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  com­
               puted 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 ille­
               gal value


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