Contents


NAME

     ssptri - compute the inverse of a real symmetric  indefinite
     matrix  A  in  packed  storage  using  the factorization A =
     U*D*U**T or A = L*D*L**T computed by SSPTRF

SYNOPSIS

     SUBROUTINE SSPTRI(UPLO, N, AP, IPIVOT, WORK, INFO)

     CHARACTER * 1 UPLO
     INTEGER N, INFO
     INTEGER IPIVOT(*)
     REAL AP(*), WORK(*)

     SUBROUTINE SSPTRI_64(UPLO, N, AP, IPIVOT, WORK, INFO)

     CHARACTER * 1 UPLO
     INTEGER*8 N, INFO
     INTEGER*8 IPIVOT(*)
     REAL AP(*), WORK(*)

  F95 INTERFACE
     SUBROUTINE SPTRI(UPLO, [N], AP, IPIVOT, [WORK], [INFO])

     CHARACTER(LEN=1) :: UPLO
     INTEGER :: N, INFO
     INTEGER, DIMENSION(:) :: IPIVOT
     REAL, DIMENSION(:) :: AP, WORK

     SUBROUTINE SPTRI_64(UPLO, [N], AP, IPIVOT, [WORK], [INFO])

     CHARACTER(LEN=1) :: UPLO
     INTEGER(8) :: N, INFO
     INTEGER(8), DIMENSION(:) :: IPIVOT
     REAL, DIMENSION(:) :: AP, WORK

  C INTERFACE
     #include <sunperf.h>

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

     void ssptri_64(char uplo, long n, float  *a,  long  *ipivot,
               long *info);

PURPOSE

     ssptri computes the inverse of a real  symmetric  indefinite
     matrix  A  in  packed  storage  using  the factorization A =
     U*D*U**T or A = L*D*L**T computed by SSPTRF.

ARGUMENTS

     UPLO (input)
               Specifies whether the details of the factorization
               are stored as an upper or lower triangular matrix.
               = 'U':  Upper triangular, form is A = U*D*U**T;
               = 'L':  Lower triangular, form is A = L*D*L**T.

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

     AP (input/output)
               Real array, dimension (N*(N+1)/2)  On  entry,  the
               block  diagonal  matrix D and the multipliers used
               to obtain the factor U or L as computed by SSPTRF,
               stored as a packed triangular matrix.

               On exit, if INFO = 0, the (symmetric)  inverse  of
               the original matrix, stored as a packed triangular
               matrix. The j-th column of inv(A) is stored in the
               array  AP  as  follows:  if UPLO = 'U', AP(i + (j-
               1)*j/2) = inv(A)(i,j) for 1<=i<=j; if UPLO =  'L',
               AP(i + (j-1)*(2n-j)/2) = inv(A)(i,j) for j<=i<=n.

     IPIVOT (input)
               Integer array, dimension (N) Details of the inter-
               changes and the block structure of D as determined
               by SSPTRF.

     WORK (workspace)
               Real array, dimension(N)

     INFO (output)
               = 0: successful exit
               < 0: if INFO = -i, the i-th argument had an  ille-
               gal value
               > 0: if INFO = i, D(i,i) = 0; the matrix is singu-
               lar and its inverse could not be computed.