Contents
zgecon - estimate the reciprocal of the condition number of
a general complex matrix A, in either the 1-norm or the
infinity-norm, using the LU factorization computed by ZGETRF
SUBROUTINE ZGECON(NORM, N, A, LDA, ANORM, RCOND, WORK, WORK2, INFO)
CHARACTER * 1 NORM
DOUBLE COMPLEX A(LDA,*), WORK(*)
INTEGER N, LDA, INFO
DOUBLE PRECISION ANORM, RCOND
DOUBLE PRECISION WORK2(*)
SUBROUTINE ZGECON_64(NORM, N, A, LDA, ANORM, RCOND, WORK, WORK2,
INFO)
CHARACTER * 1 NORM
DOUBLE COMPLEX A(LDA,*), WORK(*)
INTEGER*8 N, LDA, INFO
DOUBLE PRECISION ANORM, RCOND
DOUBLE PRECISION WORK2(*)
F95 INTERFACE
SUBROUTINE GECON(NORM, [N], A, [LDA], ANORM, RCOND, [WORK], [WORK2],
[INFO])
CHARACTER(LEN=1) :: NORM
COMPLEX(8), DIMENSION(:) :: WORK
COMPLEX(8), DIMENSION(:,:) :: A
INTEGER :: N, LDA, INFO
REAL(8) :: ANORM, RCOND
REAL(8), DIMENSION(:) :: WORK2
SUBROUTINE GECON_64(NORM, [N], A, [LDA], ANORM, RCOND, [WORK], [WORK2],
[INFO])
CHARACTER(LEN=1) :: NORM
COMPLEX(8), DIMENSION(:) :: WORK
COMPLEX(8), DIMENSION(:,:) :: A
INTEGER(8) :: N, LDA, INFO
REAL(8) :: ANORM, RCOND
REAL(8), DIMENSION(:) :: WORK2
C INTERFACE
#include <sunperf.h>
void zgecon(char norm, int n, doublecomplex *a, int lda,
double anorm, double *rcond, int *info);
void zgecon_64(char norm, long n, doublecomplex *a, long
lda, double anorm, double *rcond, long *info);
zgecon estimates the reciprocal of the condition number of a
general complex matrix A, in either the 1-norm or the
infinity-norm, using the LU factorization computed by
ZGETRF.
An estimate is obtained for norm(inv(A)), and the reciprocal
of the condition number is computed as
RCOND = 1 / ( norm(A) * norm(inv(A)) ).
NORM (input)
Specifies whether the 1-norm condition number or
the infinity-norm condition number is required:
= '1' or 'O': 1-norm;
= 'I': Infinity-norm.
N (input) The order of the matrix A. N >= 0.
A (input) The factors L and U from the factorization A =
P*L*U as computed by ZGETRF.
LDA (input)
The leading dimension of the array A. LDA >=
max(1,N).
ANORM (input)
If NORM = '1' or 'O', the 1-norm of the original
matrix A. If NORM = 'I', the infinity-norm of the
original matrix A.
RCOND (output)
The reciprocal of the condition number of the
matrix A, computed as RCOND = 1/(norm(A) *
norm(inv(A))).
WORK (workspace)
dimension(2*N)
WORK2 (workspace)
dimension(2*N)
INFO (output)
= 0: successful exit
< 0: if INFO = -i, the i-th argument had an ille-
gal value