SRC/cunmtr.f(3)            Library Functions Manual            SRC/cunmtr.f(3)

NAME
       SRC/cunmtr.f

SYNOPSIS
   Functions/Subroutines
       subroutine cunmtr (side, uplo, trans, m, n, a, lda, tau, c, ldc, work,
           lwork, info)
           CUNMTR

Function/Subroutine Documentation
   subroutine cunmtr (character side, character uplo, character trans, integer
       m, integer n, complex, dimension( lda, * ) a, integer lda, complex,
       dimension( * ) tau, complex, dimension( ldc, * ) c, integer ldc,
       complex, dimension( * ) work, integer lwork, integer info)
       CUNMTR

       Purpose:


           !>
           !> CUNMTR 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
           !>
           !> where Q is a complex unitary matrix of order nq, with nq = m if
           !> SIDE = 'L' and nq = n if SIDE = 'R'. Q is defined as the product of
           !> nq-1 elementary reflectors, as returned by CHETRD:
           !>
           !> if UPLO = 'U', Q = H(nq-1) . . . H(2) H(1);
           !>
           !> if UPLO = 'L', Q = H(1) H(2) . . . H(nq-1).
           !>

       Parameters
           SIDE

           !>          SIDE is CHARACTER*1
           !>          = 'L': apply Q or Q**H from the Left;
           !>          = 'R': apply Q or Q**H from the Right.
           !>

           UPLO

           !>          UPLO is CHARACTER*1
           !>          = 'U': Upper triangle of A contains elementary reflectors
           !>                 from CHETRD;
           !>          = 'L': Lower triangle of A contains elementary reflectors
           !>                 from CHETRD.
           !>

           TRANS

           !>          TRANS is CHARACTER*1
           !>          = 'N':  No transpose, apply Q;
           !>          = 'C':  Conjugate transpose, apply Q**H.
           !>

           M

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

           N

           !>          N is INTEGER
           !>          The number of columns of the matrix C. N >= 0.
           !>

           A

           !>          A is COMPLEX array, dimension
           !>                               (LDA,M) if SIDE = 'L'
           !>                               (LDA,N) if SIDE = 'R'
           !>          The vectors which define the elementary reflectors, as
           !>          returned by CHETRD.
           !>

           LDA

           !>          LDA is INTEGER
           !>          The leading dimension of the array A.
           !>          LDA >= max(1,M) if SIDE = 'L'; LDA >= max(1,N) if SIDE = 'R'.
           !>

           TAU

           !>          TAU is COMPLEX array, dimension
           !>                               (M-1) if SIDE = 'L'
           !>                               (N-1) if SIDE = 'R'
           !>          TAU(i) must contain the scalar factor of the elementary
           !>          reflector H(i), as returned by CHETRD.
           !>

           C

           !>          C is COMPLEX 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.
           !>

           LDC

           !>          LDC is INTEGER
           !>          The leading dimension of the array C. LDC >= max(1,M).
           !>

           WORK

           !>          WORK is COMPLEX 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.
           !>          If SIDE = 'L', LWORK >= max(1,N);
           !>          if SIDE = 'R', LWORK >= max(1,M).
           !>          For optimum performance LWORK >= N*NB if SIDE = 'L', and
           !>          LWORK >=M*NB if SIDE = 'R', 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 had an illegal value
           !>

       Author
           Univ. of Tennessee


           Univ. of California Berkeley


           Univ. of Colorado Denver


           NAG Ltd.

       Definition at line 170 of file cunmtr.f.

Author
       Generated automatically by Doxygen for LAPACK from the source code.

LAPACK                          Version 3.12.0                 SRC/cunmtr.f(3)