csytri2 - compute the inverse of a COMPLEX symmetric indefinite matrix A using the factorization A = U*D*U**T or A = L*D*L**T computed by CSYTRF
SUBROUTINE CSYTRI2(UPLO, N, A, LDA, IPIV, WORK, LWORK, INFO) CHARACTER*1 UPLO INTEGER INFO, LDA, LWORK, N INTEGER IPIV(*) COMPLEX A(LDA,*), WORK(*) SUBROUTINE CSYTRI2_64(UPLO, N, A, LDA, IPIV, WORK, LWORK, INFO) CHARACTER*1 UPLO INTEGER*8 INFO, LDA, LWORK, N INTEGER*8 IPIV(*) COMPLEX A(LDA,*), WORK(*) F95 INTERFACE SUBROUTINE SYTRI2(UPLO, N, A, LDA, IPIV, WORK, LWORK, INFO) INTEGER :: N, LDA, LWORK, INFO CHARACTER(LEN=1) :: UPLO INTEGER, DIMENSION(:) :: IPIV COMPLEX, DIMENSION(:,:) :: A COMPLEX, DIMENSION(:) :: WORK SUBROUTINE SYTRI2_64(UPLO, N, A, LDA, IPIV, WORK, LWORK, INFO) INTEGER(8) :: N, LDA, LWORK, INFO CHARACTER(LEN=1) :: UPLO INTEGER(8), DIMENSION(:) :: IPIV COMPLEX, DIMENSION(:,:) :: A COMPLEX, DIMENSION(:) :: WORK C INTERFACE #include <sunperf.h> void csytri2 (char uplo, int n, floatcomplex *a, int lda, int *ipiv, int *info); void csytri2_64 (char uplo, long n, floatcomplex *a, long lda, long *ipiv, long *info);
Oracle Solaris Studio Performance Library csytri2(3P) NAME csytri2 - compute the inverse of a COMPLEX symmetric indefinite matrix A using the factorization A = U*D*U**T or A = L*D*L**T computed by CSYTRF SYNOPSIS SUBROUTINE CSYTRI2(UPLO, N, A, LDA, IPIV, WORK, LWORK, INFO) CHARACTER*1 UPLO INTEGER INFO, LDA, LWORK, N INTEGER IPIV(*) COMPLEX A(LDA,*), WORK(*) SUBROUTINE CSYTRI2_64(UPLO, N, A, LDA, IPIV, WORK, LWORK, INFO) CHARACTER*1 UPLO INTEGER*8 INFO, LDA, LWORK, N INTEGER*8 IPIV(*) COMPLEX A(LDA,*), WORK(*) F95 INTERFACE SUBROUTINE SYTRI2(UPLO, N, A, LDA, IPIV, WORK, LWORK, INFO) INTEGER :: N, LDA, LWORK, INFO CHARACTER(LEN=1) :: UPLO INTEGER, DIMENSION(:) :: IPIV COMPLEX, DIMENSION(:,:) :: A COMPLEX, DIMENSION(:) :: WORK SUBROUTINE SYTRI2_64(UPLO, N, A, LDA, IPIV, WORK, LWORK, INFO) INTEGER(8) :: N, LDA, LWORK, INFO CHARACTER(LEN=1) :: UPLO INTEGER(8), DIMENSION(:) :: IPIV COMPLEX, DIMENSION(:,:) :: A COMPLEX, DIMENSION(:) :: WORK C INTERFACE #include <sunperf.h> void csytri2 (char uplo, int n, floatcomplex *a, int lda, int *ipiv, int *info); void csytri2_64 (char uplo, long n, floatcomplex *a, long lda, long *ipiv, long *info); PURPOSE csytri2 computes the inverse of a COMPLEX symmetric indefinite matrix A using the factorization A = U*D*U**T or A = L*D*L**T computed by CSYTRF. CSYTRI2 sets the LEADING DIMENSION of the workspace before calling CSYTRI2X that actually computes the inverse. ARGUMENTS UPLO (input) UPLO is CHARACTER*1 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) N is INTEGER The order of the matrix A. N >= 0. A (input/output) A is COMPLEX array, dimension (LDA,N) On entry, the NB diagonal matrix D and the multipliers used to obtain the factor U or L as computed by CSYTRF. On exit, if INFO = 0, the (symmetric) inverse of the original matrix. If UPLO = 'U', the upper triangular part of the inverse is formed and the part of A below the diagonal is not referenced; if UPLO = 'L' the lower triangular part of the inverse is formed and the part of A above the diagonal is not referenced. LDA (input) LDA is INTEGER The leading dimension of the array A. LDA >= max(1,N). IPIV (input) IPIV is INTEGER array, dimension (N) Details of the interchanges and the NB structure of D as determined by CSYTRF. WORK (output) WORK is COMPLEX array, dimension (N+NB+1)*(NB+3) LWORK (input) LWORK is INTEGER The dimension of the array WORK. WORK is size >= (N+NB+1)*(NB+3) If LDWORK = -1, then a workspace query is assumed; the rou- tine calculates: - the optimal size of the WORK array, returns this value as the first entry of the WORK array, - and no error message related to LDWORK is issued by XERBLA. INFO (output) INFO is INTEGER = 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 csytri2(3P)