The Numerical Solution of Systems of Nonlinear Equations by an Extension of Hirano's Method and Armijo's Rule

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Other Title
  • 平野法とArmijo法の拡張による非線形連立方程式の解法

Description

<p>Abstract. This paper presents a new numerical algorithm for solving systems of nonlinear equations. The objective is to nd a solution near the initial approximate solution. In order to realize this, we apply an idea similar to Hirano's method for algebraic equations and Armijo's rule for nonlinear optimization. The effectiveness of the proposed method is demonstrated by numerical experiments on various systems of algebraic and nonlinear equations.</p>

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Details 詳細情報について

  • CRID
    1390282763124711808
  • NII Article ID
    130007667181
  • DOI
    10.11540/jsiamt.29.2_225
  • ISSN
    24240982
  • Text Lang
    ja
  • Data Source
    • JaLC
    • CiNii Articles
  • Abstract License Flag
    Disallowed

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