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Paper Abstract and Keywords
Presentation 2018-10-19 14:45
Convergence of a Pseudo-Decentralized Discrete-Time Algorithm for Computing Algebraic Connectivity -- Analysis of the Case Where Algebraic Connectivity is Repeated --
Tomohisa Urakami, Norikazu Takahashi (Okayama Univ.) CAS2018-58 NLP2018-93
Abstract (in Japanese) (See Japanese page) 
(in English) The algebraic connectivity of a network, which is defined as the second smallest eigenvalue of the Laplacian matrix, is a measure that represents how well the network is connected. The authors recently considered a pseudo-decentralized discrete-time algorithm for computing the algebraic connectivity, and derived a sufficient condition for the estimated values of the algebraic connectivity to converge to the true value under the assumption that all eigenvalues of the Laplacian matrix are simple. In this study, we analyze the convergence property of the algorithm in the case where the algebraic connectivity is repeated, and show that the convergence is guaranteed under the same sufficient condition as before. We also confirm the validity of the derived condition through numerical experiments.
Keyword (in Japanese) (See Japanese page) 
(in English) algebraic connectivity / pseudo-decentralized algorithm / Laplacian matrix / repeated eigenvalue / convergence / / /  
Reference Info. IEICE Tech. Rep., vol. 118, no. 243, NLP2018-93, pp. 115-120, Oct. 2018.
Paper # NLP2018-93 
Date of Issue 2018-10-11 (CAS, NLP) 
ISSN Print edition: ISSN 0913-5685    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)
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Conference Information
Committee CAS NLP  
Conference Date 2018-10-18 - 2018-10-19 
Place (in Japanese) (See Japanese page) 
Place (in English) Tohoku Univ. 
Topics (in Japanese) (See Japanese page) 
Topics (in English) Mathematical modeling, numerical simulation etc. 
Paper Information
Registration To NLP 
Conference Code 2018-10-CAS-NLP 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Convergence of a Pseudo-Decentralized Discrete-Time Algorithm for Computing Algebraic Connectivity 
Sub Title (in English) Analysis of the Case Where Algebraic Connectivity is Repeated 
Keyword(1) algebraic connectivity  
Keyword(2) pseudo-decentralized algorithm  
Keyword(3) Laplacian matrix  
Keyword(4) repeated eigenvalue  
Keyword(5) convergence  
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1st Author's Name Tomohisa Urakami  
1st Author's Affiliation Okayama University (Okayama Univ.)
2nd Author's Name Norikazu Takahashi  
2nd Author's Affiliation Okayama University (Okayama Univ.)
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Speaker Author-1 
Date Time 2018-10-19 14:45:00 
Presentation Time 25 minutes 
Registration for NLP 
Paper # CAS2018-58, NLP2018-93 
Volume (vol) vol.118 
Number (no) no.242(CAS), no.243(NLP) 
Page pp.115-120 
#Pages 6 
Date of Issue 2018-10-11 (CAS, NLP) 

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