A hybrid integral for parametrized rational functions

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A hybrid integral for parametrized rational functions

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International Conference on Symbolic and Algebraic Computation archive
Proceedings of the 2007 international workshop on Symbolic-numeric computation table of contents

London, Ontario, Canada

SESSION: Contributed extended abstracts table of contents

Pages: 201 - 202

Year of Publication: 2007

ISBN:978-1-59593-744-5

Authors

Hiroshi Kai	Ehime University, Matsuyama, Ehime, Japan
Nanami Nakagawa	Ehime University, Matsuyama, Ehime, Japan
Matu-Tarow Noda	Ehime Campus Information Service Co.,LTD. Matsuyama, Ehime, Japan

Sponsors

SIGSAM: ACM Special Interest Group on Symbolic and Algebraic Manipulation
ACM: Association for Computing Machinery

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ACM New York, NY, USA

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ABSTRACT

We present a hybrid integral to obtain symbolic results of an indefinite integral where the integrand is an univariate rational function whose coeficients have a parameter. We consider calculating power series roots of the denominator polynomial by applying Hensel construction. Accurate numerical results for a definite integral are easily obtained by simple substitutions of upper and lower bounds of integral into obtained approximate symbolic results.Numerical experiments show that the hybrid integral works well around the expansion point of the power series roots.

REFERENCES

Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.

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