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zgebak.f -

# SYNOPSIS

## Functions/Subroutines

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

ZGEBAK

# Function/Subroutine Documentation

## subroutine zgebak (characterJOB, characterSIDE, integerN, integerILO, integerIHI, double precision, dimension( * )SCALE, integerM, complex*16, dimension( ldv, * )V, integerLDV, integerINFO)

ZGEBAK
Purpose:
``` ZGEBAK forms the right or left eigenvectors of a complex general
matrix by backward transformation on the computed eigenvectors of the
balanced matrix output by ZGEBAL.
```
Parameters:
JOB
```          JOB is CHARACTER*1
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 ZGEBAL.
```
SIDE
```          SIDE is CHARACTER*1
= 'R':  V contains right eigenvectors;
= 'L':  V contains left eigenvectors.
```
N
```          N is INTEGER
The number of rows of the matrix V.  N >= 0.
```
ILO
```          ILO is INTEGER
```
IHI
```          IHI is INTEGER
The integers ILO and IHI determined by ZGEBAL.
1 <= ILO <= IHI <= N, if N > 0; ILO=1 and IHI=0, if N=0.
```
SCALE
```          SCALE is DOUBLE PRECISION array, dimension (N)
Details of the permutation and scaling factors, as returned
by ZGEBAL.
```
M
```          M is INTEGER
The number of columns of the matrix V.  M >= 0.
```
V
```          V is COMPLEX*16 array, dimension (LDV,M)
On entry, the matrix of right or left eigenvectors to be
transformed, as returned by ZHSEIN or ZTREVC.
On exit, V is overwritten by the transformed eigenvectors.
```
LDV
```          LDV is INTEGER
The leading dimension of the array V. LDV >= max(1,N).
```
INFO
```          INFO is INTEGER
= 0:  successful exit
< 0:  if INFO = -i, the i-th argument had an illegal value.
```
Author:
Univ. of Tennessee
Univ. of California Berkeley
NAG Ltd.
Date:
November 2011
Definition at line 131 of file zgebak.f.

# Author

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