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/home/abuild/rpmbuild/BUILD/lapack-3.12.0/SRC/zungrq.f(3) Library Functions Manual /home/abuild/rpmbuild/BUILD/lapack-3.12.0/SRC/zungrq.f(3)

NAME

/home/abuild/rpmbuild/BUILD/lapack-3.12.0/SRC/zungrq.f

SYNOPSIS

Functions/Subroutines


subroutine ZUNGRQ (m, n, k, a, lda, tau, work, lwork, info)
ZUNGRQ

Function/Subroutine Documentation

subroutine ZUNGRQ (integer m, integer n, integer k, complex*16, dimension( lda, * ) a, integer lda, complex*16, dimension( * ) tau, complex*16, dimension( * ) work, integer lwork, integer info)

ZUNGRQ

Purpose:

!>
!> ZUNGRQ generates an M-by-N complex matrix Q with orthonormal rows,
!> which is defined as the last M rows of a product of K elementary
!> reflectors of order N
!>
!>       Q  =  H(1)**H H(2)**H . . . H(k)**H
!>
!> as returned by ZGERQF.
!> 

Parameters

M

!>          M is INTEGER
!>          The number of rows of the matrix Q. M >= 0.
!> 

N

!>          N is INTEGER
!>          The number of columns of the matrix Q. N >= M.
!> 

K

!>          K is INTEGER
!>          The number of elementary reflectors whose product defines the
!>          matrix Q. M >= K >= 0.
!> 

A

!>          A is COMPLEX*16 array, dimension (LDA,N)
!>          On entry, the (m-k+i)-th row must contain the vector which
!>          defines the elementary reflector H(i), for i = 1,2,...,k, as
!>          returned by ZGERQF in the last k rows of its array argument
!>          A.
!>          On exit, the M-by-N matrix Q.
!> 

LDA

!>          LDA is INTEGER
!>          The first dimension of the array A. LDA >= max(1,M).
!> 

TAU

!>          TAU is COMPLEX*16 array, dimension (K)
!>          TAU(i) must contain the scalar factor of the elementary
!>          reflector H(i), as returned by ZGERQF.
!> 

WORK

!>          WORK is COMPLEX*16 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,M).
!>          For optimum performance LWORK >= M*NB, where NB is the
!>          optimal blocksize.
!>
!>          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 has an illegal value
!> 

Author

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

Definition at line 127 of file zungrq.f.

Author

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Version 3.12.0 LAPACK