Managed Lapack.Hermitian Estimate Condition Method
Definition
Namespace: Numerics.NET.LinearAlgebra.Implementation
Assembly: Numerics.NET (in Numerics.NET.dll) Version: 9.0.2
Assembly: Numerics.NET (in Numerics.NET.dll) Version: 9.0.2
Overload List
Hermitian | Estimates the reciprocal of the condition number of a complex Hermitian matrix A using the factorization A = U*D*UH or A = L*D*LH computed by ZHETRF. |
Hermitian | Estimates the reciprocal of the condition number of a complex Hermitian matrix A using the factorization A = U*D*UH or A = L*D*LH computed by ZHETRF. |
Hermitian | Estimates the reciprocal of the condition number of a complex Hermitian matrix A using the factorization A = U*D*UH or A = L*D*LH computed by ZHETRF. |
HermitianEstimateCondition(MatrixTriangle, Int32, ReadOnlySpan<Complex<Double>>, Int32, ReadOnlySpan<Int32>, Double, Double, Int32)
Estimates the reciprocal of the condition number of a complex Hermitian matrix A using the factorization A = U*D*UH or A = L*D*LH computed by ZHETRF.
public override void HermitianEstimateCondition(
MatrixTriangle storedTriangle,
int n,
ReadOnlySpan<Complex<double>> a,
int lda,
ReadOnlySpan<int> ipiv,
double anorm,
out double rcond,
out int info
)
Parameters
- storedTriangle MatrixTriangle
- n Int32
The order of the matrix A. N >= 0.
- a ReadOnlySpan<Complex<Double>>
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.
- anorm Double
ANORM is TReal The 1-norm of the original matrix A.
- rcond Double
RCOND is TReal The reciprocal of the condition number of the matrix A, computed as RCOND = 1/(ANORM * AINVNM), where AINVNM is an estimate of the 1-norm of inv(A) computed in this routine.
- info Int32
= 0: successful exit < 0: if INFO = -i, the i-th argument had an illegal value
Remarks
An estimate is obtained for norm(inv(A)), and the reciprocal of the condition number is computed as RCOND = 1 / (ANORM * norm(inv(A))).