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sgetrf (3)
  • >> sgetrf (3) ( Solaris man: Библиотечные вызовы )
  • 
    NAME
         sgetrf - compute an LU factorization  of  a  general  M-by-N
         matrix A using partial pivoting with row interchanges
    
    SYNOPSIS
         SUBROUTINE SGETRF( M, N, A, LDA, IPIV, INFO )
    
         INTEGER INFO, LDA, M, N
    
         INTEGER IPIV( * )
    
         REAL A( LDA, * )
    
    
    
         #include <sunperf.h>
    
         void sgetrf(int m, int n, float *sa, int lda,  int  *ipivot,
                   int *info) ;
    
    PURPOSE
         SGETRF computes an LU  factorization  of  a  general  M-by-N
         matrix A using partial pivoting with row interchanges.
    
         The factorization has the form
            A = P * L * U
         where P is a permutation matrix, L is lower triangular  with
         unit  diagonal  elements (lower trapezoidal if m > n), and U
         is upper triangular (upper trapezoidal if m < n).
    
         This is the right-looking Level 3 BLAS version of the  algo-
         rithm.
    
    
    ARGUMENTS
         M         (input) INTEGER
                   The number of rows of the matrix A.  M >= 0.
    
         N         (input) INTEGER
                   The number of columns of the matrix A.  N >= 0.
    
         A         (input/output) REAL array, dimension (LDA,N)
                   On entry, the M-by-N matrix to  be  factored.   On
                   exit, the factors L and U from the factorization A
                   = P*L*U; the unit diagonal elements of L  are  not
                   stored.
    
         LDA       (input) INTEGER
                   The leading dimension of  the  array  A.   LDA  >=
                   max(1,M).
    
         IPIV      (output) INTEGER array, dimension (min(M,N))
                   The pivot indices; for 1 <= i <= min(M,N),  row  i
                   of the matrix was interchanged with row IPIV(i).
    
         INFO      (output) INTEGER
                   = 0:  successful exit
                   < 0:  if INFO = -i, the i-th argument had an ille-
                   gal value
                   > 0:  if INFO = i, U(i,i)  is  exactly  zero.  The
                   factorization has been completed, but the factor U
                   is exactly singular, and  division  by  zero  will
                   occur  if  it  is  used to solve a system of equa-
                   tions.
    
    
    
    


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