Developer Reference

Contents

mkl_?getrinp

Computes the inverse of an LU-factored general matrix without pivoting.

Syntax

lapack_int
LAPACKE_mkl_sgetrinp
(
int
matrix_layout
,
lapack_int
n
,
float
*
a
,
lapack_int
lda
);
lapack_int
LAPACKE_mkl_dgetrinp
(
int
matrix_layout
,
lapack_int
n
,
double
*
a
,
lapack_int
lda
);
lapack_int
LAPACKE_mkl_cgetrinp
(
int
matrix_layout
,
lapack_int
n
,
lapack_complex_float
*
a
,
lapack_int
lda
);
lapack_int
LAPACKE_mkl_zgetrinp
(
int
matrix_layout
,
lapack_int
n
,
lapack_complex_double
*
a
,
lapack_int
lda
);
Include Files
  • mkl.h
Description
The routine computes the inverse
inv(
A
)
of a general matrix
A
. Before calling this routine, call
mkl_?getrfnp
to factorize
A
.
Input Parameters
matrix_layout
Specifies whether matrix storage layout is row major (
LAPACK_ROW_MAJOR
) or column major (
LAPACK_COL_MAJOR
).
n
The order of the matrix
A
;
n
0
.
a
Array
a
(size max(1,
lda
*
n
))
contains the factorization of the matrix
A
, as returned by
mkl_?getrfnp
:
A
=
L*U
. The second dimension of
a
must be at least
max(1,
n
)
.
lda
The leading dimension of
a
;
lda
max(1,
n
)
.
Output Parameters
a
Overwritten by the
n
-by-
n
matrix
inv(
A
)
.
Return Values
This function returns a value
info
.
If
info
= 0
, the execution is successful.
If
info
=
-i
, parameter
i
had an illegal value.
If
info
=
i
, the
i
-th diagonal element of the factor
U
is zero,
U
is singular, and the inversion could not be completed.
Application Notes
The total number of floating-point operations is approximately
(4/3)
n
3
for real flavors and
(16/3)
n
3
for complex flavors.

Product and Performance Information

1

Intel's compilers may or may not optimize to the same degree for non-Intel microprocessors for optimizations that are not unique to Intel microprocessors. These optimizations include SSE2, SSE3, and SSSE3 instruction sets and other optimizations. Intel does not guarantee the availability, functionality, or effectiveness of any optimization on microprocessors not manufactured by Intel. Microprocessor-dependent optimizations in this product are intended for use with Intel microprocessors. Certain optimizations not specific to Intel microarchitecture are reserved for Intel microprocessors. Please refer to the applicable product User and Reference Guides for more information regarding the specific instruction sets covered by this notice.

Notice revision #20110804