Man page - laqz4(3)

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Manual

laqz4

NAME
SYNOPSIS
Functions
Detailed Description
Function Documentation
subroutine dlaqz4 (logical, intent(in) ilschur, logical, intent(in) ilq,logical, intent(in) ilz, integer, intent(in) n, integer, intent(in)ilo, integer, intent(in) ihi, integer, intent(in) nshifts, integer,intent(in) nblock_desired, double precision, dimension( * ),intent(inout) sr, double precision, dimension( * ), intent(inout) si,double precision, dimension( * ), intent(inout) ss, double precision,dimension( lda, * ), intent(inout) a, integer, intent(in) lda, doubleprecision, dimension( ldb, * ), intent(inout) b, integer, intent(in)ldb, double precision, dimension( ldq, * ), intent(inout) q, integer,intent(in) ldq, double precision, dimension( ldz, * ), intent(inout) z,integer, intent(in) ldz, double precision, dimension( ldqc, * ),intent(inout) qc, integer, intent(in) ldqc, double precision,dimension( ldzc, * ), intent(inout) zc, integer, intent(in) ldzc,double precision, dimension( * ), intent(inout) work, integer,intent(in) lwork, integer, intent(out) info)
subroutine slaqz4 (logical, intent(in) ilschur, logical, intent(in) ilq,logical, intent(in) ilz, integer, intent(in) n, integer, intent(in)ilo, integer, intent(in) ihi, integer, intent(in) nshifts, integer,intent(in) nblock_desired, real, dimension( * ), intent(inout) sr,real, dimension( * ), intent(inout) si, real, dimension( * ),intent(inout) ss, real, dimension( lda, * ), intent(inout) a, integer,intent(in) lda, real, dimension( ldb, * ), intent(inout) b, integer,intent(in) ldb, real, dimension( ldq, * ), intent(inout) q, integer,intent(in) ldq, real, dimension( ldz, * ), intent(inout) z, integer,intent(in) ldz, real, dimension( ldqc, * ), intent(inout) qc, integer,intent(in) ldqc, real, dimension( ldzc, * ), intent(inout) zc, integer,intent(in) ldzc, real, dimension( * ), intent(inout) work, integer,intent(in) lwork, integer, intent(out) info)
Author

NAME

laqz4 - laqz4: step in ggev3, gges3

SYNOPSIS

Functions

subroutine dlaqz4 (ilschur, ilq, ilz, n, ilo, ihi, nshifts, nblock_desired, sr, si, ss, a, lda, b, ldb, q, ldq, z, ldz, qc, ldqc, zc, ldzc, work, lwork, info)
DLAQZ4
subroutine slaqz4 (ilschur, ilq, ilz, n, ilo, ihi, nshifts, nblock_desired, sr, si, ss, a, lda, b, ldb, q, ldq, z, ldz, qc, ldqc, zc, ldzc, work, lwork, info)
SLAQZ4

Detailed Description

Function Documentation

subroutine dlaqz4 (logical, intent(in) ilschur, logical, intent(in) ilq,logical, intent(in) ilz, integer, intent(in) n, integer, intent(in)ilo, integer, intent(in) ihi, integer, intent(in) nshifts, integer,intent(in) nblock_desired, double precision, dimension( * ),intent(inout) sr, double precision, dimension( * ), intent(inout) si,double precision, dimension( * ), intent(inout) ss, double precision,dimension( lda, * ), intent(inout) a, integer, intent(in) lda, doubleprecision, dimension( ldb, * ), intent(inout) b, integer, intent(in)ldb, double precision, dimension( ldq, * ), intent(inout) q, integer,intent(in) ldq, double precision, dimension( ldz, * ), intent(inout) z,integer, intent(in) ldz, double precision, dimension( ldqc, * ),intent(inout) qc, integer, intent(in) ldqc, double precision,dimension( ldzc, * ), intent(inout) zc, integer, intent(in) ldzc,double precision, dimension( * ), intent(inout) work, integer,intent(in) lwork, integer, intent(out) info)

DLAQZ4

Purpose:

DLAQZ4 Executes a single multishift QZ sweep

Parameters

ILSCHUR

ILSCHUR is LOGICAL
Determines whether or not to update the full Schur form

ILQ

ILQ is LOGICAL
Determines whether or not to update the matrix Q

ILZ

ILZ is LOGICAL
Determines whether or not to update the matrix Z

N

N is INTEGER
The order of the matrices A, B, Q, and Z. N >= 0.

ILO

ILO is INTEGER

IHI

IHI is INTEGER

NSHIFTS

NSHIFTS is INTEGER
The desired number of shifts to use

NBLOCK_DESIRED

NBLOCK_DESIRED is INTEGER
The desired size of the computational windows

SR

SR is DOUBLE PRECISION array. SR contains
the real parts of the shifts to use.

SI

SI is DOUBLE PRECISION array. SI contains
the imaginary parts of the shifts to use.

