A perturbation result for generalized eigenvalue problems and its application to error estimation in a quadrature method for computing zeros of analytic functions

Journal of Computational and Applied Mathematics

Volumn 161, Issue 2, 2003, Pages 339-347

  Kravanja, Peter ^a   Sakurai, Tetsuya ^b   Sugiura, Hiroshi ^c   Van Barel, Marc ^a  

^a UNIVERSITY OF LEUVEN   (Belgium)

^b UNIVERSITY OF TSUKUBA   (Japan)

^c NAGOYA UNIVERSITY   (Japan)

Author keywords

Error analysis; Quadrature methods; Zeros of analytic functions

Indexed keywords

APPROXIMATION THEORY; ERROR ANALYSIS; FUNCTIONS; PERTURBATION TECHNIQUES; PROBLEM SOLVING;

ANALYTIC FUNCTIONS;

EIGENVALUES AND EIGENFUNCTIONS;

ANALYTICAL MODEL; ERROR; EXPERIMENTAL MEASUREMENT;

EID: 0242456396     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cam.2003.03.003     Document Type: Article

References (5)

1. Kato T. Perturbation Theory for Linear Operators 1976 Springer Berlin
2. Kravanja P. Sakurai T. Van Barel M. On locating clusters of zeros of analytic functions BIT 39 4 1999 646-682
3. Kravanja P. Van Barel M. Computing the zeros of analytic functions Lecture Notes in Mathematics Vol. 1727 2000 Springer Berlin
4. Kravanja P. Van Barel M. Haegemans A. On computing zeros and poles of meromorphic functions Papamichael N. Ruscheweyh St. Saff E.B. Computational Methods and Function Theory 1997 Series in Approximations and Decompositions Vol. 11 1999 World Scientific Singapore
5. Sakurai T. Kravanja P. Sugiura H. Van Barel M. An error analysis of two related quadrature methods for computing zeros of analytic functions J. Comput. Appl. Math. 152 1-2 2003 467-480