Contents

# mkl_?bsrsm

Solves a system of linear matrix equations for a sparse matrix in the BSR format (deprecated).

## Syntax

Include Files
• mkl.h
Description
This routine is deprecated. Use mkl_sparse_?_trsmfrom the
Intel® oneAPI Math Kernel Library
The
mkl_?bsrsm
routine solves a system of linear equations with matrix-matrix operations for a sparse matrix in the BSR 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 a BSR format both with one-based indexing and zero-based indexing.
Input Parameters
transa
Specifies the operation.
If
transa
=
'N'
or
'n'
, then the matrix-matrix product is computed as
C
:=
alpha
*inv(
A
)*
B.
If
transa
=
'T'
or
't'
or
'C'
or
'c'
, then the matrix-vector product is computed as
C
:=
alpha
*inv(
A
T
)*
B
.
m
Number of block columns of the matrix
A
.
n
Number of columns of the matrix
C
.
lb
Size of the block in the matrix
A
.
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
Array containing elements of non-zero blocks of the matrix
A
. Its length is equal to the number of non-zero blocks in the matrix
A
multiplied by
lb
*
lb
. Refer to the
values
array description in BSR Format for more details.
The non-zero elements of the given row of the matrix must be stored in the same order as they appear in the row (from left to right).
No diagonal element can be omitted from a sparse storage if the solver is called with the non-unit indicator.
indx
For one-based indexing, array containing the column indices plus one for each non-zero element of the matrix
A
. For zero-based indexing, array containing the column indices for each non-zero element of the matrix
A
.
Its length is equal to the number of non-zero blocks in the matrix
A
.
Refer to the
columns
array description in BSR Format for more details.
pntrb
Array of length
m
.
This array contains row indices, such that
pntrb
[
i
] -
pntrb

is the first index of block row
i
in the array
indx
.
Refer to
pointerB
array description in BSR Format for more details.
pntre
Array of length
m
.
This array contains row indices, such that
pntre
[
i
] -
pntrb
 - 1
is the last index of block row
i
in the arrays
val
and
indx
.
Refer to
pointerE
array description in BSR Format for more details.
b
Array, size
ldb
*
n
for one-based indexing, size
m
*
ldb
for zero-based indexing.
m
-by-
n
part of the array
b
must contain the matrix
B
.
ldb
Specifies the leading dimension (in blocks) of
b
as declared in the calling (sub)program.
ldc
Specifies the leading dimension (in blocks) of
c
as declared in the calling (sub)program.
Output Parameters
c
Array, size
ldc
*
n
for one-based indexing, size
m
*
ldc
for zero-based indexing.
m
-by-
n
part of the array
c
contains the output matrix
C
.

#### Product and Performance Information

1

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