広島大学大学院教育学研究科紀要. 第二部, 文化教育開発関連領域 54号
2006-03-28 発行

情報基礎教育のためのニュートン法を利用した数値計算アルゴリズムの理解

Understanding of An Algorithm for Numerical Computation via Newton's Method for Basic Information Education
本文ファイル
抄録
In this paper, the understanding of an algorithm for numerical computation via Newton's method is investigated. In order to demonstrate the efficiency of Newton's method, an example of how to use them is given. After introducing the mathematical tool related to matrix algebra, the new iterative technique that is based on Newton's method for solving a set of the algebraic Riccati equation is applied. It is shown that the proposed algorithm guarantees the local quadratic convergence. A numerical example to show the validity of the Newton's method is given for the practical control problem.
キーワード
ニュートン法
非線形行列方程式
数値計算
現代制御理論
Newton's method
nonlinear matrix education
numerical computation
modern control theory
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