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CGEBAK

Section: LAPACK routine (version 3.2) (1)
Updated: April 2011
Index

NAME

LAPACK-3 - forms the right or left eigenvectors of a complex general matrix by backward transformation on the computed eigenvectors of the balanced matrix output by CGEBAL

SYNOPSIS

SUBROUTINE CGEBAK(: JOB, SIDE, N, ILO, IHI, SCALE, M, V, LDV,INFO )
: CHARACTERJOB, SIDE
: INTEGERIHI, ILO, INFO, LDV, M, N
: REALSCALE( * )
: COMPLEXV( LDV, * )

PURPOSE

CGEBAK forms the right or left eigenvectors of a complex generalmatrix by backward transformation on the computed eigenvectors of thebalanced matrix output by CGEBAL.

ARGUMENTS

JOB (input) CHARACTER*1: Specifies the type of backward transformation required:
= aqNaq, do nothing, return immediately;
= aqPaq, do backward transformation for permutation only;
= aqSaq, do backward transformation for scaling only;
= aqBaq, do backward transformations for both permutation and
scaling.
JOB must be the same as the argument JOB supplied to CGEBAL.
SIDE (input) CHARACTER*1: = aqRaq: V contains right eigenvectors;

= aqLaq: V contains left eigenvectors.
N (input) INTEGER: The number of rows of the matrix V. N >= 0.
ILO (input) INTEGER: IHI (input) INTEGER
The integers ILO and IHI determined by CGEBAL.
1 <= ILO <= IHI <= N, if N > 0; ILO=1 and IHI=0, if N=0.
SCALE (input) REAL array, dimension (N): Details of the permutation and scaling factors, as returned
by CGEBAL.
M (input) INTEGER: The number of columns of the matrix V. M >= 0.
V (input/output) COMPLEX array, dimension (LDV,M): On entry, the matrix of right or left eigenvectors to be
transformed, as returned by CHSEIN or CTREVC.
On exit, V is overwritten by the transformed eigenvectors.
LDV (input) INTEGER: The leading dimension of the array V. LDV >= max(1,N).
INFO (output) INTEGER: = 0: successful exit

< 0: if INFO = -i, the i-th argument had an illegal value.

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