Hybrid Symbolic-Numeric Computation and Its Applications
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概要
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Approximate algebraic computation (AAC) becomes one of the most important research areas in the algebraic computation. The basis of the AAC is an approximate greatest common divisor (AppGCD) proposed by Sasaki and Noda. It has become one of the most important research areas in algebraic computation and is used for many applications such as hybrid integration, hybrid rational function approximation (HRFA), and others. The AppGCD and its applications work well for obtaining accurate results of ill-conditioned problems. Algorithms of the AppGCD are briefly surveyed and its applications such as hybrid integral, data smoothing by using the HRFA and new hybrid method for computing Cauchy principal value integral are described. Further, features of the HRFA and relations of the HRFA and ill-conditioned problems, and their applications are discussed.
- 愛媛大学の論文
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