?hetrs2

Developer Reference for Intel® oneAPI Math Kernel Library for C

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ID 766684

Date 3/31/2023

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?hetrs2

Solves a system of linear equations with a UDU- or LDL-factored Hermitian coefficient matrix.

Syntax

lapack_int LAPACKE_chetrs2 (int matrix_layout , char uplo , lapack_int n , lapack_int nrhs , const lapack_complex_float * a , lapack_int lda , const lapack_int * ipiv , lapack_complex_float * b , lapack_int ldb );

lapack_int LAPACKE_zhetrs2 (int matrix_layout , char uplo , lapack_int n , lapack_int nrhs , const lapack_complex_double * a , lapack_int lda , const lapack_int * ipiv , lapack_complex_double * b , lapack_int ldb );

Include Files

mkl.h

Description

The routine solves a system of linear equations A*X = B with a complex Hermitian matrix A using the factorization of A:

if `uplo='U'`,	`A = UDU^H`
if `uplo='L'`,	`A = LDL^H`

where

U and L are upper and lower triangular matrices with unit diagonal
D is a Hermitian block-diagonal matrix.

The factorization is computed by ?hetrf.

Input Parameters

matrix_layout	Specifies whether matrix storage layout is row major (LAPACK_ROW_MAJOR) or column major (LAPACK_COL_MAJOR).
uplo	Must be 'U' or 'L'. Indicates how the input matrix `A` has been factored: If `uplo = 'U'`, the array `a` stores the upper triangular factor `U` of the factorization `A` = `UDU^H`. If `uplo = 'L'`, the array `a` stores the lower triangular factor `L` of the factorization `A` = `LDL^H`.
n	The order of matrix `A`; `n`≥ 0.
nrhs	The number of right-hand sides; nrhs≥ 0.
a	The array `a` of size max(1, lda*n) contains the block diagonal matrix `D` and the multipliers used to obtain the factor `U` or `L` as computed by ?hetrf.
b	The array `b` of size max(1, ldbnrhs) for column major layout and max(1, ldbn) for row major layout contains the right-hand side matrix `B`.
lda	The leading dimension of `a`; `lda≥ max(1, n)`.
ldb	The leading dimension of `b`; `ldb`≥ max(1, n) for column major layout and `ldb`≥nrhs for row major layout.
ipiv	Array of size `n`. The ipiv array contains details of the interchanges and the block structure of `D` as determined by ?hetrf.

Output Parameters

b	Overwritten by the solution matrix `X`.

Return Values

This function returns a value info.

If info = 0, the execution is successful.

If info = -i, parameter i had an illegal value.

Parent topic: Solving Systems of Linear Equations: LAPACK Computational Routines

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Developer Reference for Intel® oneAPI Math Kernel Library for C

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