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

NAME
       SRC/dlarzb.f

SYNOPSIS
   Functions/Subroutines
       subroutine dlarzb (side, trans, direct, storev, m, n, k, l, v, ldv, t,
           ldt, c, ldc, work, ldwork)
           DLARZB applies a block reflector or its transpose to a general
           matrix.

Function/Subroutine Documentation
   subroutine dlarzb (character side, character trans, character direct,
       character storev, integer m, integer n, integer k, integer l, double
       precision, dimension( ldv, * ) v, integer ldv, double precision,
       dimension( ldt, * ) t, integer ldt, double precision, dimension( ldc, *
       ) c, integer ldc, double precision, dimension( ldwork, * ) work,
       integer ldwork)
       DLARZB applies a block reflector or its transpose to a general matrix.

       Purpose:


           !>
           !> DLARZB applies a real block reflector H or its transpose H**T to
           !> a real distributed M-by-N  C from the left or the right.
           !>
           !> Currently, only STOREV = 'R' and DIRECT = 'B' are supported.
           !>

       Parameters
           SIDE

           !>          SIDE is CHARACTER*1
           !>          = 'L': apply H or H**T from the Left
           !>          = 'R': apply H or H**T from the Right
           !>

           TRANS

           !>          TRANS is CHARACTER*1
           !>          = 'N': apply H (No transpose)
           !>          = 'C': apply H**T (Transpose)
           !>

           DIRECT

           !>          DIRECT is CHARACTER*1
           !>          Indicates how H is formed from a product of elementary
           !>          reflectors
           !>          = 'F': H = H(1) H(2) . . . H(k) (Forward, not supported yet)
           !>          = 'B': H = H(k) . . . H(2) H(1) (Backward)
           !>

           STOREV

           !>          STOREV is CHARACTER*1
           !>          Indicates how the vectors which define the elementary
           !>          reflectors are stored:
           !>          = 'C': Columnwise                        (not supported yet)
           !>          = 'R': Rowwise
           !>

           M

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

           N

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

           K

           !>          K is INTEGER
           !>          The order of the matrix T (= the number of elementary
           !>          reflectors whose product defines the block reflector).
           !>

           L

           !>          L is INTEGER
           !>          The number of columns of the matrix V containing the
           !>          meaningful part of the Householder reflectors.
           !>          If SIDE = 'L', M >= L >= 0, if SIDE = 'R', N >= L >= 0.
           !>

           V

           !>          V is DOUBLE PRECISION array, dimension (LDV,NV).
           !>          If STOREV = 'C', NV = K; if STOREV = 'R', NV = L.
           !>

           LDV

           !>          LDV is INTEGER
           !>          The leading dimension of the array V.
           !>          If STOREV = 'C', LDV >= L; if STOREV = 'R', LDV >= K.
           !>

           T

           !>          T is DOUBLE PRECISION array, dimension (LDT,K)
           !>          The triangular K-by-K matrix T in the representation of the
           !>          block reflector.
           !>

           LDT

           !>          LDT is INTEGER
           !>          The leading dimension of the array T. LDT >= K.
           !>

           C

           !>          C is DOUBLE PRECISION array, dimension (LDC,N)
           !>          On entry, the M-by-N matrix C.
           !>          On exit, C is overwritten by H*C or H**T*C or C*H or C*H**T.
           !>

           LDC

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

           WORK

           !>          WORK is DOUBLE PRECISION array, dimension (LDWORK,K)
           !>

           LDWORK

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

       Author
           Univ. of Tennessee


           Univ. of California Berkeley


           Univ. of Colorado Denver


           NAG Ltd.

       Contributors:
           A. Petitet, Computer Science Dept., Univ. of Tenn., Knoxville, USA

       Further Details:


           !>

       Definition at line 181 of file dlarzb.f.

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

LAPACK                          Version 3.12.0                 SRC/dlarzb.f(3)