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dlarzb(3P)		    Sun Performance Library		    dlarzb(3P)

NAME
       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

SYNOPSIS
       SUBROUTINE DLARZB(SIDE, TRANS, DIRECT, STOREV, M, N, K, L, V, LDV, T,
	     LDT, C, LDC, WORK, LDWORK)

       CHARACTER * 1 SIDE, TRANS, DIRECT, STOREV
       INTEGER M, N, K, L, LDV, LDT, LDC, LDWORK
       DOUBLE PRECISION V(LDV,*), T(LDT,*), C(LDC,*), WORK(LDWORK,*)

       SUBROUTINE DLARZB_64(SIDE, TRANS, DIRECT, STOREV, M, N, K, L, V, LDV,
	     T, LDT, C, LDC, WORK, LDWORK)

       CHARACTER * 1 SIDE, TRANS, DIRECT, STOREV
       INTEGER*8 M, N, K, L, LDV, LDT, LDC, LDWORK
       DOUBLE PRECISION V(LDV,*), T(LDT,*), C(LDC,*), WORK(LDWORK,*)

   F95 INTERFACE
       SUBROUTINE LARZB(SIDE, TRANS, DIRECT, STOREV, [M], [N], K, L, V, [LDV],
	      T, [LDT], C, [LDC], [WORK], [LDWORK])

       CHARACTER(LEN=1) :: SIDE, TRANS, DIRECT, STOREV
       INTEGER :: M, N, K, L, LDV, LDT, LDC, LDWORK
       REAL(8), DIMENSION(:,:) :: V, T, C, WORK

       SUBROUTINE LARZB_64(SIDE, TRANS, DIRECT, STOREV, [M], [N], K, L, V,
	      [LDV], T, [LDT], C, [LDC], [WORK], [LDWORK])

       CHARACTER(LEN=1) :: SIDE, TRANS, DIRECT, STOREV
       INTEGER(8) :: M, N, K, L, LDV, LDT, LDC, LDWORK
       REAL(8), DIMENSION(:,:) :: V, T, C, WORK

   C INTERFACE
       #include <sunperf.h>

       void dlarzb(char side, char trans, char direct, char storev, int m, int
		 n, int k, int l, double *v, int ldv, double *t, int ldt, dou‐
		 ble *c, int ldc, int ldwork);

       void dlarzb_64(char side, char trans, char direct, char storev, long m,
		 long  n, long k, long l, double *v, long ldv, double *t, long
		 ldt, double *c, long ldc, long ldwork);

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.

ARGUMENTS
       SIDE (input)
		 = 'L': apply H or H' from the Left
		 = 'R': apply H or H' from the Right

       TRANS (input)
		 = 'N': apply H (No transpose)
		 = 'C': apply H' (Transpose)

       DIRECT (input)
		 Indicates  how	 H  is	formed	from  a	 product of elementary
		 reflectors = 'F': H = H(1) H(2) . . . H(k) (Forward, not sup‐
		 ported yet)
		 = 'B': H = H(k) . . . H(2) H(1) (Backward)

       STOREV (input)
		 Indicates how the vectors which define the elementary reflec‐
		 tors are stored:
		 = 'C': Columnwise			  (not supported yet)
		 = 'R': Rowwise

       M (input) The number of rows of the matrix C.

       N (input) The number of columns of the matrix C.

       K (input) The order of the matrix T (= the number of elementary reflec‐
		 tors whose product defines the block reflector).

       L (input) The number of columns of the matrix V containing the meaning‐
		 ful part of the Householder reflectors.  If SIDE = 'L', M  >=
		 L >= 0, if SIDE = 'R', N >= L >= 0.

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

       LDV (input)
		 The leading dimension of the array V.	If STOREV =  'C',  LDV
		 >= L; if STOREV = 'R', LDV >= K.

       T (input) The  triangular  K-by-K matrix T in the representation of the
		 block reflector.

       LDT (input)
		 The leading dimension of the array T. LDT >= K.

       C (input/output)
		 On entry, the M-by-N matrix C.	 On exit, C is overwritten  by
		 H*C or H'*C or C*H or C*H'.

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

       WORK (workspace)
		 dimension(MAX(M,N),K)

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

FURTHER DETAILS
       Based on contributions by
	 A. Petitet, Computer Science Dept., Univ. of Tenn., Knoxville, USA

				  6 Mar 2009			    dlarzb(3P)
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