ZTRCON - Online Linux Manual Page

Section : 1
Updated : November 2008
Source : LAPACK routine (version 3.2)
Note : LAPACK routine (version 3.2)
NAMEZTRCON - estimates the reciprocal of the condition number of a triangular matrix A, in either the 1-norm or the infinity-norm
SYNOPSISSUBROUTINE ZTRCON(  NORM, UPLO, DIAG, N, A, LDA, RCOND, WORK, RWORK, INFO )  CHARACTER DIAG, NORM, UPLO  INTEGER INFO, LDA, N  DOUBLE PRECISION RCOND  DOUBLE PRECISION RWORK( * )  COMPLEX*16 A( LDA, * ), WORK( * )
PURPOSEZTRCON 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)) ).
ARGUMENTSNORM (input) CHARACTER*1  Specifies whether the 1-norm condition number or the infinity-norm condition number is required:
= '1' or 'O': 1-norm;
= 'I': Infinity-norm. UPLO (input) CHARACTER*1  
= 'U': A is upper triangular;
= 'L': A is lower triangular. DIAG (input) CHARACTER*1  
= 'N': A is non-unit triangular;
= 'U': A is unit triangular. N (input) INTEGER  The order of the matrix A. N >= 0. A (input) COMPLEX*16 array, dimension (LDA,N)  The triangular matrix A. If UPLO = 'U', the leading N-by-N upper triangular part of the array A contains the upper triangular 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) INTEGER  The leading dimension of the array A. LDA >= max(1,N). RCOND (output) DOUBLE PRECISION  The reciprocal of the condition number of the matrix A, computed as RCOND = 1/(norm(A) * norm(inv(A))). WORK (workspace) COMPLEX*16 array, dimension (2*N)  RWORK (workspace) DOUBLE PRECISION array, dimension (N)  INFO (output) INTEGER  = 0: successful exit
< 0: if INFO = -i, the i-th argument had an illegal value 0
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