Man page - ggbak(3)

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Manual

ggbak

NAME
SYNOPSIS
Functions
Detailed Description
Function Documentation
subroutine cggbak (character job, character side, integer n, integer ilo,integer ihi, real, dimension( * ) lscale, real, dimension( * ) rscale,integer m, complex, dimension( ldv, * ) v, integer ldv, integer info)
subroutine dggbak (character job, character side, integer n, integer ilo,integer ihi, double precision, dimension( * ) lscale, double precision,dimension( * ) rscale, integer m, double precision, dimension( ldv, * )v, integer ldv, integer info)
subroutine sggbak (character job, character side, integer n, integer ilo,integer ihi, real, dimension( * ) lscale, real, dimension( * ) rscale,integer m, real, dimension( ldv, * ) v, integer ldv, integer info)
subroutine zggbak (character job, character side, integer n, integer ilo,integer ihi, double precision, dimension( * ) lscale, double precision,dimension( * ) rscale, integer m, complex*16, dimension( ldv, * ) v,integer ldv, integer info)
Author

NAME

ggbak - ggbak: back-transform eigvec

SYNOPSIS

Functions

subroutine cggbak (job, side, n, ilo, ihi, lscale, rscale, m, v, ldv, info)
CGGBAK
subroutine dggbak (job, side, n, ilo, ihi, lscale, rscale, m, v, ldv, info)
DGGBAK
subroutine sggbak (job, side, n, ilo, ihi, lscale, rscale, m, v, ldv, info)
SGGBAK
subroutine zggbak (job, side, n, ilo, ihi, lscale, rscale, m, v, ldv, info)
ZGGBAK

Detailed Description

Function Documentation

subroutine cggbak (character job, character side, integer n, integer ilo,integer ihi, real, dimension( * ) lscale, real, dimension( * ) rscale,integer m, complex, dimension( ldv, * ) v, integer ldv, integer info)

CGGBAK

Purpose:

CGGBAK forms the right or left eigenvectors of a complex generalized
eigenvalue problem A*x = lambda*B*x, by backward transformation on
the computed eigenvectors of the balanced pair of matrices output by
CGGBAL.

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 CGGBAL.

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

LSCALE

LSCALE is REAL array, dimension (N)
Details of the permutations and/or scaling factors applied
to the left side of A and B, as returned by CGGBAL.

RSCALE

RSCALE is REAL array, dimension (N)
Details of the permutations and/or scaling factors applied
to the right side of A and B, as returned by CGGBAL.

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 CTGEVC.
On exit, V is overwritten by the transformed eigenvectors.

LDV

LDV is INTEGER
The leading dimension of the matrix 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.

Further Details:

See R.C. Ward, Balancing the generalized eigenvalue problem,
SIAM J. Sci. Stat. Comp. 2 (1981), 141-152.

subroutine dggbak (character job, character side, integer n, integer ilo,integer ihi, double precision, dimension( * ) lscale, double precision,dimension( * ) rscale, integer m, double precision, dimension( ldv, * )v, integer ldv, integer info)

DGGBAK

Purpose:

DGGBAK forms the right or left eigenvectors of a real generalized
eigenvalue problem A*x = lambda*B*x, by backward transformation on
the computed eigenvectors of the balanced pair of matrices output by
DGGBAL.

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 DGGBAL.

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

LSCALE

LSCALE is DOUBLE PRECISION array, dimension (N)
Details of the permutations and/or scaling factors applied
to the left side of A and B, as returned by DGGBAL.

RSCALE

RSCALE is DOUBLE PRECISION array, dimension (N)
Details of the permutations and/or scaling factors applied
to the right side of A and B, as returned by DGGBAL.

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 DTGEVC.
On exit, V is overwritten by the transformed eigenvectors.

LDV

LDV is INTEGER
The leading dimension of the matrix 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.

Further Details:

See R.C. Ward, Balancing the generalized eigenvalue problem,
SIAM J. Sci. Stat. Comp. 2 (1981), 141-152.

subroutine sggbak (character job, character side, integer n, integer ilo,integer ihi, real, dimension( * ) lscale, real, dimension( * ) rscale,integer m, real, dimension( ldv, * ) v, integer ldv, integer info)

SGGBAK

Purpose:

SGGBAK forms the right or left eigenvectors of a real generalized
eigenvalue problem A*x = lambda*B*x, by backward transformation on
the computed eigenvectors of the balanced pair of matrices output by
SGGBAL.

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 SGGBAL.

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

LSCALE

LSCALE is REAL array, dimension (N)
Details of the permutations and/or scaling factors applied
to the left side of A and B, as returned by SGGBAL.

RSCALE

RSCALE is REAL array, dimension (N)
Details of the permutations and/or scaling factors applied
to the right side of A and B, as returned by SGGBAL.

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 STGEVC.
On exit, V is overwritten by the transformed eigenvectors.

LDV

LDV is INTEGER
The leading dimension of the matrix 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.

Further Details:

See R.C. Ward, Balancing the generalized eigenvalue problem,
SIAM J. Sci. Stat. Comp. 2 (1981), 141-152.

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

ZGGBAK

Purpose:

ZGGBAK forms the right or left eigenvectors of a complex generalized
eigenvalue problem A*x = lambda*B*x, by backward transformation on
the computed eigenvectors of the balanced pair of matrices output by
ZGGBAL.

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 ZGGBAL.

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

LSCALE

LSCALE is DOUBLE PRECISION array, dimension (N)
Details of the permutations and/or scaling factors applied
to the left side of A and B, as returned by ZGGBAL.

RSCALE

RSCALE is DOUBLE PRECISION array, dimension (N)
Details of the permutations and/or scaling factors applied
to the right side of A and B, as returned by ZGGBAL.

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 ZTGEVC.
On exit, V is overwritten by the transformed eigenvectors.

LDV

LDV is INTEGER
The leading dimension of the matrix 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.

Further Details:

See R.C. Ward, Balancing the generalized eigenvalue problem,
SIAM J. Sci. Stat. Comp. 2 (1981), 141-152.

Author

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