Developer Reference for Intel® oneAPI Math Kernel Library - C

Developer Reference

Contents

?lagge

Generates a general
m
-by-
n
 matrix .

Syntax

lapack_int
LAPACKE_slagge
(
int
matrix_layout
,
lapack_int
m
,
lapack_int
n
,
lapack_int
kl
,
lapack_int
ku
,
const
float
*
d
,
float
*
a
,
lapack_int
lda
,
lapack_int
*
iseed
);
lapack_int
LAPACKE_dlagge
(
int
matrix_layout
,
lapack_int
m
,
lapack_int
n
,
lapack_int
kl
,
lapack_int
ku
,
const
double
*
d
,
double
*
a
,
lapack_int
lda
,
lapack_int
*
iseed
);
lapack_int
LAPACKE_clagge
(
int
matrix_layout
,
lapack_int
m
,
lapack_int
n
,
lapack_int
kl
,
lapack_int
ku
,
const
float
*
d
,
lapack_complex_float
*
a
,
lapack_int
lda
,
lapack_int
*
iseed
);
lapack_int
LAPACKE_zlagge
(
int
matrix_layout
,
lapack_int
m
,
lapack_int
n
,
lapack_int
kl
,
lapack_int
ku
,
const
double
*
d
,
lapack_complex_double
*
a
,
lapack_int
lda
,
lapack_int
*
iseed
);
Include Files
  • mkl.h
Description
The routine generates a general
m
-by-
n
 matrix
A
, by pre- and post- multiplying a real diagonal matrix
D
 with random matrices
U
 and
V
:
A
 :=
U
*
D
*
V
,
where
U
 and
V
 are orthogonal for real flavors and unitary for complex flavors. The lower and upper bandwidths may then be reduced to
kl
 and
ku
 by additional orthogonal transformations.
Input Parameters
A
<datatype>
 placeholder, if present, is used for the C interface data types in the C interface section above. See C Interface Conventions for the C interface principal conventions and type definitions.
m
The number of rows of the matrix
A
 (
m
≥
 0
).
n
The number of columns of the matrix
A
 (
n
≥
 0
).
kl
The number of nonzero subdiagonals within the band of
A
 (
0
≤
kl
≤
m
-1)
.
ku
The number of nonzero superdiagonals within the band of
A
 (
0
≤
ku
≤
n
-1)
.
d
The array
d
 with the dimension of (
min(
m
,
n
)
) contains the diagonal elements of the diagonal matrix
D
.
lda
The leading dimension of the array
a
 (
lda
≥
m
)
for column major layout and (
lda
≥
n
) for row major layout
.
iseed
The array
iseed
 with the dimension of 4 contains the seed of the random number generator. The elements must be between 0 and 4095 and
iseed
 must be odd.
Output Parameters
a
The array
a
 with size
at least max(1,
lda
*
n
) for column major layout and max(1,
lda
*
m
) for row major layout
 contains the generated
m
-by-
n
 matrix
A
.
iseed
The array
iseed
 contains the updated seed on exit.
Return Values
This function returns a value
info
.
If
info
 = 0
, the execution is successful.
If
info
 < 0
, the
i
-th parameter had an illegal value.
If
info
 = -1011
, memory allocation error occurred.

Product and Performance Information

1

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