On the Convergence Speed for Some Iterative Methods

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概要

• 論文の詳細を見る

• We derived two types of iterative methods, each containing two parameters. Then we established that these methods converge globally and monotonically to the zeros of both a polynomial with only real zeros and an entire function of genus 0 and 1 ( and in certain cases of genus 2) with only real zeros under some assumptions. In this paper, we discuss the convergence speed in Ostrowski's method, Halley's method and our methods.

• 一般社団法人情報処理学会の論文
• 1993-11-15

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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