 
      SUBROUTINE SPOSL(A,LDA,N,B)
C***BEGIN PROLOGUE  SPOSL
C***DATE WRITTEN   780814   (YYMMDD)
C***REVISION DATE  820801   (YYMMDD)
C***CATEGORY NO.  D2B1B
C***KEYWORDS  LINEAR ALGEBRA,LINPACK,MATRIX,POSITIVE DEFINITE,SOLVE
C***AUTHOR  MOLER, C. B., (U. OF NEW MEXICO)
C***PURPOSE  Solves the real SYMMETRIC POSITIVE DEFINITE system A*X=B
C            using the factors computed by SPOCO or SPOFA.
C***DESCRIPTION
C
C     SPOSL solves the real symmetric positive definite system
C     A * X = B
C     using the factors computed by SPOCO or SPOFA.
C
C     On Entry
C
C        A       REAL(LDA, N)
C                the output from SPOCO or SPOFA.
C
C        LDA     INTEGER
C                the leading dimension of the array  A .
C
C        N       INTEGER
C                the order of the matrix  A .
C
C        B       REAL(N)
C                the right hand side vector.
C
C     On Return
C
C        B       the solution vector  X .
C
C     Error Condition
C
C        A division by zero will occur if the input factor contains
C        a zero on the diagonal.  Technically, this indicates
C        singularity, but it is usually caused by improper subroutine
C        arguments.  It will not occur if the subroutines are called
C        correctly and  INFO .EQ. 0 .
C
C     To compute  INVERSE(A) * C  where  C  is a matrix
C     with  P  columns
C           CALL SPOCO(A,LDA,N,RCOND,Z,INFO)
C           IF (RCOND is too small .OR. INFO .NE. 0) GO TO ...
C           DO 10 J = 1, P
C              CALL SPOSL(A,LDA,N,C(1,J))
C        10 CONTINUE
C
C     LINPACK.  This version dated 08/14/78 .
C     Cleve Moler, University of New Mexico, Argonne National Lab.
C
C     Subroutines and Functions
C
C     BLAS SAXPY,SDOT
C***REFERENCES  DONGARRA J.J., BUNCH J.R., MOLER C.B., STEWART G.W.,
C                 *LINPACK USERS  GUIDE*, SIAM, 1979.
C***ROUTINES CALLED  SAXPY,SDOT
C***END PROLOGUE  SPOSL
 
 
