Contents

# mkl_?diasm

Solves a system of linear matrix equations for a sparse matrix in the diagonal format with one-based indexing (deprecated).

## Syntax

Include Files
• mkl.h
Description
This routine is deprecated. Use mkl_sparse_?_trsmfrom the
Intel® oneAPI Math Kernel Library
Inspector-executor Sparse BLAS interface instead.
The
mkl_?diasm
routine solves a system of linear equations with matrix-matrix operations for a sparse matrix in the diagonal format:
`C := alpha*inv(A)*B`
or
`C := alpha*inv(AT)*B,`
where:
alpha
is scalar,
B
and
C
are dense matrices,
A
is a sparse upper or lower triangular matrix with unit or non-unit main diagonal,
A
T
is the transpose of
A
.
This routine supports only one-based indexing of the input arrays.
Input Parameters
transa
Specifies the system of linear equations.
If
transa
=
'N'
or
'n'
, then
C
:=
alpha
*inv(
A
)*
B
,
If
transa
=
'T'
or
't'
or
'C'
or
'c'
, then
C
:=
alpha
*inv(
A
T
)*
B
.
m
Number of rows of the matrix
A
.
n
Number of columns of the matrix
C
.
alpha
Specifies the scalar
alpha
.
matdescra
Array of six elements, specifies properties of the matrix used for operation. Only first four array elements are used, their possible values are given in
Table “Possible Values of the Parameter
matdescra
(
descra
)”
. Possible combinations of element values of this parameter are given in
Table “Possible Combinations of Element Values of the Parameter
matdescra
.
val
Two-dimensional array of size
lval
by
ndiag
, contains non-zero diagonals of the matrix
A
. Refer to
values
array description in Diagonal Storage Scheme for more details.
lval
Leading dimension of
val
,
lval
m
. Refer to
lval
description in Diagonal Storage Scheme for more details.
idiag
Array of length
ndiag
, contains the distances between main diagonal and each non-zero diagonals in the matrix
A
.
All elements of this array must be sorted in increasing order.
Refer to
distance
array description in Diagonal Storage Scheme for more details.
ndiag
Specifies the number of non-zero diagonals of the matrix
A
.
b
Array, size
ldb
*
n
.
On entry the leading
m
-by-
n
part of the array
b
must contain the matrix
B
.
ldb
Specifies the leading dimension of
b
as declared in the calling (sub)program.
ldc
Specifies the leading dimension of
c
as declared in the calling (sub)program.
Output Parameters
c
Array, size
ldc
by
n
.
The leading
m
-by-
n
part of the array
c
contains the matrix
C
.

#### Product and Performance Information

1

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