Developer Reference

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

?lakf2

Forms a matrix containing Kronecker products between the given matrices.

Syntax

void slakf2
(
lapack_int
*m
,
lapack_int
*n
,
float
*a
,
lapack_int
*lda
,
float
*b
,
float
*d
,
float
*e
,
float
*z
,
lapack_int
*ldz
);
void dlakf2
(
lapack_int
*m
,
lapack_int
*n
,
double
*a
,
lapack_int
*lda
,
double
*b
,
double
*d
,
double
*e
,
double
*z
,
lapack_int
*ldz
);
void clakf2
(
lapack_int
*m
,
lapack_int
*n
,
lapack_complex
*a
,
lapack_int
*lda
,
lapack_complex
*b
,
lapack_complex
*d
,
lapack_complex
*e
,
lapack_complex
*z
,
lapack_int
*ldz
);
void zlakf2
(
lapack_int
*m
,
lapack_int
*n
,
lapack_complex_double
*a
,
lapack_int
*lda
,
lapack_complex_double
*b
,
lapack_complex_double
*d
,
lapack_complex_double
*e
,
lapack_complex_double
*z
,
lapack_int
*ldz
);
Include Files
  • mkl.h
Description
The routine
?lakf2
forms the 2*
m
*
n
by 2*
m
*
n
matrix
Z
.
,
where
In
is the identity matrix of size
n
and
X
T
is the transpose of
X
.
kron(
X
,
Y
)
is the Kronecker product between the matrices
X
and
Y
.
Input Parameters
m
Size of matrix,
m
1
n
Size of matrix,
n
1
a
Array, size
lda
-by-
n
. The matrix
A
in the output matrix
Z
.
lda
The leading dimension of
a
,
b
,
d
, and
e
.
lda
m
+
n
.
b
Array, size
lda
by
n
. Matrix used in forming the output matrix
Z
.
d
Array, size
lda
by
m
. Matrix used in forming the output matrix
Z
.
e
Array, size
lda
by
n
. Matrix used in forming the output matrix
Z
.
ldz
The leading dimension of
Z
.
ldz
2*
m
*
n
.
Output Parameters
z
Array, size
ldz
-by-2*
m
*
n
. The resultant Kronecker
m
*
n
*2 -by-
m
*
n
*2 matrix.

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