Canonical dual least square method for solving general nonlinear systems of quadratic equations

Title: Canonical dual least square method for solving general nonlinear systems of quadratic equations
Creator: Ruan, Ning; Gao, David
Date: 2010
Type: Text; Journal article
Identifier: http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/54482
Identifier: vital:5175
Identifier: https://doi.org/10.1007/s10589-008-9222-5
Identifier: ISSN:0926-6003
Abstract: This paper presents a canonical dual approach for solving general non- linear algebraic systems. By using least square method, the nonlinear system of m -quadratic equations in n -dimensional space is first formulated as a nonconvex opti- mization problem. We then proved that, by the canonical duality theory developed by the second author, this nonconvex problem is equivalent to a concave maximization problem in R, which can be solved easily by well-developed convex optimization techniques. Both existence and uniqueness of global optimal solutions are discussed, and several illustrative examples are presented.; C1
Relation: Computational Optimization and Applications Vol. 47, no. (2010), p. 335-347
Rights: Copyright Springer
Rights: This metadata is freely available under a CCO license
Subject: 0102 Applied Mathematics; 0103 Numerical and Computational Mathematics; Duality theory; Nonlinear systems of equations; Global optimization; Least square method
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