Developer Reference for Intel® oneAPI Math Kernel Library for Fortran

ID 766686
Date 3/31/2023
Public

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?hetrs_aa

BSolves a system of linear equations A*X = with a complex Hermitian matrix.

call chetrs_aa(uplo, n, nrhs, a, lda, ipiv, b, ldb, work, lwork, info)

call zhetrs_aa(uplo, n, nrhs, a, lda, ipiv, b, ldb, work, lwork, info)

Description

?hetrs_aa solves a system of linear equations A*X = X with a complex Hermitian matrix A using the factorization A = U * T * UH or A = L * T * LH computed by ?hetrf_aa.

Input Parameters
uplo

CHARACTER*1. Specifies whether the details of the factorization are stored as an upper or lower triangular matrix.

If uplo = 'U': Upper triangular of the form A = U * T * UH.

If uplo= 'L': Lower triangular of the form A = L * T * LH.

n

INTEGER. The order of the matrix A. n 0.

nrhs

INTEGER. The number of right hand sides: the number of columns of the matrix b. nrhs 0.

a

COMPLEX for chetrs_aa

COMPLEX*16 for zhetrs_aa

Array of size (lda, n). Details of factors computed by ?hetrf_aa.

lda

INTEGER. The leading dimension of the array a. lda max(1,n).

ipiv

INTEGER . Array of size (n). Details of the interchanges as computed by ?hetrf_aa.

b

COMPLEX for chetrs_aa

COMPLEX*16 for zhetrs_aa

Array of size (ldb, nrhs). On entry, the right hand side matrix B.

ldb

INTEGER. The leading dimension of the array b. ldb max(1, n).

work

DOUBLE . Array of size (max(1, lwork)).

lwork

INTEGER. lwork max(1, 3*n-2).

Output Parameters
b

On exit, the solution matrix X.

info

INTEGER.

If info = 0: successful exit.

If info < 0: if info = -i, the i-th argument had an illegal value.