Golden complementary dual in quadratic optimization

Akifumi Kira; Seiichi Iwamoto

doi:10.1007/978-3-540-88269-5_18

Golden complementary dual in quadratic optimization

Akifumi Kira, Seiichi Iwamoto

Research output: Chapter in Book/Report/Conference proceeding › Conference 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 language	English
Title of host publication	Modeling Decisions for Artificial Intelligence - 5th International Conference, MDAI 2008, Proceedings
Publisher	Springer Verlag
Pages	191-202
Number of pages	12
ISBN (Print)	3540882685, 9783540882688
DOIs	https://doi.org/10.1007/978-3-540-88269-5_18
Publication status	Published - 2008
Externally published	Yes
Event	5th International Conference on Modeling Decisions for Artificial Intelligence, MDAI 2008 - Sabadell, Spain Duration: 2008 Oct 30 → 2008 Oct 31

Publication series

Name	Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume	5285 LNAI
ISSN (Print)	0302-9743
ISSN (Electronic)	1611-3349

Other

Other	5th International Conference on Modeling Decisions for Artificial Intelligence, MDAI 2008
Country/Territory	Spain
City	Sabadell
Period	08/10/30 → 08/10/31

ASJC Scopus subject areas

Theoretical Computer Science
Computer Science(all)

Access to Document

10.1007/978-3-540-88269-5_18

Cite this

Kira, A., & Iwamoto, S. (2008). Golden complementary dual in quadratic optimization. In Modeling Decisions for Artificial Intelligence - 5th International Conference, MDAI 2008, Proceedings (pp. 191-202). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 5285 LNAI). Springer Verlag. https://doi.org/10.1007/978-3-540-88269-5_18

Golden complementary dual in quadratic optimization. / Kira, Akifumi; Iwamoto, Seiichi.

Modeling Decisions for Artificial Intelligence - 5th International Conference, MDAI 2008, Proceedings. Springer Verlag, 2008. p. 191-202 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 5285 LNAI).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Kira, A & Iwamoto, S 2008, Golden complementary dual in quadratic optimization. in Modeling Decisions for Artificial Intelligence - 5th International Conference, MDAI 2008, Proceedings. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 5285 LNAI, Springer Verlag, pp. 191-202, 5th International Conference on Modeling Decisions for Artificial Intelligence, MDAI 2008, Sabadell, Spain, 08/10/30. https://doi.org/10.1007/978-3-540-88269-5_18

Kira A, Iwamoto S. Golden complementary dual in quadratic optimization. In Modeling Decisions for Artificial Intelligence - 5th International Conference, MDAI 2008, Proceedings. Springer Verlag. 2008. p. 191-202. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)). doi: 10.1007/978-3-540-88269-5_18

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Golden complementary dual in quadratic optimization

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