dpotrs(3F)

NAME
     DPOTRS - solve a system of linear equations A*X = B with a symmetric
     positive definite matrix A using the Cholesky factorization A = U**T*U or
     A = L*L**T computed by DPOTRF

SYNOPSIS
     SUBROUTINE DPOTRS( UPLO, N, NRHS, A, LDA, B, LDB, INFO )

         CHARACTER      UPLO

         INTEGER        INFO, LDA, LDB, N, NRHS

         DOUBLE         PRECISION A( LDA, * ), B( LDB, * )

PURPOSE
     DPOTRS solves a system of linear equations A*X = B with a symmetric
     positive definite matrix A using the Cholesky factorization A = U**T*U or
     A = L*L**T computed by DPOTRF.


ARGUMENTS
     UPLO    (input) CHARACTER*1
             = 'U':  Upper triangle of A is stored;
             = 'L':  Lower triangle of A is stored.

     N       (input) INTEGER
             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) DOUBLE PRECISION array, dimension (LDA,N)
             The triangular factor U or L from the Cholesky factorization A =
             U**T*U or A = L*L**T, as computed by DPOTRF.

     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 right hand side matrix B.  On exit, the 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