DGEBAK(l) ) DGEBAK(l)NAME
DGEBAK - form the right or left eigenvectors of a real general matrix
by backward transformation on the computed eigenvectors of the balanced
matrix output by DGEBAL
SYNOPSIS
SUBROUTINE DGEBAK( JOB, SIDE, N, ILO, IHI, SCALE, M, V, LDV, INFO )
CHARACTER JOB, SIDE
INTEGER IHI, ILO, INFO, LDV, M, N
DOUBLE PRECISION SCALE( * ), V( LDV, * )
PURPOSE
DGEBAK forms the right or left eigenvectors of a real general matrix by
backward transformation on the computed eigenvectors of the balanced
matrix output by DGEBAL.
ARGUMENTS
JOB (input) CHARACTER*1
Specifies the type of backward transformation required: = 'N',
do nothing, return immediately; = 'P', do backward transforma‐
tion for permutation only; = 'S', do backward transformation
for scaling only; = 'B', do backward transformations for both
permutation and scaling. JOB must be the same as the argument
JOB supplied to DGEBAL.
SIDE (input) CHARACTER*1
= 'R': V contains right eigenvectors;
= 'L': 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
DGEBAL. 1 <= ILO <= IHI <= N, if N > 0; ILO=1 and IHI=0, if
N=0.
SCALE (input) DOUBLE PRECISION array, dimension (N)
Details of the permutation and scaling factors, as returned by
DGEBAL.
M (input) INTEGER
The number of columns of the matrix V. M >= 0.
V (input/output) DOUBLE PRECISION array, dimension (LDV,M)
On entry, the matrix of right or left eigenvectors to be trans‐
formed, as returned by DHSEIN or DTREVC. On exit, V is over‐
written 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.
LAPACK version 3.0 15 June 2000 DGEBAK(l)
