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zlatzm (3)
  • >> zlatzm (3) ( Solaris man: Библиотечные вызовы )
  • 
    NAME
         zlatzm - apply a Householder matrix generated by ZTZRQF to a
         matrix
    
    SYNOPSIS
         SUBROUTINE ZLATZM( SIDE, M, N, V, INCV, TAU,  C1,  C2,  LDC,
                   WORK )
    
         CHARACTER SIDE
    
         INTEGER INCV, LDC, M, N
    
         COMPLEX*16 TAU
    
         COMPLEX*16 C1( LDC, * ), C2( LDC, * ), V( * ), WORK( * )
    
    
    
         #include <sunperf.h>
    
         void zlatzm(char side, int m, int n, doublecomplex  *v,  int
                   incv, doublecomplex *tau, doublecomplex *c1, doub-
                   lecomplex *c2, int ldc) ;
    
    PURPOSE
         ZLATZM applies a Householder matrix generated by ZTZRQF to a
         matrix.
    
         Let P = I - tau*u*u',   u = ( 1 ),
                                     ( v )
         where v is an (m-1) vector if SIDE = 'L', or a (n-1)  vector
         if SIDE = 'R'.
    
         If SIDE equals 'L', let
                C = [ C1 ] 1
                    [ C2 ] m-1
                      n
         Then C is overwritten by P*C.
    
         If SIDE equals 'R', let
                C = [ C1, C2 ] m
                       1  n-1
         Then C is overwritten by C*P.
    
    
    ARGUMENTS
         SIDE      (input) CHARACTER*1
                   = 'L': form P * C
                   = 'R': form C * P
    
         M         (input) INTEGER
                   The number of rows of the matrix C.
    
         N         (input) INTEGER
                   The number of columns of the matrix C.
    
         V         (input) COMPLEX*16 array, dimension
                   (1 + (M-1)*abs(INCV)) if  SIDE  =  'L'  (1  +  (N-
                   1)*abs(INCV))  if  SIDE  = 'R' The vector v in the
                   representation of P. V is not used if TAU = 0.
    
         INCV      (input) INTEGER
                   The increment between elements of v. INCV <> 0
    
         TAU       (input) COMPLEX*16
                   The value tau in the representation of P.
    
         C1        (input/output) COMPLEX*16 array, dimension
                   (LDC,N) if SIDE = 'L' (M,1)   if  SIDE  =  'R'  On
                   entry,  the  n-vector  C1 if SIDE = 'L', or the m-
                   vector C1 if SIDE = 'R'.
    
                   On exit, the first row of P*C if SIDE  =  'L',  or
                   the first column of C*P if SIDE = 'R'.
    
         C2        (input/output) COMPLEX*16 array, dimension
                   (LDC, N)   if SIDE = 'L' (LDC, N-1) if SIDE =  'R'
                   On entry, the (m - 1) x n matrix C2 if SIDE = 'L',
                   or the m x (n - 1) matrix C2 if SIDE = 'R'.
    
                   On exit, rows 2:m of P*C if SIDE = 'L', or columns
                   2:m of C*P if SIDE = 'R'.
    
         LDC       (input) INTEGER
                   The leading dimension of the  arrays  C1  and  C2.
                   LDC >= max(1,M).
    
         WORK      (workspace) COMPLEX*16 array, dimension
                   (N) if SIDE = 'L' (M) if SIDE = 'R'
    
    
    
    


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