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Global optimization by canonical dual function

โœ Scribed by Jinghao Zhu; Jiani Zhou; David Gao

Book ID
104007019
Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
400 KB
Volume
234
Category
Article
ISSN
0377-0427

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โœฆ Synopsis

In this paper, the canonical dual function (Gao, 2004 [4]) is used to solve a global optimization. We find global minimizers by backward differential flows. The backward flow is created by the local solution to the initial value problem of an ordinary differential equation. Some examples and applications are presented.

๐Ÿ“œ SIMILAR VOLUMES

A study on concave optimization via cano
A study on concave optimization via canonical dual function
โœ Jinghao Zhu; Shiming Tao; David Gao ๐Ÿ“‚ Article ๐Ÿ“… 2009 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 393 KB

In this study we find a global minimizer of a concave function over a sphere. By introducing a differential equation, we obtain the invariant characteristics for a given optimization problem by constructing a canonical dual function. We present two theorems concerning the global optimality of an ext