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Canonical primal-dual algorithm for solving fourth-order polynomial minimization problems

Zhou, Xiaojun; Gao, David; Yang, Chunhua


This paper focuses on implementation of a general canonical primal–dual algorithm for solving a class of fourth-order polynomial minimization problems. A critical issue in the canonical duality theory has been addressed, i.e., in the case that the canonical dual problem has no interior critical point in its feasible space View the MathML source, a quadratic perturbation method is introduced to recover the global solution through a primal–dual iterative approach, and a gradient-based method is...[Show more]

CollectionsANU Research Publications
Date published: 2014
Type: Journal article
Source: Applied Mathematics and Computation
DOI: 10.1016/j.amc.2013.11.013


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