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A Decomposition Method with Redistributed Subroutine for Constrained Nonconvex Optimization

Yuan Lu, Wei Wang, Li-Ping Pang and Dan Li

Abstract and Applied Analysis, 2013, vol. 2013, issue 1

Abstract: A class of constrained nonsmooth nonconvex optimization problems, that is, piecewise C2 objectives with smooth inequality constraints are discussed in this paper. Based on the 𝒱𝒰‐theory, a superlinear convergent 𝒱𝒰‐algorithm, which uses a nonconvex redistributed proximal bundle subroutine, is designed to solve these optimization problems. An illustrative example is given to show how this convergent method works on a Second‐Order Cone programming problem.

Date: 2013
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https://doi.org/10.1155/2013/376403

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