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Paper Abstract and Keywords
Presentation 2009-12-21 13:00
Schrodinger-type Equation for Nonlinear Optimization and its Application to Global Optimization
Hideki Satoh (Future Univ. Hakodate) NLP2009-130
Abstract (in Japanese) (See Japanese page) 
(in English) A method has been developed for deriving the approximate global optimum of a nonlinear objective function.
First, the objective function is expanded into a linear equation for a moment vector, and the optimization problem is reduced to an eigen analysis problem in the wave coefficient space.
Next, the process of the optimization is expressed using a Schr\"odinger-type equation, so global optimization is equivalent to eigen analysis of the Hamiltonian of a Schr\"odinger-type equation.
Computer simulation of this method demonstrated that it produces a good approximation of the global optimum.
An example optimization problem was solved using a Hamiltonian constructed by combining Hamiltonians for other optimization problems, demonstrating that various types of applications can be solved by combining simple Hamiltonians.
Keyword (in Japanese) (See Japanese page) 
(in English) nonlinear / global optimization / wave function / quantum computing / Schrodinger equation / / /  
Reference Info. IEICE Tech. Rep., vol. 109, no. 354, NLP2009-130, pp. 21-26, Dec. 2009.
Paper # NLP2009-130 
Date of Issue 2009-12-14 (NLP) 
ISSN Print edition: ISSN 0913-5685    Online edition: ISSN 2432-6380
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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 NLP  
Conference Date 2009-12-21 - 2009-12-21 
Place (in Japanese) (See Japanese page) 
Place (in English)  
Topics (in Japanese) (See Japanese page) 
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Paper Information
Registration To NLP 
Conference Code 2009-12-NLP 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Schrodinger-type Equation for Nonlinear Optimization and its Application to Global Optimization 
Sub Title (in English)  
Keyword(1) nonlinear  
Keyword(2) global optimization  
Keyword(3) wave function  
Keyword(4) quantum computing  
Keyword(5) Schrodinger equation  
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1st Author's Name Hideki Satoh  
1st Author's Affiliation Future University Hakodate (Future Univ. Hakodate)
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Speaker Author-1 
Date Time 2009-12-21 13:00:00 
Presentation Time 25 minutes 
Registration for NLP 
Paper # NLP2009-130 
Volume (vol) vol.109 
Number (no) no.354 
Page pp.21-26 
#Pages
Date of Issue 2009-12-14 (NLP) 


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