On the Attainable Order of Convergence for Some Multipoint Iteration Functions

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概要

• 論文の詳細を見る

• In this paper, we deal with a class of multipoint iterative formulas that find new approximations to a zero of a function f(x). First of all, we show that the attainable order of convergence is equal to 7 for a class of formulas that require two evaluations off(x) and two of f'(x) per iteration. Furthermore, we show that the attainable order of convergence is equal to 4 for a class of formulas that require one evaluation of f(x) and two of f'(x) per iteration and that the attainable order of convergence is equal to 4 for a class of formulas that require two evaluations of f(x) and one of f'(x) per iteration.

• 一般社団法人情報処理学会の論文
• 1991-02-10

著者

• Murakami Takahiko

  Department Of Mathematics Kobe University Of Merantile Marine

関連論文

• On the Convergence Speed for a Class of Interactive Methods
• Some Fifth Order Multipoint Iterative Formulae for Solving Equations
• A Class of Fifth Order Multipoint Iterative Methods for the Solution of Equations
• On the Attainable Order of Convergence for Some Multipoint Iteration Functions
• On Some Iterative Formulas for Solving Nonlinear Scalar Equations
• On the Global Convergence of Some Iterative Formulas
• On the Convergence Speed for Some Iterative Methods
• On the Global Convergence of Some Iterative Formulas

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