dsycon_rook - estimate the reciprocal of the condition number (in the 1-norm) of a real symmetric matrix using the factorization A = U*D*U**T or A = L*D*L**T computed by DSYTRF_ROOK
SUBROUTINE DSYCON_ROOK(UPLO, N, A, LDA, IPIV, ANORM, RCOND, WORK, IWORK, INFO) CHARACTER*1 UPLO INTEGER N, LDA, INFO INTEGER IPIV(*), IWORK(*) DOUBLE PRECISION ANORM, RCOND DOUBLE PRECISION A(LDA,*), WORK(*) SUBROUTINE DSYCON_ROOK_64(UPLO, N, A, LDA, IPIV, ANORM, RCOND, WORK, IWORK, INFO) CHARACTER*1 UPLO INTEGER*8 N, LDA, INFO INTEGER*8 IPIV(*), IWORK(*) DOUBLE PRECISION ANORM, RCOND DOUBLE PRECISION A(LDA,*), WORK(*) F95 INTERFACE SUBROUTINE SYCON_ROOK(UPLO, N, A, LDA, IPIV, ANORM, RCOND, WORK, IWORK, INFO) CHARACTER(LEN=1) :: UPLO INTEGER :: N, LDA, INFO INTEGER, DIMENSION(:) :: IPIV, IWORK REAL(8) :: ANORM, RCOND REAL(8), DIMENSION(:) :: WORK REAL(8), DIMENSION(:,:) :: A SUBROUTINE SYCON_ROOK_64(UPLO, N, A, LDA, IPIV, ANORM, RCOND, WORK, IWORK, INFO) CHARACTER(LEN=1) :: UPLO INTEGER(8) :: N, LDA, INFO INTEGER(8), DIMENSION(:) :: IPIV, IWORK REAL(8) :: ANORM, RCOND REAL(8), DIMENSION(:) :: WORK REAL(8), DIMENSION(:,:) :: A C INTERFACE #include <sunperf.h> void dsycon_rook(char uplo, int n, double *a, int lda, int *ipiv, dou- ble anorm, double *rcond, int *info); void dsycon_rook_64(char uplo, long n, double *a, long lda, long *ipiv, double anorm, double *rcond, long *info);
Oracle Solaris Studio Performance Library dsycon_rook(3P) NAME dsycon_rook - estimate the reciprocal of the condition number (in the 1-norm) of a real symmetric matrix using the factorization A = U*D*U**T or A = L*D*L**T computed by DSYTRF_ROOK SYNOPSIS SUBROUTINE DSYCON_ROOK(UPLO, N, A, LDA, IPIV, ANORM, RCOND, WORK, IWORK, INFO) CHARACTER*1 UPLO INTEGER N, LDA, INFO INTEGER IPIV(*), IWORK(*) DOUBLE PRECISION ANORM, RCOND DOUBLE PRECISION A(LDA,*), WORK(*) SUBROUTINE DSYCON_ROOK_64(UPLO, N, A, LDA, IPIV, ANORM, RCOND, WORK, IWORK, INFO) CHARACTER*1 UPLO INTEGER*8 N, LDA, INFO INTEGER*8 IPIV(*), IWORK(*) DOUBLE PRECISION ANORM, RCOND DOUBLE PRECISION A(LDA,*), WORK(*) F95 INTERFACE SUBROUTINE SYCON_ROOK(UPLO, N, A, LDA, IPIV, ANORM, RCOND, WORK, IWORK, INFO) CHARACTER(LEN=1) :: UPLO INTEGER :: N, LDA, INFO INTEGER, DIMENSION(:) :: IPIV, IWORK REAL(8) :: ANORM, RCOND REAL(8), DIMENSION(:) :: WORK REAL(8), DIMENSION(:,:) :: A SUBROUTINE SYCON_ROOK_64(UPLO, N, A, LDA, IPIV, ANORM, RCOND, WORK, IWORK, INFO) CHARACTER(LEN=1) :: UPLO INTEGER(8) :: N, LDA, INFO INTEGER(8), DIMENSION(:) :: IPIV, IWORK REAL(8) :: ANORM, RCOND REAL(8), DIMENSION(:) :: WORK REAL(8), DIMENSION(:,:) :: A C INTERFACE #include <sunperf.h> void dsycon_rook(char uplo, int n, double *a, int lda, int *ipiv, dou- ble anorm, double *rcond, int *info); void dsycon_rook_64(char uplo, long n, double *a, long lda, long *ipiv, double anorm, double *rcond, long *info); PURPOSE dsycon estimates the reciprocal of the condition number (in the 1-norm) of a real symmetric matrix A using the factorization A = U*D*U**T or A = L*D*L**T computed by DSYTRF_ROOK. An estimate is obtained for norm(inv(A)), and the reciprocal of the condition number is computed as RCOND = 1 / (ANORM * norm(inv(A))). 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. A (input) The block diagonal matrix D and the multipliers used to obtain the factor U or L as computed by DSYTRF_ROOK. LDA (input) The leading dimension of the array A. LDA >= max(1,N). IPIV (input) INTEGER array, dimension (N) Details of the interchanges and the block structure of D as determined by DSYTRF_ROOK. ANORM (input) The 1-norm of the original matrix A. RCOND (output) The reciprocal of the condition number of the matrix A, com- puted as RCOND = 1/(ANORM * AINVNM), where AINVNM is an esti- mate of the 1-norm of inv(A) computed in this routine. WORK (workspace) dimension(2*N) IWORK (workspace) INTEGER array, dimension (N) INFO (output) = 0: successful exit < 0: if INFO = -i, the i-th argument had an illegal value 7 Nov 2015 dsycon_rook(3P)