Decomposition Operations<TReal, TComplex>.Hermitian Invert Method
Definition
Assembly: Numerics.NET (in Numerics.NET.dll) Version: 9.0.3
Overload List
Hermitian | Computes the inverse of a complex Hermitian indefinite matrix A using the factorization A = U*D*UH or A = L*D*LH computed by ZHETRF. |
Hermitian | Computes the inverse of a complex Hermitian indefinite matrix A using the factorization A = U*D*UH or A = L*D*LH computed by ZHETRF. |
Hermitian | Computes the inverse of a complex Hermitian indefinite matrix A using the factorization A = U*D*UH or A = L*D*LH computed by ZHETRF. |
HermitianInvert(MatrixTriangle, Int32, Array2D<TComplex>, Array1D<Int32>, Int32)
Computes the inverse of a complex Hermitian indefinite matrix A using the factorization A = U*D*UH or A = L*D*LH computed by ZHETRF.
public void HermitianInvert(
MatrixTriangle uplo,
int n,
Array2D<TComplex> a,
Array1D<int> ipiv,
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.
- a Array2D<TComplex>
A is TComplex array, dimension (LDA,N) On entry, the block diagonal matrix D and the multipliers used to obtain the factor U or L as computed by ZHETRF. On exit, if INFO = 0, the (Hermitian) inverse of the original matrix. If UPLO = 'U', the upper triangular part of the inverse is formed and the part of A below the diagonal is not referenced; if UPLO = 'L' the lower triangular part of the inverse is formed and the part of A above the diagonal is not referenced.
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.
- info Int32
= 0: successful exit < 0: if INFO = -i, the i-th argument had an illegal value > 0: if INFO = i, D(i,i) = 0; the matrix is singular and its inverse could not be computed.
HermitianInvert(MatrixTriangle, Int32, Span2D<TComplex>, Span<Int32>, Int32)
Computes the inverse of a complex Hermitian indefinite matrix A using the factorization A = U*D*UH or A = L*D*LH computed by ZHETRF.
public void HermitianInvert(
MatrixTriangle uplo,
int n,
Span2D<TComplex> a,
Span<int> ipiv,
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.
- a Span2D<TComplex>
A is TComplex array, dimension (LDA,N) On entry, the block diagonal matrix D and the multipliers used to obtain the factor U or L as computed by ZHETRF. On exit, if INFO = 0, the (Hermitian) inverse of the original matrix. If UPLO = 'U', the upper triangular part of the inverse is formed and the part of A below the diagonal is not referenced; if UPLO = 'L' the lower triangular part of the inverse is formed and the part of A above the diagonal is not referenced.
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.
- info Int32
= 0: successful exit < 0: if INFO = -i, the i-th argument had an illegal value > 0: if INFO = i, D(i,i) = 0; the matrix is singular and its inverse could not be computed.
HermitianInvert(MatrixTriangle, Int32, Span<TComplex>, Int32, ReadOnlySpan<Int32>, Int32)
Computes the inverse of a complex Hermitian indefinite matrix A using the factorization A = U*D*UH or A = L*D*LH computed by ZHETRF.
public abstract void HermitianInvert(
MatrixTriangle uplo,
int n,
Span<TComplex> a,
int lda,
ReadOnlySpan<int> ipiv,
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.
- a Span<TComplex>
A is TComplex array, dimension (LDA,N) On entry, the block diagonal matrix D and the multipliers used to obtain the factor U or L as computed by ZHETRF. On exit, if INFO = 0, the (Hermitian) inverse of the original matrix. If UPLO = 'U', the upper triangular part of the inverse is formed and the part of A below the diagonal is not referenced; if UPLO = 'L' the lower triangular part of the inverse is formed and the part of A above the diagonal is not referenced.
- 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.
- info Int32
= 0: successful exit < 0: if INFO = -i, the i-th argument had an illegal value > 0: if INFO = i, D(i,i) = 0; the matrix is singular and its inverse could not be computed.