zsptri (3p)

Name

zsptri - 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 ZSPTRF

Synopsis

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

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

SUBROUTINE ZSPTRI_64(UPLO, N, AP, IPIVOT, WORK, INFO)

CHARACTER*1 UPLO
DOUBLE 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(8), DIMENSION(:) :: AP, WORK
INTEGER :: N, INFO
INTEGER, DIMENSION(:) :: IPIVOT

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

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




C INTERFACE
#include <sunperf.h>

void  zsptri(char  uplo,  int  n,  doublecomplex  *ap, int *ipivot, int
*info);

void zsptri_64(char uplo, long n, doublecomplex *ap, long *ipivot, long
*info);

Description

Oracle Solaris Studio Performance Library                           zsptri(3P)



NAME
       zsptri - 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 ZSPTRF


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

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

       SUBROUTINE ZSPTRI_64(UPLO, N, AP, IPIVOT, WORK, INFO)

       CHARACTER*1 UPLO
       DOUBLE 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(8), DIMENSION(:) :: AP, WORK
       INTEGER :: N, INFO
       INTEGER, DIMENSION(:) :: IPIVOT

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

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




   C INTERFACE
       #include <sunperf.h>

       void  zsptri(char  uplo,  int  n,  doublecomplex  *ap, int *ipivot, int
                 *info);

       void zsptri_64(char uplo, long n, doublecomplex *ap, long *ipivot, long
                 *info);



PURPOSE
       zsptri  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 ZSPTRF.


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)
                 Double  complex  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 ZSPTRF, 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 interchanges  and
                 the block structure of D as determined by ZSPTRF.


       WORK (workspace)
                 Double 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                        zsptri(3P)