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dposv (3)
  • >> dposv (3) ( Solaris man: Библиотечные вызовы )
  • 
    NAME
         dposv - compute the solution to  a  real  system  of  linear
         equations  A * X = B,
    
    SYNOPSIS
         SUBROUTINE DPOSV( UPLO, N, NRHS, A, LDA, B, LDB, INFO )
    
         CHARACTER UPLO
    
         INTEGER INFO, LDA, LDB, N, NRHS
    
         DOUBLE PRECISION A( LDA, * ), B( LDB, * )
    
    
    
         #include <sunperf.h>
    
         void dposv(char uplo, int n, int nrhs, double *a,  int  lda,
                   double *db, int ldb, int *info) ;
    
    PURPOSE
         DPOSV computes the solution to a real system of linear equa-
         tions
            A * X = B, where A is an N-by-N symmetric positive defin-
         ite matrix and X and B are N-by-NRHS matrices.
    
         The Cholesky decomposition is used to factor A as
            A = U**T* U,  if UPLO = 'U', or
            A = L * L**T,  if UPLO = 'L',
         where U is an upper triangular matrix and L is a lower  tri-
         angular  matrix.   The  factored  form  of A is then used to
         solve the system of equations A * X = B.
    
    
    ARGUMENTS
         UPLO      (input) CHARACTER*1
                   = 'U':  Upper triangle of A is stored;
                   = 'L':  Lower triangle of A is stored.
    
         N         (input) INTEGER
                   The number of linear equations, i.e., the order of
                   the matrix A.  N >= 0.
    
         NRHS      (input) INTEGER
                   The number of right hand sides, i.e.,  the  number
                   of columns of the matrix B.  NRHS >= 0.
    
         A         (input/output) DOUBLE PRECISION  array,  dimension
                   (LDA,N)
                   On entry, the symmetric matrix A.  If UPLO =  'U',
                   the leading N-by-N upper triangular part of A con-
                   tains the upper triangular part of the  matrix  A,
                   and the strictly lower triangular part of A is not
                   referenced.  If UPLO =  'L',  the  leading  N-by-N
                   lower triangular part of A contains the lower tri-
                   angular part of the matrix  A,  and  the  strictly
                   upper triangular part of A is not referenced.
    
                   On exit, if INFO = 0, the factor U or L  from  the
                   Cholesky factorization A = U**T*U or A = L*L**T.
    
         LDA       (input) INTEGER
                   The leading dimension of  the  array  A.   LDA  >=
                   max(1,N).
    
         B         (input/output) DOUBLE PRECISION  array,  dimension
                   (LDB,NRHS)
                   On entry, the N-by-NRHS right hand side matrix  B.
                   On  exit,  if  INFO  =  0,  the N-by-NRHS solution
                   matrix X.
    
         LDB       (input) INTEGER
                   The leading dimension of  the  array  B.   LDB  >=
                   max(1,N).
    
         INFO      (output) INTEGER
                   = 0:  successful exit
                   < 0:  if INFO = -i, the i-th argument had an ille-
                   gal value
                   > 0:  if INFO = i, the leading minor of order i of
                   A  is  not positive definite, so the factorization
                   could not be completed, and the solution  has  not
                   been computed.
    
    
    
    


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