Golden complementary dual in quadratic optimization

Akifumi Kira, Seiichi Iwamoto

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

This paper discusses the dual of infinite-variable quadratic minimization (primal) problems from a view point of Golden ratio. We consider two pairs of primal and dual (maximization) problems. One pair yields the Golden complementary duality: (i) Both the minimum value function and the maximum value function are the identical Golden quadratic. (ii) Both the minimum point and the maximum point constitute the Golden paths. (iii) The alternate sequence of both the Golden paths constitutes another Golden path. The other yields the inverse-Golden complementary duality: (i)′ Both the minimum value function and the maximum value function are the identical inverse-Golden quad- ratic, (ii) and (iii).

Original languageEnglish
Title of host publicationModeling Decisions for Artificial Intelligence - 5th International Conference, MDAI 2008, Proceedings
PublisherSpringer Verlag
Pages191-202
Number of pages12
ISBN (Print)3540882685, 9783540882688
DOIs
Publication statusPublished - 2008
Event5th International Conference on Modeling Decisions for Artificial Intelligence, MDAI 2008 - Sabadell, Spain
Duration: 2008 Oct 302008 Oct 31

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume5285 LNAI
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Other

Other5th International Conference on Modeling Decisions for Artificial Intelligence, MDAI 2008
CountrySpain
CitySabadell
Period08/10/3008/10/31

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Computer Science(all)

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