Canonical duality theory and triality for solving general global optimization problems in complex systems

Daniel Morales-Silva, David Y. Gao

    Research output: Contribution to journalArticlepeer-review

    3 Citations (Scopus)

    Abstract

    General nonconvex optimization problems are studied by using the canonical duality-triality theory. The triality theory is proved for sums of exponentials and quartic polynomials, which solved an open problem left in 2003. This theory can be used to find the global minimum and local extrema, which bridges a gap between global optimization and nonconvex mechanics. Detailed applications are illustrated by several examples.

    Original languageEnglish
    Pages (from-to)139-161
    Number of pages23
    JournalMathematics and Mechanics of Complex Systems
    Volume3
    Issue number2
    DOIs
    Publication statusPublished - 2015

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