cgebak (l) - Linux Manuals
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
Command to display cgebak
manual in Linux: $ man l cgebak
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
- SUBROUTINE CGEBAK(
-
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
- 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.
Pages related to cgebak
- cgebak (3)
- cgebal (l) - balances a general complex matrix A
- cgebd2 (l) - reduces a complex general m by n matrix A to upper or lower real bidiagonal form B by a unitary transformation
- cgebrd (l) - reduces a general complex M-by-N matrix A to upper or lower bidiagonal form B by a unitary transformation
- cgecon (l) - estimates the reciprocal of the condition number of a general complex matrix A, in either the 1-norm or the infinity-norm, using the LU factorization computed by CGETRF
- cgeequ (l) - computes row and column scalings intended to equilibrate an M-by-N matrix A and reduce its condition number
- cgeequb (l) - computes row and column scalings intended to equilibrate an M-by-N matrix A and reduce its condition number
- cgees (l) - computes for an N-by-N complex nonsymmetric matrix A, the eigenvalues, the Schur form T, and, optionally, the matrix of Schur vectors Z