dsytri2x - compute the inverse of a real symmetric indefinite matrix A using the factorization computed by DSYTRF
SUBROUTINE DSYTRI2X(UPLO, N, A, LDA, IPIV, WORK, NB, INFO) CHARACTER*1 UPLO INTEGER INFO, LDA, N, NB INTEGER IPIV(*) DOUBLE PRECISION A(LDA,*), WORK(N+NB+1,*) SUBROUTINE DSYTRI2X_64(UPLO, N, A, LDA, IPIV, WORK, NB, INFO) CHARACTER*1 UPLO INTEGER*8 INFO, LDA, N, NB INTEGER*8 IPIV(*) DOUBLE PRECISION A(LDA,*), WORK(N+NB+1,*) F95 INTERFACE SUBROUTINE SYTRI2X(UPLO, N, A, LDA, IPIV, WORK, NB, INFO) INTEGER :: N, LDA, NB, INFO CHARACTER(LEN=1) :: UPLO INTEGER, DIMENSION(:) :: IPIV REAL(8), DIMENSION(:,:) :: A REAL(8), DIMENSION(:) :: WORK SUBROUTINE SYTRI2X_64(UPLO, N, A, LDA, IPIV, WORK, NB, INFO) INTEGER(8) :: N, LDA, NB, INFO CHARACTER(LEN=1) :: UPLO INTEGER(8), DIMENSION(:) :: IPIV REAL(8), DIMENSION(:,:) :: A REAL(8), DIMENSION(:) :: WORK C INTERFACE #include <sunperf.h> void dsytri2x (char uplo, int n, double *a, int lda, int *ipiv, int nb, int *info); void dsytri2x_64 (char uplo, long n, double *a, long lda, long *ipiv, long nb, long *info);
Oracle Solaris Studio Performance Library dsytri2x(3P) NAME dsytri2x - compute the inverse of a real symmetric indefinite matrix A using the factorization computed by DSYTRF SYNOPSIS SUBROUTINE DSYTRI2X(UPLO, N, A, LDA, IPIV, WORK, NB, INFO) CHARACTER*1 UPLO INTEGER INFO, LDA, N, NB INTEGER IPIV(*) DOUBLE PRECISION A(LDA,*), WORK(N+NB+1,*) SUBROUTINE DSYTRI2X_64(UPLO, N, A, LDA, IPIV, WORK, NB, INFO) CHARACTER*1 UPLO INTEGER*8 INFO, LDA, N, NB INTEGER*8 IPIV(*) DOUBLE PRECISION A(LDA,*), WORK(N+NB+1,*) F95 INTERFACE SUBROUTINE SYTRI2X(UPLO, N, A, LDA, IPIV, WORK, NB, INFO) INTEGER :: N, LDA, NB, INFO CHARACTER(LEN=1) :: UPLO INTEGER, DIMENSION(:) :: IPIV REAL(8), DIMENSION(:,:) :: A REAL(8), DIMENSION(:) :: WORK SUBROUTINE SYTRI2X_64(UPLO, N, A, LDA, IPIV, WORK, NB, INFO) INTEGER(8) :: N, LDA, NB, INFO CHARACTER(LEN=1) :: UPLO INTEGER(8), DIMENSION(:) :: IPIV REAL(8), DIMENSION(:,:) :: A REAL(8), DIMENSION(:) :: WORK C INTERFACE #include <sunperf.h> void dsytri2x (char uplo, int n, double *a, int lda, int *ipiv, int nb, int *info); void dsytri2x_64 (char uplo, long n, double *a, long lda, long *ipiv, long nb, long *info); PURPOSE dsytri2x computes the inverse of a real symmetric indefinite matrix A using the factorization A = U*D*U**T or A = L*D*L**T computed by DSYTRF. 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 DOUBLE PRECISION array, dimension (LDA,N) On entry, the NNB diagonal matrix D and the multipliers used to obtain the factor U or L as computed by DSYTRF. 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 NNB structure of D as determined by DSYTRF. WORK (output) WORK is DOUBLE PRECISION array, dimension (N+NNB+1,NNB+3) NB (input) NB is INTEGER Block size 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 dsytri2x(3P)