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

.in +1c
.ti -1c
.RI "subroutine \fBztpmlqt\fP (side, trans, m, n, k, l, mb, v, ldv, t, ldt, a, lda, b, ldb, work, info)"
.br
.RI "\fBZTPMLQT\fP "
.in -1c
.SH "Function/Subroutine Documentation"
.PP 
.SS "subroutine ztpmlqt (character side, character trans, integer m, integer n, integer k, integer l, integer mb, complex*16, dimension( ldv, * ) v, integer ldv, complex*16, dimension( ldt, * ) t, integer ldt, complex*16, dimension( lda, * ) a, integer lda, complex*16, dimension( ldb, * ) b, integer ldb, complex*16, dimension( * ) work, integer info)"

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

.PP
.nf
 ZTPMLQT applies a complex unitary matrix Q obtained from a
 'triangular-pentagonal' complex block reflector H to a general
 complex matrix C, which consists of two blocks A and B\&.
.fi
.PP
 
.RE
.PP
\fBParameters\fP
.RS 4
\fISIDE\fP 
.PP
.nf
          SIDE is CHARACTER*1
          = 'L': apply Q or Q**H from the Left;
          = 'R': apply Q or Q**H from the Right\&.
.fi
.PP
.br
\fITRANS\fP 
.PP
.nf
          TRANS is CHARACTER*1
          = 'N':  No transpose, apply Q;
          = 'C':  Conjugate transpose, apply Q**H\&.
.fi
.PP
.br
\fIM\fP 
.PP
.nf
          M is INTEGER
          The number of rows of the matrix B\&. M >= 0\&.
.fi
.PP
.br
\fIN\fP 
.PP
.nf
          N is INTEGER
          The number of columns of the matrix B\&. N >= 0\&.
.fi
.PP
.br
\fIK\fP 
.PP
.nf
          K is INTEGER
          The number of elementary reflectors whose product defines
          the matrix Q\&.
.fi
.PP
.br
\fIL\fP 
.PP
.nf
          L is INTEGER
          The order of the trapezoidal part of V\&.
          K >= L >= 0\&.  See Further Details\&.
.fi
.PP
.br
\fIMB\fP 
.PP
.nf
          MB is INTEGER
          The block size used for the storage of T\&.  K >= MB >= 1\&.
          This must be the same value of MB used to generate T
          in ZTPLQT\&.
.fi
.PP
.br
\fIV\fP 
.PP
.nf
          V is COMPLEX*16 array, dimension (LDV,K)
          The i-th row must contain the vector which defines the
          elementary reflector H(i), for i = 1,2,\&.\&.\&.,k, as returned by
          ZTPLQT in B\&.  See Further Details\&.
.fi
.PP
.br
\fILDV\fP 
.PP
.nf
          LDV is INTEGER
          The leading dimension of the array V\&. LDV >= K\&.
.fi
.PP
.br
\fIT\fP 
.PP
.nf
          T is COMPLEX*16 array, dimension (LDT,K)
          The upper triangular factors of the block reflectors
          as returned by ZTPLQT, stored as a MB-by-K matrix\&.
.fi
.PP
.br
\fILDT\fP 
.PP
.nf
          LDT is INTEGER
          The leading dimension of the array T\&.  LDT >= MB\&.
.fi
.PP
.br
\fIA\fP 
.PP
.nf
          A is COMPLEX*16 array, dimension
          (LDA,N) if SIDE = 'L' or
          (LDA,K) if SIDE = 'R'
          On entry, the K-by-N or M-by-K matrix A\&.
          On exit, A is overwritten by the corresponding block of
          Q*C or Q**H*C or C*Q or C*Q**H\&.  See Further Details\&.
.fi
.PP
.br
\fILDA\fP 
.PP
.nf
          LDA is INTEGER
          The leading dimension of the array A\&.
          If SIDE = 'L', LDA >= max(1,K);
          If SIDE = 'R', LDA >= max(1,M)\&.
.fi
.PP
.br
\fIB\fP 
.PP
.nf
          B is COMPLEX*16 array, dimension (LDB,N)
          On entry, the M-by-N matrix B\&.
          On exit, B is overwritten by the corresponding block of
          Q*C or Q**H*C or C*Q or C*Q**H\&.  See Further Details\&.
.fi
.PP
.br
\fILDB\fP 
.PP
.nf
          LDB is INTEGER
          The leading dimension of the array B\&.
          LDB >= max(1,M)\&.
.fi
.PP
.br
\fIWORK\fP 
.PP
.nf
          WORK is COMPLEX*16 array\&. The dimension of WORK is
           N*MB if SIDE = 'L', or  M*MB if SIDE = 'R'\&.
.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
\fBFurther Details:\fP
.RS 4

.PP
.nf
  The columns of the pentagonal matrix V contain the elementary reflectors
  H(1), H(2), \&.\&.\&., H(K); V is composed of a rectangular block V1 and a
  trapezoidal block V2:

        V = [V1] [V2]\&.


  The size of the trapezoidal block V2 is determined by the parameter L,
  where 0 <= L <= K; V2 is lower trapezoidal, consisting of the first L
  rows of a K-by-K upper triangular matrix\&.  If L=K, V2 is lower triangular;
  if L=0, there is no trapezoidal block, hence V = V1 is rectangular\&.

  If SIDE = 'L':  C = [A]  where A is K-by-N,  B is M-by-N and V is K-by-M\&.
                      [B]

  If SIDE = 'R':  C = [A B]  where A is M-by-K, B is M-by-N and V is K-by-N\&.

  The complex unitary matrix Q is formed from V and T\&.

  If TRANS='N' and SIDE='L', C is on exit replaced with Q * C\&.

  If TRANS='C' and SIDE='L', C is on exit replaced with Q**H * C\&.

  If TRANS='N' and SIDE='R', C is on exit replaced with C * Q\&.

  If TRANS='C' and SIDE='R', C is on exit replaced with C * Q**H\&.
.fi
.PP
 
.RE
.PP

.PP
Definition at line \fB212\fP of file \fBztpmlqt\&.f\fP\&.
.SH "Author"
.PP 
Generated automatically by Doxygen for LAPACK from the source code\&.