Developer Reference for Intel® oneAPI Math Kernel Library - C

Developer Reference

  • 2021.1
  • 12/04/2020
  • Public Content
Contents

mkl_?getrinp_compact

Computes the inverse of a set of LU-factorized general matrices, without pivoting, stored in the compact format (see Compact Format for details).

Syntax

void
mkl_sgetrinp_compact
(
MKL_LAYOUT
layout
,
MKL_INT
n
,
float
*
ap
,
MKL_INT
ldap
,
float
*
work
,
MKL_INT
lwork
,
MKL_INT
*
info
,
MKL_COMPACT_PACK
format
,
MKL_INT
nm
);
void
mkl_dgetrinp_compact
(
MKL_LAYOUT
layout
,
MKL_INT
n
,
double
*
ap
,
MKL_INT
ldap
,
double
*
work
,
MKL_INT
lwork
,
MKL_INT
*
info
,
MKL_COMPACT_PACK
format
,
MKL_INT
nm
);
void
mkl_cgetrinp_compact
(
MKL_LAYOUT
layout
,
MKL_INT
n
,
float
*
ap
,
MKL_INT
ldap
,
float
*
work
,
MKL_INT
lwork
,
MKL_INT
*
info
,
MKL_COMPACT_PACK
format
,
MKL_INT
nm
);
void
mkl_zgetrinp_compact
(
MKL_LAYOUT
layout
,
MKL_INT
n
,
double
*
ap
,
MKL_INT
ldap
,
double
*
work
,
MKL_INT
lwork
,
MKL_INT
*
info
,
MKL_COMPACT_PACK
format
,
MKL_INT
nm
);
Description
This routine computes the inverse inv( A
c
) of a set of general,
n
 x
n
 matrices A
c
, that have been stored in Compact format. The factorization (output) data will also be stored in Compact format.
Compact routines have some limitations; see Numerical Limitations.
Input Parameters
layout
Specifies whether two-dimensional array storage is row-major (
MKL_ROW_MAJOR
) or column-major (
MKL_COL_MAJOR
).
n
The order of A
c
; n >= 0.
ap
Points to the beginning of the
nm
 A
c
 matrices. On entry,
ap
 contains the LU factorizations of A
c
, stored in Compact format, as returned by mkl_?getrfnp_compact : A
c
=L
c
*U
c
.
See Compact Format for more details.
ldap
Column stride (column-major layout) or row stride (row-major layout) of A
c
.
work
Points to the beginning of the
work
 array.
lwork
The size of the work array. If lwork = -1, a workspace query is assumed; the routine calculates only the optimal size of the work array and returns this value as the first entry of the work array.
format
Specifies the format of the compact matrices. See Compact Format or
mkl_get_format_compact
 for details.
nm
Total number of matrices stored in Compact format.
Application Notes:
Before calling this routine,
mkl_?gepack_compact
 must be called. After calling this routine,
mkl_?geunpack_compact
 should be called, unless another compact routine will be subsequently called on the Compact format matrices.
The total number of floating-point operations is approximately
nm
* (4/3) n
3
 for real flavors and
nm
* (16/3) n
3
 for complex flavors.
Output Parameters
ap
On exit, A
c
 is overwritten by inv(A
c
).
ap
 points to the beginning of nm inv(A
c
) matrices stored in Compact format.
work[0]
On exit, work[0] contains the minimum value of lwork required for optimum performance. Use this lwork for subsequent runs.
info
The parameter is not currently used in this routine. It is reserved for the future use.

Product and Performance Information

1

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