Orthogonalized Steepest Descent Method for Solving Nonlinear Equations

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概要

• 論文の詳細を見る

• This paper describes a novel algorithm based on Steepest Descent Method (SDM) for solving a system of nonlinear algebraic equations. First, we compare SDM with Newton-Raphson Method (NRM) and propose a novel technique which is derived from the equivalent property between them. The proposed method is an efficient algorithm which not only can overcome drawbacks of NRM but also can exploit the convergence speed of NRM. We refer to this technique as Orthogonalized Steepest Descent Method. We demonstrate the validity of the proposed technique for several nonlinear equations.

• 湘南工科大学の論文
• 1999-03-25

著者

• NINOMIYA Hiroshi

  Department of Otolaryngology-Head and Neck Surgery, Gunma University Graduate School of Medicine

• Ninomiya H

  Department Of Otolaryngology-head And Neck Surgery Gunma University Graduate School Of Medicine

• NINOMIYA Hiroshi

  湘南工科大学工学部情報工学科

• ASAI Hideki

  静岡大学工学部

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