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  • Extreme.Mathematics.LinearAlgebra.Implementation
    • DecompositionOperations(T) Class
    • DecompositionOperations(TReal, TComplex) Class
    • GenericDecompositionOperations(T) Class
    • GenericLinearAlgebraOperations(T) Class
    • GenericSparseLinearAlgebraOperations(T) Class
    • IArrayFunctions(T, TShape, TArray) Interface
    • ILinearAlgebraOperations(T) Interface
    • ILinearAlgebraOperations(T, TVector, TMatrix) Interface
    • ISparseLinearAlgebraOperations(T) Interface
    • IVectorFunctions(T) Interface
    • LinearAlgebraOperations(T) Class
    • ManagedArrayFunctions Class
    • ManagedArrayFunctions(T) Class
    • ManagedArrayFunctionsOfSingle Class
    • ManagedLapack Class
    • ManagedLapackOfSingle Class
    • ManagedLinearAlgebraOperations Class
    • ManagedLinearAlgebraOperationsOfSingle Class
    • ManagedSparseLinearAlgebraOperations Class
    • ManagedSparseLinearAlgebraOperationsOfSingle Class
    • SparseLinearAlgebraOperations Class
    • SparseLinearAlgebraOperations(T) Class
    • SparseLinearAlgebraOperationsOfSingle Class
  • ManagedLapack Class
    • Properties
    • Methods
  • Methods
    • BandCholeskyDecompose Method Overloads
    • BandCholeskyEstimateCondition Method Overloads
    • BandCholeskySolve Method Overloads
    • BandLUDecompose Method Overloads
    • BandLUEstimateCondition Method Overloads
    • BandLUSolve Method Overloads
    • BandTriangularSolve Method
    • CholeskyDecompose Method Overloads
    • CholeskyEstimateCondition Method Overloads
    • CholeskyInvert Method Overloads
    • CholeskySolve Method Overloads
    • EigenvalueDecompose Method Overloads
    • GeneralizedEigenvalueDecompose Method Overloads
    • GeneralizedSingularValueDecompose Method Overloads
    • HermitianDecompose Method Overloads
    • HermitianEigenvalueDecompose Method Overloads
    • HermitianEstimateCondition Method Overloads
    • HermitianGeneralizedEigenvalueDecompose Method
    • HermitianInvert Method Overloads
    • HermitianSolve Method Overloads
    • LQDecompose Method Overloads
    • LQOrthogonalMultiply Method
    • LQUnitaryMultiply Method
    • LUDecompose Method Overloads
    • LUEstimateCondition Method Overloads
    • LUInvert Method Overloads
    • LUSolve Method Overloads
    • QLDecompose Method Overloads
    • QLOrthogonalMultiply Method
    • QLUnitaryMultiply Method
    • QRDecompose Method Overloads
    • QROrthogonalMultiply Method
    • QRUnitaryMultiply Method Overloads
    • RQDecompose Method Overloads
    • RQOrthogonalMultiply Method
    • RQUnitaryMultiply Method
    • SingularValueDecompose Method Overloads
    • SymmetricDecompose Method
    • SymmetricEigenvalueDecompose Method
    • SymmetricEstimateCondition Method
    • SymmetricGeneralizedEigenvalueDecompose Method
    • SymmetricInvert Method
    • SymmetricSolve Method
    • TriangularEstimateCondition Method Overloads
    • TriangularInvert Method Overloads
    • TriangularSolve Method Overloads
  • LUSolve Method Overloads
    • LUSolve Method (TransposeOperation, Int32, Int32, Array2D(Complex(Double)), Array1D(Int32), Array2D(Complex(Double)), Int32)
    • LUSolve Method (TransposeOperation, Int32, Int32, Array2D(Double), Array1D(Int32), Array2D(Double), Int32)
    • LUSolve Method (TransposeOperation, Int32, Int32, Array2D(DoubleComplex), Array1D(Int32), Array2D(DoubleComplex), Int32)
ManagedLapackLUSolve Method Extreme Optimization Numerical Libraries for .NET Professional
Overload List

