Bulletin of the Graduate School of Education, Hiroshima University. Part. II, Arts and science education Issue 54
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
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abstract
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.
subject
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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