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ID 14353
file
title alternative
Understanding of An Algorithm for Numerical Computation via Newton's Method for Basic Information Education
creator
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
NDC
Mathematics
Education
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.
journal title
Bulletin of the Graduate School of Education, Hiroshima University. Part. II, Arts and science education
issue
Issue 54
start page
39
end page
45
date of issued
2006-03-28
publisher
広島大学大学院教育学研究科
issn
1346-5554
ncid
SelfDOI
language
jpn
nii type
Departmental Bulletin Paper
HU type
Departmental Bulletin Papers
DCMI type
text
format
application/pdf
text version
publisher
department
Graduate School of Education
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