On Range Inclusion of Polynomials Applying Interval Arithmetic(Numerical Analysis and Optimization)

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概要

• 論文の詳細を見る

• Interval arithmetic is able to be applied when we include the ranges of various functions. When we include them applying the interval arithmetic, the serious problem that the widths of the range inclusions increase extremely exists. In range inclusion of polynomials particularly, Horner's method and Alefeld's method are well known as the conventional methods which mitigates this problem. The purpose of this paper is to propose the new methods which are able to mitigate this problem more efficiently than the conventional methods. And in this paper, we show and compare the efficiencies of the new methods by some numerical examples.

• 社団法人電子情報通信学会の論文
• 2004-03-01

著者

• Kashiwagi Masahide

  Department Of Computer Science School Of Science And Engineering Waseda University

• MIYAJIMA Shinya

  Department of Information and Computer Science, School of Science and Engineering, Waseda University

• Miyajima Shinya

  Department Of Computer Science School Of Science And Engineering Waseda University

関連論文

• A New Dividing Method in Affine Arithmetic(Nonlinear Theory and its Applications)
• On Range Inclusion of Polynomials Applying Interval Arithmetic(Numerical Analysis and Optimization)

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