csptri (3p)

Name

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

Synopsis

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

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

SUBROUTINE CSPTRI_64(UPLO, N, AP, IPIVOT, WORK, INFO)

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




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

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

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

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




C INTERFACE
#include <sunperf.h>

void csptri(char uplo, int n, complex *ap, int *ipivot, int *info);

void  csptri_64(char  uplo,  long  n,  complex  *ap, long *ipivot, long
*info);

Description

Oracle Solaris Studio Performance Library                           csptri(3P)



NAME
       csptri - compute the inverse of a complex symmetric indefinite matrix A
       in packed storage using the factorization A = U*D*U**T or A =  L*D*L**T
       computed by CSPTRF


SYNOPSIS
       SUBROUTINE CSPTRI(UPLO, N, AP, IPIVOT, WORK, INFO)

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

       SUBROUTINE CSPTRI_64(UPLO, N, AP, IPIVOT, WORK, INFO)

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




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

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

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

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




   C INTERFACE
       #include <sunperf.h>

       void csptri(char uplo, int n, complex *ap, int *ipivot, int *info);

       void  csptri_64(char  uplo,  long  n,  complex  *ap, long *ipivot, long
                 *info);



PURPOSE
       csptri computes the inverse of a complex symmetric indefinite matrix  A
       in  packed storage using the factorization A = U*D*U**T or A = L*D*L**T
       computed by CSPTRF.


ARGUMENTS
       UPLO (input)
                 Specifies whether the details of the factorization are stored
                 as an upper or lower triangular matrix.  = 'U':  Upper trian-
                 gular, 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)
                 Complex array, dimension  (N*(N+1)/2)  On  entry,  the  block
                 diagonal matrix D and the multipliers used to obtain the fac-
                 tor U or L as computed by CSPTRF, stored as a packed triangu-
                 lar 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 interchanges and
                 the block structure of D as determined by CSPTRF.


       WORK (workspace)
                 Complex array, dimension (N)

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




                                  7 Nov 2015                        csptri(3P)