Developer Reference

  • 2020.2
  • 07/15/2020
  • Public Content
Contents

p?pbsv

Solves a symmetric/Hermitian positive definite banded system of linear equations.

Syntax

call pspbsv
(
uplo
,
n
,
bw
,
nrhs
,
a
,
ja
,
desca
,
b
,
ib
,
descb
,
work
,
lwork
,
info
)
call pdpbsv
(
uplo
,
n
,
bw
,
nrhs
,
a
,
ja
,
desca
,
b
,
ib
,
descb
,
work
,
lwork
,
info
)
call pcpbsv
(
uplo
,
n
,
bw
,
nrhs
,
a
,
ja
,
desca
,
b
,
ib
,
descb
,
work
,
lwork
,
info
)
call pzpbsv
(
uplo
,
n
,
bw
,
nrhs
,
a
,
ja
,
desca
,
b
,
ib
,
descb
,
work
,
lwork
,
info
)
Include Files
Description
The
p?pbsv
routine
solves a system of linear equations
A
(1:
n
,
ja
:
ja
+
n
-1)*
X
=
B
(
ib
:
ib
+
n
-1, 1:
nrhs
)
,
where
A
(1:
n
,
ja
:
ja
+
n
-1)
is an
n
-by-
n
real/complex banded symmetric positive definite distributed matrix with bandwidth
bw
.
Cholesky factorization is used to factor a reordering of the matrix into
L*L'
.
Optimization Notice
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
This notice covers the following instruction sets: SSE2, SSE4.2, AVX2, AVX-512.
Input Parameters
uplo
(global)
CHARACTER
.
Must be
'U'
or
'L'
.
Indicates whether the upper or lower triangular of
A
is stored.
If
uplo
=
'U'
, the upper triangular
A
is stored
If
uplo
=
'L'
, the lower triangular of
A
is stored.
n
(global)
INTEGER
.
The order of the distributed matrix
A
(
n
0)
.
bw
(global)