slarzb.f.html

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      SUBROUTINE <a name="SLARZB.1"></a><a href="slarzb.f.html#SLARZB.1">SLARZB</a>( SIDE, TRANS, DIRECT, STOREV, M, N, K, L, V,
     $                   LDV, T, LDT, C, LDC, WORK, LDWORK )
<span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">  -- LAPACK routine (version 3.1) --
</span><span class="comment">*</span><span class="comment">     Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd..
</span><span class="comment">*</span><span class="comment">     November 2006
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">     .. Scalar Arguments ..
</span>      CHARACTER          DIRECT, SIDE, STOREV, TRANS
      INTEGER            K, L, LDC, LDT, LDV, LDWORK, M, N
<span class="comment">*</span><span class="comment">     ..
</span><span class="comment">*</span><span class="comment">     .. Array Arguments ..
</span>      REAL               C( LDC, * ), T( LDT, * ), V( LDV, * ),
     $                   WORK( LDWORK, * )
<span class="comment">*</span><span class="comment">     ..
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">  Purpose
</span><span class="comment">*</span><span class="comment">  =======
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">  <a name="SLARZB.20"></a><a href="slarzb.f.html#SLARZB.1">SLARZB</a> applies a real block reflector H or its transpose H**T to
</span><span class="comment">*</span><span class="comment">  a real distributed M-by-N  C from the left or the right.
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">  Currently, only STOREV = 'R' and DIRECT = 'B' are supported.
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">  Arguments
</span><span class="comment">*</span><span class="comment">  =========
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">  SIDE    (input) CHARACTER*1
</span><span class="comment">*</span><span class="comment">          = 'L': apply H or H' from the Left
</span><span class="comment">*</span><span class="comment">          = 'R': apply H or H' from the Right
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">  TRANS   (input) CHARACTER*1
</span><span class="comment">*</span><span class="comment">          = 'N': apply H (No transpose)
</span><span class="comment">*</span><span class="comment">          = 'C': apply H' (Transpose)
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">  DIRECT  (input) CHARACTER*1
</span><span class="comment">*</span><span class="comment">          Indicates how H is formed from a product of elementary
</span><span class="comment">*</span><span class="comment">          reflectors
</span><span class="comment">*</span><span class="comment">          = 'F': H = H(1) H(2) . . . H(k) (Forward, not supported yet)
</span><span class="comment">*</span><span class="comment">          = 'B': H = H(k) . . . H(2) H(1) (Backward)
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">  STOREV  (input) CHARACTER*1
</span><span class="comment">*</span><span class="comment">          Indicates how the vectors which define the elementary
</span><span class="comment">*</span><span class="comment">          reflectors are stored:
</span><span class="comment">*</span><span class="comment">          = 'C': Columnwise                        (not supported yet)
</span><span class="comment">*</span><span class="comment">          = 'R': Rowwise
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">  M       (input) INTEGER
</span><span class="comment">*</span><span class="comment">          The number of rows of the matrix C.
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">  N       (input) INTEGER
</span><span class="comment">*</span><span class="comment">          The number of columns of the matrix C.
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">  K       (input) INTEGER
</span><span class="comment">*</span><span class="comment">          The order of the matrix T (= the number of elementary
</span><span class="comment">*</span><span class="comment">          reflectors whose product defines the block reflector).
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">  L       (input) INTEGER
</span><span class="comment">*</span><span class="comment">          The number of columns of the matrix V containing the
</span><span class="comment">*</span><span class="comment">          meaningful part of the Householder reflectors.
</span><span class="comment">*</span><span class="comment">          If SIDE = 'L', M &gt;= L &gt;= 0, if SIDE = 'R', N &gt;= L &gt;= 0.
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">  V       (input) REAL array, dimension (LDV,NV).
</span><span class="comment">*</span><span class="comment">          If STOREV = 'C', NV = K; if STOREV = 'R', NV = L.
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">  LDV     (input) INTEGER
</span><span class="comment">*</span><span class="comment">          The leading dimension of the array V.
</span><span class="comment">*</span><span class="comment">          If STOREV = 'C', LDV &gt;= L; if STOREV = 'R', LDV &gt;= K.
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">  T       (input) REAL array, dimension (LDT,K)
</span><span class="comment">*</span><span class="comment">          The triangular K-by-K matrix T in the representation of the
</span><span class="comment">*</span><span class="comment">          block reflector.
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">  LDT     (input) INTEGER
</span><span class="comment">*</span><span class="comment">          The leading dimension of the array T. LDT &gt;= K.
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">  C       (input/output) REAL array, dimension (LDC,N)
</span><span class="comment">*</span><span class="comment">          On entry, the M-by-N matrix C.
</span><span class="comment">*</span><span class="comment">          On exit, C is overwritten by H*C or H'*C or C*H or C*H'.
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">  LDC     (input) INTEGER
</span><span class="comment">*</span><span class="comment">          The leading dimension of the array C. LDC &gt;= max(1,M).
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">  WORK    (workspace) REAL array, dimension (LDWORK,K)
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">  LDWORK  (input) INTEGER
</span><span class="comment">*</span><span class="comment">          The leading dimension of the array WORK.
</span><span class="comment">*</span><span class="comment">          If SIDE = 'L', LDWORK &gt;= max(1,N);
</span><span class="comment">*</span><span class="comment">          if SIDE = 'R', LDWORK &gt;= max(1,M).
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">  Further Details
</span><span class="comment">*</span><span class="comment">  ===============
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">  Based on contributions by
</span><span class="comment">*</span><span class="comment">    A. Petitet, Computer Science Dept., Univ. of Tenn., Knoxville, USA
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">  =====================================================================
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">     .. Parameters ..
</span>      REAL               ONE
      PARAMETER          ( ONE = 1.0E+0 )
<span class="comment">*</span><span class="comment">     ..
</span><span class="comment">*</span><span class="comment">     .. Local Scalars ..
</span>      CHARACTER          TRANST
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