Developer Reference for Intel® oneAPI Math Kernel Library - C

Developer Reference

Contents

?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
 =
U*D*U
H
if
uplo
=
'L'
,
A
 =
L*D*L
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
 =
U*D*U
H
.
If
uplo
 =
'L'
, the array
a
 stores the lower triangular factor
L
 of the factorization
A
 =
L*D*L
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,
ldb
*
nrhs
) for column major layout and max(1,
ldb
*
n
) 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.

Product and Performance Information

1

Performance varies by use, configuration and other factors. Learn more at www.Intel.com/PerformanceIndex.