Contents


NAME

     spptri - compute the inverse of a  real  symmetric  positive
     definite  matrix  A  using  the  Cholesky  factorization A =
     U**T*U or A = L*L**T computed by SPPTRF

SYNOPSIS

     SUBROUTINE SPPTRI(UPLO, N, A, INFO)

     CHARACTER * 1 UPLO
     INTEGER N, INFO
     REAL A(*)

     SUBROUTINE SPPTRI_64(UPLO, N, A, INFO)

     CHARACTER * 1 UPLO
     INTEGER*8 N, INFO
     REAL A(*)

  F95 INTERFACE
     SUBROUTINE PPTRI(UPLO, [N], A, [INFO])

     CHARACTER(LEN=1) :: UPLO
     INTEGER :: N, INFO
     REAL, DIMENSION(:) :: A

     SUBROUTINE PPTRI_64(UPLO, [N], A, [INFO])

     CHARACTER(LEN=1) :: UPLO
     INTEGER(8) :: N, INFO
     REAL, DIMENSION(:) :: A

  C INTERFACE
     #include <sunperf.h>

     void spptri(char uplo, int n, float *a, int *info);

     void spptri_64(char uplo, long n, float *a, long *info);

PURPOSE

     spptri computes the inverse of  a  real  symmetric  positive
     definite  matrix  A  using  the  Cholesky  factorization A =
     U**T*U or A = L*L**T computed by SPPTRF.

ARGUMENTS

     UPLO (input)
               = 'U':  Upper triangular factor is stored in A;
               = 'L':  Lower triangular factor is stored in A.

     N (input) The order of the matrix A.  N >= 0.

     A (input/output) REAL array, dimension (N*(N+1)/2)
               On entry, the triangular factor U or  L  from  the
               Cholesky  factorization  A = U**T*U or A = L*L**T,
               packed columnwise as a  linear  array.   The  j-th
               column  of U or L is stored in the array A as fol-
               lows:  if UPLO = 'U', A(i +  (j-1)*j/2)  =  U(i,j)
               for  1<=i<=j; if UPLO = 'L', A(i + (j-1)*(2n-j)/2)
               = L(i,j) for j<=i<=n.

               On exit, the upper or lower triangle of the  (sym-
               metric) inverse of A, overwriting the input factor
               U or L.

     INFO (output)
               = 0:  successful exit
               < 0:  if INFO = -i, the i-th argument had an ille-
               gal value
               > 0:  if INFO = i, the (i,i) element of the factor
               U  or L is zero, and the inverse could not be com-
               puted.