Developer Reference

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

p?sygvx

Computes selected eigenvalues and, optionally, eigenvectors of a real generalized symmetric definite eigenproblem.

Syntax

call pssygvx
(
ibtype
,
jobz
,
range
,
uplo
,
n
,
a
,
ia
,
ja
,
desca
,
b
,
ib
,
jb
,
descb
,
vl
,
vu
,
il
,
iu
,
abstol
,
m
,
nz
,
w
,
orfac
,
z
,
iz
,
jz
,
descz
,
work
,
lwork
,
iwork
,
liwork
,
ifail
,
iclustr
,
gap
,
info
)
call pdsygvx
(
ibtype
,
jobz
,
range
,
uplo
,
n
,
a
,
ia
,
ja
,
desca
,
b
,
ib
,
jb
,
descb
,
vl
,
vu
,
il
,
iu
,
abstol
,
m
,
nz
,
w
,
orfac
,
z
,
iz
,
jz
,
descz
,
work
,
lwork
,
iwork
,
liwork
,
ifail
,
iclustr
,
gap
,
info
)
Include Files
Description
The
p?sygvx
routine
computes all the eigenvalues, and optionally, the eigenvectors of a real generalized symmetric-definite eigenproblem, of the form
sub(
A
)*
x
=
λ
*sub(
B
)*
x
,
sub(
A
) sub(
B
)*
x
=
λ*
x
, or
sub(
B
)*sub(
A
)*
x
=
λ*
x
.
Here
x
denotes eigen vectors, λ (
lambda
) denotes eigenvalues,
sub(
A
)
denoting
A(
ia
:
ia
+
n
-1,
ja
:
ja
+
n
-1)
is assumed to symmetric, and sub(
B
) denoting
B
(
ib
:
ib
+
n
-1,
jb
:
jb
+
n
-1)
is also positive definite.
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
ibtype
(global)
INTEGER
.
Must be 1 or 2 or 3.
Specifies the problem type to be solved:
If
ibtype
= 1
, the problem type is
sub(
A
)*
x
=
lambda
*sub(
B
)
*x
;
If
ibtype
= 2
, the problem type is
sub(
A
)*sub(
B
)
*x
=
lambda
*x
;
If
ibtype
= 3
, the problem type is
sub(
B
)*sub(
A
)
*x<