Developer Reference

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

p?dtsv

Solves a general tridiagonal system of linear equations.

Syntax

call psdtsv
(
n
,
nrhs
,
dl
,
d
,
du
,
ja
,
desca
,
b
,
ib
,
descb
,
work
,
lwork
,
info
)
call pddtsv
(
n
,
nrhs
,
dl
,
d
,
du
,
ja
,
desca
,
b
,
ib
,
descb
,
work
,
lwork
,
info
)
call pcdtsv
(
n
,
nrhs
,
dl
,
d
,
du
,
ja
,
desca
,
b
,
ib
,
descb
,
work
,
lwork
,
info
)
call pzdtsv
(
n
,
nrhs
,
dl
,
d
,
du
,
ja
,
desca
,
b
,
ib
,
descb
,
work
,
lwork
,
info
)
Include Files
Description
The
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
complex tridiagonal diagonally dominant-like distributed matrix.
Gaussian elimination without pivoting is used to factor a reordering of the matrix into
L U
.
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
n
(global)
INTEGER
.
The order of the distributed submatrix
A
(
n
0)
.
nrhs
INTEGER
.
The number of right hand sides; the number of columns of the distributed matrix
B
(
nrhs
0)
.
dl
(local).
REAL
for
psdtsv
DOUBLE PRECISION
for
pddtsv
COMPLEX
for
pcdtsv
DOUBLE COMPLEX
for
pzdtsv
.
Pointer to local part of global vector storing the lower diagonal of the matrix. Globally,
dl
(1)
is not referenced, and
dl
must be aligned with
d
. Must be of size >
desca
(
nb
_ )
.
d
(local).
REAL
for
psdtsv
DOUBLE PRECISION
for
pddtsv
COMPLEX
for
pcdtsv
DOUBLE COMPLEX
for
pzdtsv
.
Pointer to local part of global vector storing the main diagonal of the matrix.
du
(local).
REAL
for
psdtsv
DOUBLE PRECISION
for
pddtsv
COMPL