A Modification of Some Algorithms for Enclosing a Simple Zero of Nonlinear Equations

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  • 非線形方程式の単根の存在区間を求めるアルゴリズムの数値実験と改良
  • ヒセンケイ ホウテイシキ ノ タンコン ノ ソンザイ クカン オ モトメル ア

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Abstract

A modification of some algorithms due to Alefeld et al. is presented for enclosing a simple zero of a nonlinear equation f(x)=0 in a given finite interval. Alefeld et al. make use of both the bisection method and the Newton-Raphson method as well as inverse cubic interpolation to enclose a simple zero in a stable manner. Numerical experiments show that our modified method compares well with the methods of Alefeld et al..

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