NAME

       slarzb.f -

SYNOPSIS

   Functions/Subroutines
       subroutine slarzb (SIDE, TRANS, DIRECT, STOREV, M, N, K, L, V, LDV, T, LDT, C, LDC, WORK,
           LDWORK)
           SLARZB applies a block reflector or its transpose to a general matrix.

Function/Subroutine Documentation

   subroutine slarzb (characterSIDE, characterTRANS, characterDIRECT, characterSTOREV, integerM,
       integerN, integerK, integerL, real, dimension( ldv, * )V, integerLDV, real, dimension(
       ldt, * )T, integerLDT, real, dimension( ldc, * )C, integerLDC, real, dimension( ldwork, *
       )WORK, integerLDWORK)
       SLARZB applies a block reflector or its transpose to a general matrix.

       Purpose:

            SLARZB 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 REAL 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 REAL 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 REAL 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 REAL 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.

       Date:
           September 2012

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

       Further Details:

       Definition at line 183 of file slarzb.f.

Author

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