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
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);
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)