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Title: On methods for solving nonlinear semidefinite optimization problems
Authors: Sun, J. 
Keywords: Alternating direction method
Augmented Lagrangian method
Semismooth Newton method
Issue Date: Feb-2011
Citation: Sun, J. (2011-02). On methods for solving nonlinear semidefinite optimization problems. Numerical Algebra, Control and Optimization 1 (1) : 1-14. ScholarBank@NUS Repository.
Abstract: The nonlinear semidefinite optimization problem arises from applications in system control, structural design, financial management, and other fields. However, much work is yet to be done to effectively solve this problem. We introduce some new theoretical and algorithmic development in this field. In particular, we discuss first and second-order algorithms that appear to be promising, which include the alternating direction method, the augmented Lagrangian method, and the smoothing Newton method. Convergence theorems are presented and preliminary numerical results are reported.
Source Title: Numerical Algebra, Control and Optimization
ISSN: 21553289
DOI: 10.3934/naco.2011.1.1
Appears in Collections:Staff Publications

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