dposv man page on Scientific

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DPOSV(1)	      LAPACK driver routine (version 3.2)	      DPOSV(1)

NAME
       DPOSV - computes 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, * )

PURPOSE
       DPOSV computes the solution to a real system of linear equations
	  A * X = B, where A is an N-by-N symmetric positive  definite	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 triangular
       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 contains 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 triangular 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 illegal 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.

 LAPACK driver routine (version 3November 2008			      DPOSV(1)
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