GenericDecompositionOperations<T>.HermitianSolve Method

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.

Definition

Namespace: Extreme.Mathematics.LinearAlgebra.Implementation
Assembly: Extreme.Numerics.Generic (in Extreme.Numerics.Generic.dll) Version: 8.1.4
C#
public override void HermitianSolve(
	MatrixTriangle storedTriangle,
	int n,
	int nrhs,
	Array2D<Complex<T>> a,
	Array1D<int> ipiv,
	Array2D<Complex<T>> b,
	out int info
)

Parameters

storedTriangle  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<Complex<T>>
            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  Array1D<Int32>
            Dimension (N)
            Details of the interchanges and the block structure of D
            as determined by ZHETRF.
            
b  Array2D<Complex<T>>
            B is complex 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
info is INTEGER
            = 0:  successful exit
            < 0:  if info = -i, the i-th argument had an illegal value
            

See Also