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Paper Abstract and Keywords
Presentation 2022-08-02 10:15
A new method for the system of nonlinear equations -- Newton-Raphson method and W4 method --
Hirotada Okawa (WIAS) NLP2022-29
Abstract (in Japanese) (See Japanese page) 
(in English) There is no successful single method that can solve any system of nonlinear equations so far. Although the Newton-Raphson (NR) method is one of the promising iterative methods, it requires a fine-tuning initial-guess that is close to the solution.
Recently, we proposed a new method, the W4 method, which is inspired by the equation of motion of damped oscillators, keeps the local convergence as the NR method does and improves the global convergence.
In this article, we compare the results by the W4 method with those by the NR method and its extension in the literature.
Keyword (in Japanese) (See Japanese page) 
(in English) A system of nonlinear equations / Iterative method / Newton-Raphson method / Global convergence / / / /  
Reference Info. IEICE Tech. Rep., vol. 122, no. 143, NLP2022-29, pp. 15-19, Aug. 2022.
Paper # NLP2022-29 
Date of Issue 2022-07-26 (NLP) 
ISSN Online edition: ISSN 2432-6380
Copyright
and
reproduction		 All rights are reserved and no part of this publication may be reproduced or transmitted in any form or by any means, electronic or mechanical, including photocopy, recording, or any information storage and retrieval system, without permission in writing from the publisher. Notwithstanding, instructors are permitted to photocopy isolated articles for noncommercial classroom use without fee. (License No.: 10GA0019/12GB0052/13GB0056/17GB0034/18GB0034)
Download PDF NLP2022-29

Conference Information
Committee NLP  
Conference Date 2022-08-02 - 2022-08-02 
Place (in Japanese) (See Japanese page) 
Place (in English) Online 
Topics (in Japanese) (See Japanese page) 
Topics (in English)  
Paper Information
Registration To NLP 
Conference Code 2022-08-NLP 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) A new method for the system of nonlinear equations 
Sub Title (in English) Newton-Raphson method and W4 method 
Keyword(1) A system of nonlinear equations  
Keyword(2) Iterative method  
Keyword(3) Newton-Raphson method  
Keyword(4) Global convergence  
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1st Author's Name Hirotada Okawa  
1st Author's Affiliation Waseda Institute for Advanced Study (WIAS)
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Speaker Author-1 
Date Time 2022-08-02 10:15:00 
Presentation Time 25 minutes 
Registration for NLP 
Paper # NLP2022-29 
Volume (vol) vol.122 
Number (no) no.143 
Page pp.15-19 
#Pages 5 
Date of Issue 2022-07-26 (NLP) 

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