?hetrs

Developer Reference for Intel® oneAPI Math Kernel Library for C

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ID 766684

Date 4/28/2026

Version

Public

?hetrs_aa

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

Syntax

LAPACK_DECLlapack_intLAPACKE_chetrs_aa ( intmatrix_layout , charuplo , lapack_intn , lapack_intnrhs , constlapack_complex_float*a , lapack_intlda , constlapack_int*ipiv , lapack_complex_float*b , lapack_intldb );

LAPACK_DECLlapack_intLAPACKE_zhetrs_aa ( intmatrix_layout , charuplo , lapack_intn , lapack_intnrhs , constlapack_complex_double*a , lapack_intlda , constlapack_int*ipiv , lapack_complex_double*b , lapack_intldb );

Description

?hetrs_aa solves a system of linear equations A * X = X 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

matrix_layout: Specifies whether matrix storage layout is row major ( LAPACK_ROW_MAJOR ) or column major ( LAPACK_COL_MAJOR ).

uplo

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

The order of the matrix A . n ≥ 0.

nrhs

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

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

ipiv

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

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

work

See Syntax - Workspace . Array of size (max(1, lwork )).

lwork

See Syntax - Workspace . lwork ≥ max(1, 3* n -2).

Output Parameters

b: On exit, the solution matrix X .

Return Values

This function returns a value info .

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

Syntax - Workspace

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

LAPACK_DECLlapack_intLAPACKE_chetrs_aa_work ( intmatrix_layout , charuplo , lapack_intn , lapack_intnrhs , constlapack_complex_float*a , lapack_intlda , constlapack_int*ipiv , lapack_complex_float*b , lapack_intldb , lapack_complex_float*work , lapack_intlwork );

LAPACK_DECLlapack_intLAPACKE_zhetrs_aa_work ( intmatrix_layout , charuplo , lapack_intn , lapack_intnrhs , constlapack_complex_double*a , lapack_intlda , constlapack_int*ipiv , lapack_complex_double*b , lapack_intldb , lapack_complex_double*work , lapack_intlwork );

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