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). © 2008 Springer Berlin Heidelberg.
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CITATION STYLE
Kira, A., & Iwamoto, S. (2008). Golden complementary dual in quadratic optimization. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 5285 LNAI, pp. 191–202). Springer Verlag. https://doi.org/10.1007/978-3-540-88269-5_18
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