ctpcon - estimate the reciprocal of the condition number of a packed triangular matrix A, in either the 1-norm or the infinity-norm
SUBROUTINE CTPCON(NORM, UPLO, DIAG, N, A, RCOND, WORK, WORK2, INFO) CHARACTER*1 NORM, UPLO, DIAG COMPLEX A(*), WORK(*) INTEGER N, INFO REAL RCOND REAL WORK2(*) SUBROUTINE CTPCON_64(NORM, UPLO, DIAG, N, A, RCOND, WORK, WORK2, INFO) CHARACTER*1 NORM, UPLO, DIAG COMPLEX A(*), WORK(*) INTEGER*8 N, INFO REAL RCOND REAL WORK2(*) F95 INTERFACE SUBROUTINE TPCON(NORM, UPLO, DIAG, N, A, RCOND, WORK, WORK2, INFO) CHARACTER(LEN=1) :: NORM, UPLO, DIAG COMPLEX, DIMENSION(:) :: A, WORK INTEGER :: N, INFO REAL :: RCOND REAL, DIMENSION(:) :: WORK2 SUBROUTINE TPCON_64(NORM, UPLO, DIAG, N, A, RCOND, WORK, WORK2, INFO) CHARACTER(LEN=1) :: NORM, UPLO, DIAG COMPLEX, DIMENSION(:) :: A, WORK INTEGER(8) :: N, INFO REAL :: RCOND REAL, DIMENSION(:) :: WORK2 C INTERFACE #include <sunperf.h> void ctpcon(char norm, char uplo, char diag, int n, complex *a, float *rcond, int *info); void ctpcon_64(char norm, char uplo, char diag, long n, complex *a, float *rcond, long *info);
Oracle Solaris Studio Performance Library ctpcon(3P) NAME ctpcon - estimate the reciprocal of the condition number of a packed triangular matrix A, in either the 1-norm or the infinity-norm SYNOPSIS SUBROUTINE CTPCON(NORM, UPLO, DIAG, N, A, RCOND, WORK, WORK2, INFO) CHARACTER*1 NORM, UPLO, DIAG COMPLEX A(*), WORK(*) INTEGER N, INFO REAL RCOND REAL WORK2(*) SUBROUTINE CTPCON_64(NORM, UPLO, DIAG, N, A, RCOND, WORK, WORK2, INFO) CHARACTER*1 NORM, UPLO, DIAG COMPLEX A(*), WORK(*) INTEGER*8 N, INFO REAL RCOND REAL WORK2(*) F95 INTERFACE SUBROUTINE TPCON(NORM, UPLO, DIAG, N, A, RCOND, WORK, WORK2, INFO) CHARACTER(LEN=1) :: NORM, UPLO, DIAG COMPLEX, DIMENSION(:) :: A, WORK INTEGER :: N, INFO REAL :: RCOND REAL, DIMENSION(:) :: WORK2 SUBROUTINE TPCON_64(NORM, UPLO, DIAG, N, A, RCOND, WORK, WORK2, INFO) CHARACTER(LEN=1) :: NORM, UPLO, DIAG COMPLEX, DIMENSION(:) :: A, WORK INTEGER(8) :: N, INFO REAL :: RCOND REAL, DIMENSION(:) :: WORK2 C INTERFACE #include <sunperf.h> void ctpcon(char norm, char uplo, char diag, int n, complex *a, float *rcond, int *info); void ctpcon_64(char norm, char uplo, char diag, long n, complex *a, float *rcond, long *info); PURPOSE ctpcon estimates the reciprocal of the condition number of a packed 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) COMPLEX array, dimension (N*(N+1)/2) The upper or lower triangular matrix A, packed columnwise in a linear array. The j-th column of A is stored in the array A as follows: if UPLO = 'U', A(i + (j-1)*j/2) = A(i,j) for 1<=i<=j; if UPLO = 'L', A(i + (j-1)*(2n-j)/2) = A(i,j) for j<=i<=n. If DIAG = 'U', the diagonal elements of A are not referenced and are assumed to be 1. RCOND (output) The reciprocal of the condition number of the matrix A, com- puted as RCOND = 1/(norm(A) * norm(inv(A))). WORK (workspace) COMPLEX array, dimension(2*N) WORK2 (workspace) REAL array, dimension(N) INFO (output) = 0: successful exit < 0: if INFO = -i, the i-th argument had an illegal value 7 Nov 2015 ctpcon(3P)