Improvement of convergence of an iterative method for finding polynomial factors of analytic functions

Authors:
Tetsuya Sakurai;Hiroshi Sugiura
Affiliations:
Institute of Information Sciences and Electronics, University of Tsukuba, Tsukuba 305-8573, Japan;Graduate School of Engineering, Nagoya University, Nagoya 464-8603, Japan
Venue:
Journal of Computational and Applied Mathematics - Special issue: Proceedings of the 9th International Congress on computational and applied mathematics
Year:
2002

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Abstract

In this paper, we consider an iterative method for evaluating the coefficients of a monic factor of an analytic function using complex circular arithmetic. In a previous paper, the authors presented a factoring method that finds a cluster of zeros as a polynomial factor. We analyze the convergence behavior of this method and discuss a technique for improving convergence. Numerical examples illustrate the aspects of the improved method.