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zungqr (3)
  • >> zungqr (3) ( Solaris man: Библиотечные вызовы )
  • 
    NAME
         zungqr - generate an M-by-N complex matrix Q with  orthonor-
         mal columns,
    
    SYNOPSIS
         SUBROUTINE ZUNGQR( M, N, K, A, LDA, TAU, WORK, LWORK, INFO )
    
         INTEGER INFO, K, LDA, LWORK, M, N
    
         COMPLEX*16 A( LDA, * ), TAU( * ), WORK( LWORK )
    
    
    
         #include <sunperf.h>
    
         void zungqr(int m, int n, int k, doublecomplex *za, int lda,
                   doublecomplex *tau, int *info) ;
    
    PURPOSE
         ZUNGQR generates an M-by-N complex matrix Q with orthonormal
         columns,  which  is defined as the first N columns of a pro-
         duct of K elementary reflectors of order M
    
               Q  =  H(1) H(2) . . . H(k)
    
         as returned by ZGEQRF.
    
    
    ARGUMENTS
         M         (input) INTEGER
                   The number of rows of the matrix Q. M >= 0.
    
         N         (input) INTEGER
                   The number of columns of the matrix Q. M >=  N  >=
                   0.
    
         K         (input) INTEGER
                   The number of elementary reflectors whose  product
                   defines the matrix Q. N >= K >= 0.
    
         A         (input/output) COMPLEX*16 array, dimension (LDA,N)
                   On entry, the i-th column must contain the  vector
                   which defines the elementary reflector H(i), for i
                   = 1,2,...,k, as returned by ZGEQRF in the first  k
                   columns  of its array argument A.  On exit, the M-
                   by-N matrix Q.
    
         LDA       (input) INTEGER
                   The  first  dimension  of  the  array  A.  LDA  >=
                   max(1,M).
    
         TAU       (input) COMPLEX*16 array, dimension (K)
                   TAU(i) must contain the scalar factor of the  ele-
                   mentary reflector H(i), as returned by ZGEQRF.
    
         WORK      (workspace/output)  COMPLEX*16  array,   dimension
                   (LWORK)
                   On exit, if INFO = 0, WORK(1) returns the  optimal
                   LWORK.
    
         LWORK     (input) INTEGER
                   The  dimension  of  the  array  WORK.   LWORK   >=
                   max(1,N).   For optimum performance LWORK >= N*NB,
                   where NB is the optimal blocksize.
    
         INFO      (output) INTEGER
                   = 0:  successful exit
                   < 0:  if INFO = -i, the i-th argument has an ille-
                   gal value
    
    
    
    


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