  NameDescription
Public methodLUSolve(TransposeOperation, Int32, Int32, Array2DComplexDouble, Array1DInt32, Array2DComplexDouble, Int32)
ZGETRS solves a system of linear equations A * X = B or A' * X = B with a general N-by-N matrix A using the LU decomposition computed by ZGETRF. Arguments ========= TRANS (input) CHARACTER*1 Specifies the form of the system of equations: = 'N': A * X = B (No transpose) = TransposeOperation.Transpose: A'* X = B (Transpose) = 'C': A'* X = B (Conjugate transpose = Transpose) N (input) INTEGER The elementOrder of the matrix A. N >= 0. NRHS (input) INTEGER The number of right hand sides, i.e., the number of columns of the matrix B. NRHS >= 0. A (input) ZOUBLE PRECISION array, dimension (LDA,N) The factors L and U from the decomposition A = P*L*U as computed by ZGETRF. LDA (input) INTEGER The leading dimension of the array A. LDA >= Max(1,N). IPIV (input) INTEGER array, dimension (N) The pivot indexes from ZGETRF; for 1< =i< =N, row i of the matrix was interchanged with row IPIVi. B (input/output) ZOUBLE PRECISION array, dimension (LDB,NRHS) On entry, the right hand side matrix B. On exit, the solution matrix X. LDB (input) INTEGER The leading dimension of the array B. LDB >= Max(1,N). INFO (output) INTEGER = 0: successful exit < 0: if INFO = -i, the i-th argument had an illegal value =====================================================================
(Overrides DecompositionOperationsTReal, TComplexLUSolve(TransposeOperation, Int32, Int32, Array2DTComplex, Array1DInt32, Array2DTComplex, Int32).)
Public methodLUSolve(TransposeOperation, Int32, Int32, Array2DDouble, Array1DInt32, Array2DDouble, Int32)

Solves a system of linear equations A * X = B or AT * X = B with a general N-by-N matrix A using the LU factorization computed by DGETRF.

(Overrides DecompositionOperationsTReal, TComplexLUSolve(TransposeOperation, Int32, Int32, Array2DTComplex, Array1DInt32, Array2DTComplex, Int32).)
Public methodLUSolve(TransposeOperation, Int32, Int32, Array2DDoubleComplex, Array1DInt32, Array2DDoubleComplex, Int32)
ZGETRS solves a system of linear equations A * X = B or A' * X = B with a general N-by-N matrix A using the LU decomposition computed by ZGETRF. Arguments ========= TRANS (input) CHARACTER*1 Specifies the form of the system of equations: = 'N': A * X = B (No transpose) = TransposeOperation.Transpose: A'* X = B (Transpose) = 'C': A'* X = B (Conjugate transpose = Transpose) N (input) INTEGER The elementOrder of the matrix A. N >= 0. NRHS (input) INTEGER The number of right hand sides, i.e., the number of columns of the matrix B. NRHS >= 0. A (input) ZOUBLE PRECISION array, dimension (LDA,N) The factors L and U from the decomposition A = P*L*U as computed by ZGETRF. LDA (input) INTEGER The leading dimension of the array A. LDA >= Max(1,N). IPIV (input) INTEGER array, dimension (N) The pivot indexes from ZGETRF; for 1< =i< =N, row i of the matrix was interchanged with row IPIVi. B (input/output) ZOUBLE PRECISION array, dimension (LDB,NRHS) On entry, the right hand side matrix B. On exit, the solution matrix X. LDB (input) INTEGER The leading dimension of the array B. LDB >= Max(1,N). INFO (output) INTEGER = 0: successful exit < 0: if INFO = -i, the i-th argument had an illegal value =====================================================================
(Overrides DecompositionOperationsTReal, TComplexLUSolve(TransposeOperation, Int32, Int32, Array2DTComplex, Array1DInt32, Array2DTComplex, Int32).)
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See Also

Reference

ManagedLapack Class
Extreme.Mathematics.LinearAlgebra.Implementation Namespace

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