.TH "SRC/zunmbr.f" 3 "Version 3.12.0" "LAPACK" \" -*- nroff -*-
.ad l
.nh
.SH NAME
SRC/zunmbr.f
.SH SYNOPSIS
.br
.PP
.SS "Functions/Subroutines"

.in +1c
.ti -1c
.RI "subroutine \fBzunmbr\fP (vect, side, trans, m, n, k, a, lda, tau, c, ldc, work, lwork, info)"
.br
.RI "\fBZUNMBR\fP "
.in -1c
.SH "Function/Subroutine Documentation"
.PP 
.SS "subroutine zunmbr (character vect, character side, character trans, integer m, integer n, integer k, complex*16, dimension( lda, * ) a, integer lda, complex*16, dimension( * ) tau, complex*16, dimension( ldc, * ) c, integer ldc, complex*16, dimension( * ) work, integer lwork, integer info)"

.PP
\fBZUNMBR\fP  
.PP
\fBPurpose:\fP
.RS 4

.PP
.nf
!>
!> If VECT = 'Q', ZUNMBR overwrites the general complex M-by-N matrix C
!> with
!>                 SIDE = 'L'     SIDE = 'R'
!> TRANS = 'N':      Q * C          C * Q
!> TRANS = 'C':      Q**H * C       C * Q**H
!>
!> If VECT = 'P', ZUNMBR overwrites the general complex M-by-N matrix C
!> with
!>                 SIDE = 'L'     SIDE = 'R'
!> TRANS = 'N':      P * C          C * P
!> TRANS = 'C':      P**H * C       C * P**H
!>
!> Here Q and P**H are the unitary matrices determined by ZGEBRD when
!> reducing a complex matrix A to bidiagonal form: A = Q * B * P**H\&. Q
!> and P**H are defined as products of elementary reflectors H(i) and
!> G(i) respectively\&.
!>
!> Let nq = m if SIDE = 'L' and nq = n if SIDE = 'R'\&. Thus nq is the
!> order of the unitary matrix Q or P**H that is applied\&.
!>
!> If VECT = 'Q', A is assumed to have been an NQ-by-K matrix:
!> if nq >= k, Q = H(1) H(2) \&. \&. \&. H(k);
!> if nq < k, Q = H(1) H(2) \&. \&. \&. H(nq-1)\&.
!>
!> If VECT = 'P', A is assumed to have been a K-by-NQ matrix:
!> if k < nq, P = G(1) G(2) \&. \&. \&. G(k);
!> if k >= nq, P = G(1) G(2) \&. \&. \&. G(nq-1)\&.
!> 
.fi
.PP
 
.RE
.PP
\fBParameters\fP
.RS 4
\fIVECT\fP 
.PP
.nf
!>          VECT is CHARACTER*1
!>          = 'Q': apply Q or Q**H;
!>          = 'P': apply P or P**H\&.
!> 
.fi
.PP
.br
\fISIDE\fP 
.PP
.nf
!>          SIDE is CHARACTER*1
!>          = 'L': apply Q, Q**H, P or P**H from the Left;
!>          = 'R': apply Q, Q**H, P or P**H from the Right\&.
!> 
.fi
.PP
.br
\fITRANS\fP 
.PP
.nf
!>          TRANS is CHARACTER*1
!>          = 'N':  No transpose, apply Q or P;
!>          = 'C':  Conjugate transpose, apply Q**H or P**H\&.
!> 
.fi
.PP
.br
\fIM\fP 
.PP
.nf
!>          M is INTEGER
!>          The number of rows of the matrix C\&. M >= 0\&.
!> 
.fi
.PP
.br
\fIN\fP 
.PP
.nf
!>          N is INTEGER
!>          The number of columns of the matrix C\&. N >= 0\&.
!> 
.fi
.PP
.br
\fIK\fP 
.PP
.nf
!>          K is INTEGER
!>          If VECT = 'Q', the number of columns in the original
!>          matrix reduced by ZGEBRD\&.
!>          If VECT = 'P', the number of rows in the original
!>          matrix reduced by ZGEBRD\&.
!>          K >= 0\&.
!> 
.fi
.PP
.br
\fIA\fP 
.PP
.nf
!>          A is COMPLEX*16 array, dimension
!>                                (LDA,min(nq,K)) if VECT = 'Q'
!>                                (LDA,nq)        if VECT = 'P'
!>          The vectors which define the elementary reflectors H(i) and
!>          G(i), whose products determine the matrices Q and P, as
!>          returned by ZGEBRD\&.
!> 
.fi
.PP
.br
\fILDA\fP 
.PP
.nf
!>          LDA is INTEGER
!>          The leading dimension of the array A\&.
!>          If VECT = 'Q', LDA >= max(1,nq);
!>          if VECT = 'P', LDA >= max(1,min(nq,K))\&.
!> 
.fi
.PP
.br
\fITAU\fP 
.PP
.nf
!>          TAU is COMPLEX*16 array, dimension (min(nq,K))
!>          TAU(i) must contain the scalar factor of the elementary
!>          reflector H(i) or G(i) which determines Q or P, as returned
!>          by ZGEBRD in the array argument TAUQ or TAUP\&.
!> 
.fi
.PP
.br
\fIC\fP 
.PP
.nf
!>          C is COMPLEX*16 array, dimension (LDC,N)
!>          On entry, the M-by-N matrix C\&.
!>          On exit, C is overwritten by Q*C or Q**H*C or C*Q**H or C*Q
!>          or P*C or P**H*C or C*P or C*P**H\&.
!> 
.fi
.PP
.br
\fILDC\fP 
.PP
.nf
!>          LDC is INTEGER
!>          The leading dimension of the array C\&. LDC >= max(1,M)\&.
!> 
.fi
.PP
.br
\fIWORK\fP 
.PP
.nf
!>          WORK is COMPLEX*16 array, dimension (MAX(1,LWORK))
!>          On exit, if INFO = 0, WORK(1) returns the optimal LWORK\&.
!> 
.fi
.PP
.br
\fILWORK\fP 
.PP
.nf
!>          LWORK is INTEGER
!>          The dimension of the array WORK\&.
!>          If SIDE = 'L', LWORK >= max(1,N);
!>          if SIDE = 'R', LWORK >= max(1,M);
!>          if N = 0 or M = 0, LWORK >= 1\&.
!>          For optimum performance LWORK >= max(1,N*NB) if SIDE = 'L',
!>          and LWORK >= max(1,M*NB) if SIDE = 'R', where NB is the
!>          optimal blocksize\&. (NB = 0 if M = 0 or N = 0\&.)
!>
!>          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\&.
!> 
.fi
.PP
.br
\fIINFO\fP 
.PP
.nf
!>          INFO is INTEGER
!>          = 0:  successful exit
!>          < 0:  if INFO = -i, the i-th argument had an illegal value
!> 
.fi
.PP
 
.RE
.PP
\fBAuthor\fP
.RS 4
Univ\&. of Tennessee 

.PP
Univ\&. of California Berkeley 

.PP
Univ\&. of Colorado Denver 

.PP
NAG Ltd\&. 
.RE
.PP

.PP
Definition at line \fB194\fP of file \fBzunmbr\&.f\fP\&.
.SH "Author"
.PP 
Generated automatically by Doxygen for LAPACK from the source code\&.