?hetrs

Developer Reference for Intel® oneAPI Math Kernel Library for Fortran

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ID 766686

Date 10/15/2026

Version

Public

?hetrs_aa

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

Syntax

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 \(A * X = B\) with a complex Hermitian matrix \(A\) using the factorization \(A = U * T * U^H\) or \(A = L * T * L^H\) 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 \(A = U * T * U^H\) . If uplo = ‘L’: Lower triangular of the form \(A = L * T * L^H\) .

n: INTEGER. Specifies the order of the matrix A. The value of n must be at least zero.

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.

Return Values

No return value, info is an Output Parameter.

Syntax - Workspace

Use this interface if you want to explicitly provide the workspace array.

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