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CGEBAK(1) LAPACK routine (version 3.2) CGEBAK(1)

NAME

CGEBAK - 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

JOB, SIDE, N, ILO, IHI, SCALE, M, V, LDV, INFO )

CHARACTER JOB, SIDE INTEGER IHI, ILO, INFO, LDV, M, N REAL SCALE( * ) COMPLEX V( LDV, * )

PURPOSE

CGEBAK 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.

ARGUMENTS

Specifies the type of backward transformation required: = 'N', do nothing, return immediately; = 'P', do backward transformation 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 CGEBAL.
= 'R': V contains right eigenvectors;
= 'L': V contains left eigenvectors.
The number of rows of the matrix V. N >= 0.
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.
Details of the permutation and scaling factors, as returned by CGEBAL.
The number of columns of the matrix V. M >= 0.
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.
The leading dimension of the array V. LDV >= max(1,N).
= 0: successful exit
< 0: if INFO = -i, the i-th argument had an illegal value.
November 2008 LAPACK routine (version 3.2)