Decomposition Operations<TReal, TComplex>.Hermitian Solve Method
Definition
Assembly: Numerics.NET (in Numerics.NET.dll) Version: 9.0.3
Overload List
Hermitian | Solves a system of linear equations A*X = B with a complex Hermitian matrix A using the factorization A = U*D*UH or A = L*D*LH computed by ZHETRF. |
Hermitian | Solves a system of linear equations A*X = B with a complex Hermitian matrix A using the factorization A = U*D*UH or A = L*D*LH computed by ZHETRF. |
Hermitian | Solves a system of linear equations A*X = B with a complex Hermitian matrix A using the factorization A = U*D*UH or A = L*D*LH computed by ZHETRF. |
HermitianSolve(MatrixTriangle, Int32, Int32, Array2D<TComplex>, Array1D<Int32>, Array2D<TComplex>, Int32)
Solves a system of linear equations A*X = B with a complex Hermitian matrix A using the factorization A = U*D*UH or A = L*D*LH computed by ZHETRF.
public void HermitianSolve(
MatrixTriangle uplo,
int n,
int nrhs,
Array2D<TComplex> a,
Array1D<int> ipiv,
Array2D<TComplex> b,
out int info
)
Parameters
- uplo MatrixTriangle
Specifies whether the details of the factorization are stored as an upper or lower triangular matrix. = 'U': Upper triangular, form is A = U*D*UH; = 'L': Lower triangular, form is A = L*D*LH.
- n Int32
The order of the matrix A. N >= 0.
- nrhs Int32
The number of right hand sides, i.e., the number of columns of the matrix B. NRHS >= 0.
- a Array2D<TComplex>
A is TComplex array, dimension (LDA,N) The block diagonal matrix D and the multipliers used to obtain the factor U or L as computed by ZHETRF.
The leading dimension of the array A. LDA >= max(1,N).
- ipiv Array1D<Int32>
Dimension (N) Details of the interchanges and the block structure of D as determined by ZHETRF.
- b Array2D<TComplex>
B is TComplex array, dimension (LDB,NRHS) On entry, the right hand side matrix B. On exit, the solution matrix X.
The leading dimension of the array B. LDB >= max(1,N).
- info Int32
= 0: successful exit < 0: if INFO = -i, the i-th argument had an illegal value
HermitianSolve(MatrixTriangle, Int32, Int32, ReadOnlySpan2D<TComplex>, Span<Int32>, Span2D<TComplex>, Int32)
Solves a system of linear equations A*X = B with a complex Hermitian matrix A using the factorization A = U*D*UH or A = L*D*LH computed by ZHETRF.
public void HermitianSolve(
MatrixTriangle uplo,
int n,
int nrhs,
ReadOnlySpan2D<TComplex> a,
Span<int> ipiv,
Span2D<TComplex> b,
out int info
)
Parameters
- uplo MatrixTriangle
Specifies whether the details of the factorization are stored as an upper or lower triangular matrix. = 'U': Upper triangular, form is A = U*D*UH; = 'L': Lower triangular, form is A = L*D*LH.
- n Int32
The order of the matrix A. N >= 0.
- nrhs Int32
The number of right hand sides, i.e., the number of columns of the matrix B. NRHS >= 0.
- a ReadOnlySpan2D<TComplex>
A is TComplex array, dimension (LDA,N) The block diagonal matrix D and the multipliers used to obtain the factor U or L as computed by ZHETRF.
The leading dimension of the array A. LDA >= max(1,N).
- ipiv Span<Int32>
Dimension (N) Details of the interchanges and the block structure of D as determined by ZHETRF.
- b Span2D<TComplex>
B is TComplex array, dimension (LDB,NRHS) On entry, the right hand side matrix B. On exit, the solution matrix X.
The leading dimension of the array B. LDB >= max(1,N).
- info Int32
= 0: successful exit < 0: if INFO = -i, the i-th argument had an illegal value
HermitianSolve(MatrixTriangle, Int32, Int32, ReadOnlySpan<TComplex>, Int32, ReadOnlySpan<Int32>, Span<TComplex>, Int32, Int32)
Solves a system of linear equations A*X = B with a complex Hermitian matrix A using the factorization A = U*D*UH or A = L*D*LH computed by ZHETRF.
public abstract void HermitianSolve(
MatrixTriangle uplo,
int n,
int nrhs,
ReadOnlySpan<TComplex> a,
int lda,
ReadOnlySpan<int> ipiv,
Span<TComplex> b,
int ldb,
out int info
)
Parameters
- uplo MatrixTriangle
Specifies whether the details of the factorization are stored as an upper or lower triangular matrix. = 'U': Upper triangular, form is A = U*D*UH; = 'L': Lower triangular, form is A = L*D*LH.
- n Int32
The order of the matrix A. N >= 0.
- nrhs Int32
The number of right hand sides, i.e., the number of columns of the matrix B. NRHS >= 0.
- a ReadOnlySpan<TComplex>
A is TComplex array, dimension (LDA,N) The block diagonal matrix D and the multipliers used to obtain the factor U or L as computed by ZHETRF.
- lda Int32
The leading dimension of the array A. LDA >= max(1,N).
- ipiv ReadOnlySpan<Int32>
Dimension (N) Details of the interchanges and the block structure of D as determined by ZHETRF.
- b Span<TComplex>
B is TComplex array, dimension (LDB,NRHS) On entry, the right hand side matrix B. On exit, the solution matrix X.
- ldb Int32
The leading dimension of the array B. LDB >= max(1,N).
- info Int32
= 0: successful exit < 0: if INFO = -i, the i-th argument had an illegal value