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Paper Abstract and Keywords
Presentation 2024-06-07 13:40
Lower Bounds for the Smallest Singular Values of Asymptotic Diagonal Dominant Matrices
Shin'ichi Oishi (Waseda Univ.) NLP2024-35 CCS2024-22
Abstract (in Japanese) (See Japanese page) 
(in English) The present article presents three classes of real square matrices modeling coefficients matrices of linearized Galerkin's equations for certain first order
nonlinear delay differential equation with smooth nonlinearity.
This paper shows results of computer experiments exhibiting the fact
that the minimum singular values of such classes of matrices are unchanged
even if orders of matrices are increased. It is shown that lower bounds for such classes of matrices can be derived
by introducing an asymptotic diagonal dominant matrix theory.
It is shown that these lower bounds are unchanged even if orders of matrices are increased.
Keyword (in Japanese) (See Japanese page) 
(in English) Asymptotic Diagonal Dominant Matrix / Minimum Singular Value / / / / / /  
Reference Info. IEICE Tech. Rep., vol. 124, no. 62, NLP2024-35, pp. 96-100, June 2024.
Paper # NLP2024-35 
Date of Issue 2024-05-30 (NLP, CCS) 
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 NLP2024-35 CCS2024-22

Conference Information
Committee NLP CCS  
Conference Date 2024-06-06 - 2024-06-07 
Place (in Japanese) (See Japanese page) 
Place (in English) West Japan General Exhibition Center AIM 
Topics (in Japanese) (See Japanese page) 
Topics (in English) Nonlinear Problems, Complex Communication Sciences, etc. 
Paper Information
Registration To NLP 
Conference Code 2024-06-NLP-CCS 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Lower Bounds for the Smallest Singular Values of Asymptotic Diagonal Dominant Matrices 
Sub Title (in English)  
Keyword(1) Asymptotic Diagonal Dominant Matrix  
Keyword(2) Minimum Singular Value  
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1st Author's Name Shin'ichi Oishi  
1st Author's Affiliation Waseda University (Waseda Univ.)
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Speaker Author-1 
Date Time 2024-06-07 13:40:00 
Presentation Time 25 minutes 
Registration for NLP 
Paper # NLP2024-35, CCS2024-22 
Volume (vol) vol.124 
Number (no) no.62(NLP), no.63(CCS) 
Page pp.96-100 
#Pages 5 
Date of Issue 2024-05-30 (NLP, CCS) 

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