SS

SS is DOUBLE PRECISION array. SS contains
the scale of the shifts to use.

A

A is DOUBLE PRECISION array, dimension (LDA, N)

LDA

LDA is INTEGER
The leading dimension of the array A. LDA >= max( 1, N ).

B

B is DOUBLE PRECISION array, dimension (LDB, N)

LDB

LDB is INTEGER
The leading dimension of the array B. LDB >= max( 1, N ).

Q

Q is DOUBLE PRECISION array, dimension (LDQ, N)

LDQ

LDQ is INTEGER

Z

Z is DOUBLE PRECISION array, dimension (LDZ, N)

LDZ

LDZ is INTEGER

QC

QC is DOUBLE PRECISION array, dimension (LDQC, NBLOCK_DESIRED)

LDQC

LDQC is INTEGER

ZC

ZC is DOUBLE PRECISION array, dimension (LDZC, NBLOCK_DESIRED)

LDZC

LDZ is INTEGER

WORK

WORK is DOUBLE PRECISION array, dimension (MAX(1,LWORK))
On exit, if INFO >= 0, WORK(1) returns the optimal LWORK.

LWORK

LWORK is INTEGER
The dimension of the array WORK. LWORK >= max(1,N).

If LWORK = -1, then a workspace query is assumed; the routine
only calculates the optimal size of the WORK array, returns
this value as the first entry of the WORK array, and no error
message related to LWORK is issued by XERBLA.

INFO

INFO is INTEGER
= 0: successful exit
< 0: if INFO = -i, the i-th argument had an illegal value

Author

Thijs Steel, KU Leuven

Date

May 2020

subroutine slaqz4 (logical, intent(in) ilschur, logical, intent(in) ilq,logical, intent(in) ilz, integer, intent(in) n, integer, intent(in)ilo, integer, intent(in) ihi, integer, intent(in) nshifts, integer,intent(in) nblock_desired, real, dimension( * ), intent(inout) sr,real, dimension( * ), intent(inout) si, real, dimension( * ),intent(inout) ss, real, dimension( lda, * ), intent(inout) a, integer,intent(in) lda, real, dimension( ldb, * ), intent(inout) b, integer,intent(in) ldb, real, dimension( ldq, * ), intent(inout) q, integer,intent(in) ldq, real, dimension( ldz, * ), intent(inout) z, integer,intent(in) ldz, real, dimension( ldqc, * ), intent(inout) qc, integer,intent(in) ldqc, real, dimension( ldzc, * ), intent(inout) zc, integer,intent(in) ldzc, real, dimension( * ), intent(inout) work, integer,intent(in) lwork, integer, intent(out) info)

SLAQZ4

Purpose:

SLAQZ4 Executes a single multishift QZ sweep

Parameters

ILSCHUR

ILSCHUR is LOGICAL
Determines whether or not to update the full Schur form

ILQ

ILQ is LOGICAL
Determines whether or not to update the matrix Q

ILZ

ILZ is LOGICAL
Determines whether or not to update the matrix Z

N

N is INTEGER
The order of the matrices A, B, Q, and Z. N >= 0.

ILO

ILO is INTEGER

IHI

IHI is INTEGER

NSHIFTS

NSHIFTS is INTEGER
The desired number of shifts to use

NBLOCK_DESIRED

NBLOCK_DESIRED is INTEGER
The desired size of the computational windows

SR

SR is REAL array. SR contains
the real parts of the shifts to use.

SI

SI is REAL array. SI contains
the imaginary parts of the shifts to use.

SS

SS is REAL array. SS contains
the scale of the shifts to use.

A

A is REAL array, dimension (LDA, N)

LDA

LDA is INTEGER
The leading dimension of the array A. LDA >= max( 1, N ).

B

B is REAL array, dimension (LDB, N)

LDB

LDB is INTEGER
The leading dimension of the array B. LDB >= max( 1, N ).

Q

Q is REAL array, dimension (LDQ, N)

LDQ

LDQ is INTEGER

Z

Z is REAL array, dimension (LDZ, N)

LDZ

LDZ is INTEGER

QC

QC is REAL array, dimension (LDQC, NBLOCK_DESIRED)

LDQC

LDQC is INTEGER

ZC

ZC is REAL array, dimension (LDZC, NBLOCK_DESIRED)

LDZC

LDZ is INTEGER

WORK

WORK is REAL array, dimension (MAX(1,LWORK))
On exit, if INFO >= 0, WORK(1) returns the optimal LWORK.

LWORK

LWORK is INTEGER
The dimension of the array WORK. LWORK >= max(1,N).

If LWORK = -1, then a workspace query is assumed; the routine
only calculates the optimal size of the WORK array, returns
this value as the first entry of the WORK array, and no error
message related to LWORK is issued by XERBLA.

INFO

INFO is INTEGER
= 0: successful exit
< 0: if INFO = -i, the i-th argument had an illegal value

Author

Thijs Steel, KU Leuven

Date

May 2020

Author

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