance=1.0e-18, const SizeType MaxIterations=20) | Kratos::MathUtils< TDataType > | inline |
| MatrixType typedef | Kratos::MathUtils< TDataType > | |
| MaxIterations | Kratos::MathUtils< TDataType > | |
| Norm(const Vector &a) | Kratos::MathUtils< TDataType > | inlinestatic |
| Norm3(const TVectorType &a) | Kratos::MathUtils< TDataType > | inlinestatic |
| OrthonormalBasis(const T1 &c, T2 &a, T3 &b, const IndexType Type=0) | Kratos::MathUtils< TDataType > | inlinestatic |
| OrthonormalBasisFrisvad(const T1 &c, T2 &a, T3 &b) | Kratos::MathUtils< TDataType > | inlinestatic |
| OrthonormalBasisHughesMoeller(const T1 &c, T2 &a, T3 &b) | Kratos::MathUtils< TDataType > | inlinestatic |
| OrthonormalBasisNaive(const T1 &c, T2 &a, T3 &b) | Kratos::MathUtils< TDataType > | inlinestatic |
| rA | Kratos::MathUtils< TDataType > | |
| rEigenValuesMatrix | Kratos::MathUtils< TDataType > | |
| rEigenVectorsMatrix | Kratos::MathUtils< TDataType > | |
| Sign(const double &ThisDataType) | Kratos::MathUtils< TDataType > | inlinestatic |
| SizeType typedef | Kratos::MathUtils< TDataType > | |
| Solve(MatrixType A, VectorType &rX, const VectorType &rB) | Kratos::MathUtils< TDataType > | static |
| StableNorm(const Vector &a) | Kratos::MathUtils< TDataType > | inlinestatic |
| StrainTensorToVector(const TMatrixType &rStrainTensor, SizeType rSize=0) | Kratos::MathUtils< TDataType > | inlinestatic |
| StrainVectorToTensor(const TVector &rStrainVector) | Kratos::MathUtils< TDataType > | inlinestatic |
| StressTensorToVector(const TMatrixType &rStressTensor, SizeType rSize=0) | Kratos::MathUtils< TDataType > | inlinestatic |
| StressVectorToTensor(const TVector &rStressVector) | Kratos::MathUtils< TDataType > | inlinestatic |
| SubtractMatrix(MatrixType &rDestination, const MatrixType &rInputMatrix, const IndexType InitialRow, const IndexType InitialCol) | Kratos::MathUtils< TDataType > | inlinestatic |
| SymmetricTensorToVector(const TMatrixType &rTensor, SizeType rSize=0) | Kratos::MathUtils< TDataType > | inlinestatic |
| TDim | Kratos::MathUtils< TDataType > | |
| TensorProduct3(const Vector &a, const Vector &b) | Kratos::MathUtils< TDataType > | inlinestatic |
| Tolerance | Kratos::MathUtils< TDataType > | |
| UnitCrossProduct(T1 &c, const T2 &a, const T3 &b) | Kratos::MathUtils< TDataType > | inlinestatic |
| VecAdd(Vector &rX, const double coeff, Vector &rY) | Kratos::MathUtils< TDataType > | inlinestatic |
| VectorsAngle(const T1 &rV1, const T2 &rV2) | Kratos::MathUtils< TDataType > | inlinestatic |
| VectorToSymmetricTensor(const TVector &rVector) | Kratos::MathUtils< TDataType > | inlinestatic |
| VectorType typedef | Kratos::MathUtils< TDataType > | |
| WriteMatrix(MatrixType &rDestination, const MatrixType &rInputMatrix, const IndexType InitialRow, const IndexType InitialCol) | Kratos::MathUtils< TDataType > | inlinestatic |
| ZeroTolerance | Kratos::MathUtils< TDataType > | static |
1.9.1