ztrcon - lar matrix A, in either the 1-norm or the infinity-norm
SUBROUTINE ZTRCON(NORM, UPLO, DIAG, N, A, LDA, RCOND, WORK, WORK2, INFO) CHARACTER*1 NORM, UPLO, DIAG DOUBLE COMPLEX A(LDA,*), WORK(*) INTEGER N, LDA, INFO DOUBLE PRECISION RCOND DOUBLE PRECISION WORK2(*) SUBROUTINE ZTRCON_64(NORM, UPLO, DIAG, N, A, LDA, RCOND, WORK, WORK2, INFO) CHARACTER*1 NORM, UPLO, DIAG DOUBLE COMPLEX A(LDA,*), WORK(*) INTEGER*8 N, LDA, INFO DOUBLE PRECISION RCOND DOUBLE PRECISION WORK2(*) F95 INTERFACE SUBROUTINE TRCON(NORM, UPLO, DIAG, N, A, LDA, RCOND, WORK, WORK2, INFO) CHARACTER(LEN=1) :: NORM, UPLO, DIAG COMPLEX(8), DIMENSION(:) :: WORK COMPLEX(8), DIMENSION(:,:) :: A INTEGER :: N, LDA, INFO REAL(8) :: RCOND REAL(8), DIMENSION(:) :: WORK2 SUBROUTINE TRCON_64(NORM, UPLO, DIAG, N, A, LDA, RCOND, WORK, WORK2, INFO) CHARACTER(LEN=1) :: NORM, UPLO, DIAG COMPLEX(8), DIMENSION(:) :: WORK COMPLEX(8), DIMENSION(:,:) :: A INTEGER(8) :: N, LDA, INFO REAL(8) :: RCOND REAL(8), DIMENSION(:) :: WORK2 C INTERFACE #include <sunperf.h> void ztrcon(char norm, char uplo, char diag, int n, doublecomplex *a, int lda, double *rcond, int *info); void ztrcon_64(char norm, char uplo, char diag, long n, doublecomplex *a, long lda, double *rcond, long *info);
Oracle Solaris Studio Performance Library ztrcon(3P) NAME ztrcon - estimate the reciprocal of the condition number of a triangu- lar matrix A, in either the 1-norm or the infinity-norm SYNOPSIS SUBROUTINE ZTRCON(NORM, UPLO, DIAG, N, A, LDA, RCOND, WORK, WORK2, INFO) CHARACTER*1 NORM, UPLO, DIAG DOUBLE COMPLEX A(LDA,*), WORK(*) INTEGER N, LDA, INFO DOUBLE PRECISION RCOND DOUBLE PRECISION WORK2(*) SUBROUTINE ZTRCON_64(NORM, UPLO, DIAG, N, A, LDA, RCOND, WORK, WORK2, INFO) CHARACTER*1 NORM, UPLO, DIAG DOUBLE COMPLEX A(LDA,*), WORK(*) INTEGER*8 N, LDA, INFO DOUBLE PRECISION RCOND DOUBLE PRECISION WORK2(*) F95 INTERFACE SUBROUTINE TRCON(NORM, UPLO, DIAG, N, A, LDA, RCOND, WORK, WORK2, INFO) CHARACTER(LEN=1) :: NORM, UPLO, DIAG COMPLEX(8), DIMENSION(:) :: WORK COMPLEX(8), DIMENSION(:,:) :: A INTEGER :: N, LDA, INFO REAL(8) :: RCOND REAL(8), DIMENSION(:) :: WORK2 SUBROUTINE TRCON_64(NORM, UPLO, DIAG, N, A, LDA, RCOND, WORK, WORK2, INFO) CHARACTER(LEN=1) :: NORM, UPLO, DIAG COMPLEX(8), DIMENSION(:) :: WORK COMPLEX(8), DIMENSION(:,:) :: A INTEGER(8) :: N, LDA, INFO REAL(8) :: RCOND REAL(8), DIMENSION(:) :: WORK2 C INTERFACE #include <sunperf.h> void ztrcon(char norm, char uplo, char diag, int n, doublecomplex *a, int lda, double *rcond, int *info); void ztrcon_64(char norm, char uplo, char diag, long n, doublecomplex *a, long lda, double *rcond, long *info); PURPOSE ztrcon estimates the reciprocal of the condition number of a triangular matrix A, in either the 1-norm or the infinity-norm. The norm of A is computed and an estimate is obtained for norm(inv(A)), then the reciprocal of the condition number is computed as RCOND = 1 / ( norm(A) * norm(inv(A)) ). ARGUMENTS NORM (input) Specifies whether the 1-norm condition number or the infin- ity-norm condition number is required: = '1' or 'O': 1-norm; = 'I': Infinity-norm. UPLO (input) = 'U': A is upper triangular; = 'L': A is lower triangular. DIAG (input) = 'N': A is non-unit triangular; = 'U': A is unit triangular. N (input) The order of the matrix A. N >= 0. A (input) The triangular matrix A. If UPLO = 'U', the leading N-by-N upper triangular part of the array A contains the upper tri- angular matrix, and the strictly lower triangular part of A is not referenced. If UPLO = 'L', the leading N-by-N lower triangular part of the array A contains the lower triangular matrix, and the strictly upper triangular part of A is not referenced. If DIAG = 'U', the diagonal elements of A are also not referenced and are assumed to be 1. LDA (input) The leading dimension of the array A. LDA >= max(1,N). RCOND (output) The reciprocal of the condition number of the matrix A, com- puted as RCOND = 1/(norm(A) * norm(inv(A))). WORK (workspace) dimension(2*N) WORK2 (workspace) dimension(N) INFO (output) = 0: successful exit; < 0: if INFO = -i, the i-th argument had an illegal value. 7 Nov 2015 ztrcon(3P)