Man page - gebak(3)

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Manual

gebak

NAME
SYNOPSIS
Functions
Detailed Description
Function Documentation
subroutine cgebak (character job, character side, integer n, integer ilo,integer ihi, real, dimension( * ) scale, integer m, complex, dimension(ldv, * ) v, integer ldv, integer info)
subroutine dgebak (character job, character side, integer n, integer ilo,integer ihi, double precision, dimension( * ) scale, integer m, doubleprecision, dimension( ldv, * ) v, integer ldv, integer info)
subroutine sgebak (character job, character side, integer n, integer ilo,integer ihi, real, dimension( * ) scale, integer m, real, dimension(ldv, * ) v, integer ldv, integer info)
subroutine zgebak (character job, character side, integer n, integer ilo,integer ihi, double precision, dimension( * ) scale, integer m,complex*16, dimension( ldv, * ) v, integer ldv, integer info)
Author

NAME

gebak - gebak: back-transform eigvec

SYNOPSIS

Functions

subroutine cgebak (job, side, n, ilo, ihi, scale, m, v, ldv, info)
CGEBAK
subroutine dgebak (job, side, n, ilo, ihi, scale, m, v, ldv, info)
DGEBAK
subroutine sgebak (job, side, n, ilo, ihi, scale, m, v, ldv, info)
SGEBAK
subroutine zgebak (job, side, n, ilo, ihi, scale, m, v, ldv, info)
ZGEBAK

Detailed Description

Function Documentation

subroutine cgebak (character job, character side, integer n, integer ilo,integer ihi, real, dimension( * ) scale, integer m, complex, dimension(ldv, * ) v, integer ldv, integer info)

CGEBAK

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.

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 CGEBAL.

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 CGEBAL.
1 <= ILO <= IHI <= N, if N > 0; ILO=1 and IHI=0, if N=0.

SCALE

SCALE is REAL array, dimension (N)
Details of the permutation and scaling factors, as returned
by CGEBAL.

M

M is INTEGER
The number of columns of the matrix V. M >= 0.

V

V is 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

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

Univ. of Colorado Denver

NAG Ltd.

subroutine dgebak (character job, character side, integer n, integer ilo,integer ihi, double precision, dimension( * ) scale, integer m, doubleprecision, dimension( ldv, * ) v, integer ldv, integer info)

DGEBAK

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.

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 DGEBAL.

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 DGEBAL.
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 DGEBAL.

M

M is INTEGER
The number of columns of the matrix V. M >= 0.

V

V is DOUBLE PRECISION array, dimension (LDV,M)
On entry, the matrix of right or left eigenvectors to be
transformed, as returned by DHSEIN or DTREVC.
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

Univ. of Colorado Denver

NAG Ltd.

subroutine sgebak (character job, character side, integer n, integer ilo,integer ihi, real, dimension( * ) scale, integer m, real, dimension(ldv, * ) v, integer ldv, integer info)

SGEBAK

Purpose:

SGEBAK forms the right or left eigenvectors of a real general matrix
by backward transformation on the computed eigenvectors of the
balanced matrix output by SGEBAL.

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 SGEBAL.

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 SGEBAL.
1 <= ILO <= IHI <= N, if N > 0; ILO=1 and IHI=0, if N=0.

SCALE

SCALE is REAL array, dimension (N)
Details of the permutation and scaling factors, as returned
by SGEBAL.

M

M is INTEGER
The number of columns of the matrix V. M >= 0.

V

V is REAL array, dimension (LDV,M)
On entry, the matrix of right or left eigenvectors to be
transformed, as returned by SHSEIN or STREVC.
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

Univ. of Colorado Denver

NAG Ltd.

subroutine zgebak (character job, character side, integer n, integer ilo,integer ihi, double precision, dimension( * ) scale, integer m,complex*16, dimension( ldv, * ) v, integer ldv, integer info)

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

Univ. of Colorado Denver

NAG Ltd.

Author

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