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
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);
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)