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.
Namespace: Extreme.Mathematics.LinearAlgebra.ImplementationAssembly: Extreme.Numerics.Generic.Net40 (in Extreme.Numerics.Generic.Net40.dll) Version: 6.0.16073.0 (6.0.16355.0)
public override void HermitianEstimateCondition(
MatrixTriangle storedTriangle,
int n,
Array2D<Complex<T>> a,
Array1D<int> ipiv,
T anorm,
out T rcond,
out int info
)
Public Overrides Sub HermitianEstimateCondition (
storedTriangle As MatrixTriangle,
n As Integer,
a As Array2D(Of Complex(Of T)),
ipiv As Array1D(Of Integer),
anorm As T,
<OutAttribute> ByRef rcond As T,
<OutAttribute> ByRef info As Integer
)
public:
virtual void HermitianEstimateCondition(
MatrixTriangle storedTriangle,
int n,
Array2D<Complex<T>> a,
Array1D<int> ipiv,
T anorm,
[OutAttribute] T% rcond,
[OutAttribute] int% info
) override
abstract HermitianEstimateCondition :
storedTriangle : MatrixTriangle *
n : int *
a : Array2D<Complex<'T>> *
ipiv : Array1D<int> *
anorm : 'T *
rcond : 'T byref *
info : int byref -> unit
override HermitianEstimateCondition :
storedTriangle : MatrixTriangle *
n : int *
a : Array2D<Complex<'T>> *
ipiv : Array1D<int> *
anorm : 'T *
rcond : 'T byref *
info : int byref -> unit
Parameters
- storedTriangle
- Type: Extreme.MathematicsMatrixTriangle
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
- Type: SystemInt32
The order of the matrix A. N >= 0.
- a
- Type: Extreme.CollectionsArray2DComplexT
A is complex 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
- Type: Extreme.CollectionsArray1DInt32
Dimension (N)
Details of the interchanges and the block structure of D
as determined by ZHETRF.
- anorm
- Type: T
The 1-norm of the original matrix A.
- rcond
- Type: T
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
- Type: SystemInt32
info is INTEGER
= 0: successful exit
< 0: if info = -i, the i-th argument had an illegal value
An estimate is obtained for norm(inv(A)), and the reciprocal of the
condition number is computed as RCOND = 1 / (ANORM * norm(inv(A))).
Numerical Libraries
Supported in: 6.0
Reference