ztbcon - lar band matrix A, in either the 1-norm or the infinity-norm
SUBROUTINE ZTBCON(NORM, UPLO, DIAG, N, KD, A, LDA, RCOND, WORK, WORK2, INFO) CHARACTER*1 NORM, UPLO, DIAG DOUBLE COMPLEX A(LDA,*), WORK(*) INTEGER N, KD, LDA, INFO DOUBLE PRECISION RCOND DOUBLE PRECISION WORK2(*) SUBROUTINE ZTBCON_64(NORM, UPLO, DIAG, N, KD, A, LDA, RCOND, WORK, WORK2, INFO) CHARACTER*1 NORM, UPLO, DIAG DOUBLE COMPLEX A(LDA,*), WORK(*) INTEGER*8 N, KD, LDA, INFO DOUBLE PRECISION RCOND DOUBLE PRECISION WORK2(*) F95 INTERFACE SUBROUTINE TBCON(NORM, UPLO, DIAG, N, KD, A, LDA, RCOND, WORK, WORK2, INFO) CHARACTER(LEN=1) :: NORM, UPLO, DIAG COMPLEX(8), DIMENSION(:) :: WORK COMPLEX(8), DIMENSION(:,:) :: A INTEGER :: N, KD, LDA, INFO REAL(8) :: RCOND REAL(8), DIMENSION(:) :: WORK2 SUBROUTINE TBCON_64(NORM, UPLO, DIAG, N, KD, A, LDA, RCOND, WORK, WORK2, INFO) CHARACTER(LEN=1) :: NORM, UPLO, DIAG COMPLEX(8), DIMENSION(:) :: WORK COMPLEX(8), DIMENSION(:,:) :: A INTEGER(8) :: N, KD, LDA, INFO REAL(8) :: RCOND REAL(8), DIMENSION(:) :: WORK2 C INTERFACE #include <sunperf.h> void ztbcon(char norm, char uplo, char diag, int n, int kd, doublecom- plex *a, int lda, double *rcond, int *info); void ztbcon_64(char norm, char uplo, char diag, long n, long kd, dou- blecomplex *a, long lda, double *rcond, long *info);
Oracle Solaris Studio Performance Library ztbcon(3P) NAME ztbcon - estimate the reciprocal of the condition number of a triangu- lar band matrix A, in either the 1-norm or the infinity-norm SYNOPSIS SUBROUTINE ZTBCON(NORM, UPLO, DIAG, N, KD, A, LDA, RCOND, WORK, WORK2, INFO) CHARACTER*1 NORM, UPLO, DIAG DOUBLE COMPLEX A(LDA,*), WORK(*) INTEGER N, KD, LDA, INFO DOUBLE PRECISION RCOND DOUBLE PRECISION WORK2(*) SUBROUTINE ZTBCON_64(NORM, UPLO, DIAG, N, KD, A, LDA, RCOND, WORK, WORK2, INFO) CHARACTER*1 NORM, UPLO, DIAG DOUBLE COMPLEX A(LDA,*), WORK(*) INTEGER*8 N, KD, LDA, INFO DOUBLE PRECISION RCOND DOUBLE PRECISION WORK2(*) F95 INTERFACE SUBROUTINE TBCON(NORM, UPLO, DIAG, N, KD, A, LDA, RCOND, WORK, WORK2, INFO) CHARACTER(LEN=1) :: NORM, UPLO, DIAG COMPLEX(8), DIMENSION(:) :: WORK COMPLEX(8), DIMENSION(:,:) :: A INTEGER :: N, KD, LDA, INFO REAL(8) :: RCOND REAL(8), DIMENSION(:) :: WORK2 SUBROUTINE TBCON_64(NORM, UPLO, DIAG, N, KD, A, LDA, RCOND, WORK, WORK2, INFO) CHARACTER(LEN=1) :: NORM, UPLO, DIAG COMPLEX(8), DIMENSION(:) :: WORK COMPLEX(8), DIMENSION(:,:) :: A INTEGER(8) :: N, KD, LDA, INFO REAL(8) :: RCOND REAL(8), DIMENSION(:) :: WORK2 C INTERFACE #include <sunperf.h> void ztbcon(char norm, char uplo, char diag, int n, int kd, doublecom- plex *a, int lda, double *rcond, int *info); void ztbcon_64(char norm, char uplo, char diag, long n, long kd, dou- blecomplex *a, long lda, double *rcond, long *info); PURPOSE ztbcon estimates the reciprocal of the condition number of a triangular band 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. KD (input) The number of superdiagonals or subdiagonals of the triangu- lar band matrix A. KD >= 0. A (input) The upper or lower triangular band matrix A, stored in the first kd+1 rows of the array. The j-th column of A is stored in the j-th column of the array A as follows: if UPLO = 'U', A(kd+1+i-j,j) = A(i,j) for max(1,j-kd)<=i<=j; if UPLO = 'L', A(1+i-j,j) = A(i,j) for j<=i<=min(n,j+kd). If DIAG = 'U', the diagonal elements of A are not referenced and are assumed to be 1. LDA (input) The leading dimension of the array A. LDA >= KD+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) 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 ztbcon(3P)