Developer Reference for Intel® oneAPI Math Kernel Library - C

Developer Reference

  • 0.9
  • 09/09/2020
  • Public Content
Contents

p?laqge

Scales a general rectangular matrix, using row and column scaling factors computed by
p?geequ
 .

Syntax

void
pslaqge
(
MKL_INT
*m
,
MKL_INT
*n
,
float
*a
,
MKL_INT
*ia
,
MKL_INT
*ja
,
MKL_INT
*desca
,
float
*r
,
float
*c
,
float
*rowcnd
,
float
*colcnd
,
float
*amax
,
char
*equed
);
void
pdlaqge
(
MKL_INT
*m
,
MKL_INT
*n
,
double
*a
,
MKL_INT
*ia
,
MKL_INT
*ja
,
MKL_INT
*desca
,
double
*r
,
double
*c
,
double
*rowcnd
,
double
*colcnd
,
double
*amax
,
char
*equed
);
void
pclaqge
(
MKL_INT
*m
,
MKL_INT
*n
,
MKL_Complex8
*a
,
MKL_INT
*ia
,
MKL_INT
*ja
,
MKL_INT
*desca
,
float
*r
,
float
*c
,
float
*rowcnd
,
float
*colcnd
,
float
*amax
,
char
*equed
);
void
pzlaqge
(
MKL_INT
*m
,
MKL_INT
*n
,
MKL_Complex16
*a
,
MKL_INT
*ia
,
MKL_INT
*ja
,
MKL_INT
*desca
,
double
*r
,
double
*c
,
double
*rowcnd
,
double
*colcnd
,
double
*amax
,
char
*equed
);
Include Files
  • mkl_scalapack.h
Description
The
p?laqge
function
equilibrates a general
m
-by-
n
 distributed matrix sub(
A
) =
A
(
ia
:
ia
+
m
-1
,
ja
:
ja
+
n
-1)
 using the row and scaling factors in the vectors
r
 and
c
 computed by
p?geequ
.
Input Parameters
m
(global)
The number of rows in the distributed matrix sub(
A
).
(
m
≥
0)
.
n
(global)
The number of columns in the distributed matrix sub(
A
).
(
n
≥
0)
.
a
(local).
Pointer into the local memory to an array of size
lld_a
 *
LOCc
(
ja
+
n
-1)
.
On entry, this array contains the distributed matrix sub(
A
).
ia
,
ja
(global) The row and column indices in the global matrix
A
 indicating the first row and the first column of the matrix sub(
A
), respectively.
desca
(global and local) array of size
dlen_
. The array descriptor for the distributed matrix
A
.
r
(local).
Array of size
LOCr
(
m_a
)
. The row scale factors for sub(
A
).
r
 is aligned with the distributed matrix
A
, and replicated across every process column.
r
 is tied to the distributed matrix
A
.
c
(local).
Array of size
LOCc
(
n_a
)
. The row scale factors for sub(
A
).
c
 is aligned with the distributed matrix
A
, and replicated across every process column.
c
 is tied to the distributed matrix
A
.
rowcnd
(local).
The global ratio of the smallest
r
[
i
] to the largest
r
[
i
] ,
ia
-1 ≤
i
 ≤
ia+m
-2
.
colcnd
(local).
The global ratio of the smallest
c
[
i
] to the largest
c
[
i
],
ia
-1 ≤
i
 ≤
ia+n
-2
.
amax
(global).
Absolute value of largest distributed submatrix entry.
Output Parameters
a
(local).
On exit, the equilibrated distributed matrix. See
equed
 for the form of the equilibrated distributed submatrix.
equed
(global)
Specifies the form of equilibration that was done.
=
'N'
: No equilibration
=
'R'
: Row equilibration, that is, sub(
A
) has been pre-multiplied by
diag(r[ia-1:ia+m-2])
,
=
'C'
: column equilibration, that is, sub(
A
) has been post-multiplied by
diag(c[ja-1:ja+n-2])
,
=
'B'
: Both row and column equilibration, that is, sub(
A
) has been replaced by
diag(r[ia-1:ia+m-2])* sub(
A
) * diag(c[ja-1:ja+n-2])
.

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