A vu-decomposition method for a second-order cone programming problem

A vu-decomposition method for solving a second-order cone problem is presented in this paper. It is first transformed into a nonlinear programming problem. Then, the structure of the Clarke subdifferential corresponding to the penalty function and some results of itsvu-decomposition are given. Under...

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Vydané v:Applied mathematics and mechanics Ročník 31; číslo 2; s. 263 - 270
Hlavný autor: 陆媛 庞丽萍 夏尊铨
Médium: Journal Article
Jazyk:English
Vydavateľské údaje: Heidelberg Shanghai University Press 01.02.2010
School of Mathematical Sciences,Dalian University of Technology,Dalian 116024,P.R.China
Predmet:
Applications of Mathematics
Classical Mechanics
Fluid- and Aerodynamics
Mathematical Modeling and Industrial Mathematics
Mathematics
Mathematics and Statistics
Partial Differential Equations
分解方法
命令扩展
概念性算法
结构分解
统计数字
超线性收敛速度
非线性规划问题
second-order cone programming
O221.2
O224
Lagrangian
90C30
49J52
49M39
decomposition
nonsmooth optimization
VU-decomposition
U-Lagrangian
ISSN:0253-4827, 1573-2754
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Abstract A vu-decomposition method for solving a second-order cone problem is presented in this paper. It is first transformed into a nonlinear programming problem. Then, the structure of the Clarke subdifferential corresponding to the penalty function and some results of itsvu-decomposition are given. Under a certain condition, a twice continuously differentiable trajectory is computed to produce a second-order expansion of the objective function. A conceptual algorithm for solving this problem with a superlinear convergence rate is given.
AbstractList O221.2%O224; A VU-decomposition method for solving a second-order cone problem is presented in this paper.It is first transformed into a nonlinear programming problem.Then,the structure of the Clarke subdifferential corresponding to the penalty function and some results of its VU-decomposition are given.Under a certain condition,a twice continuously differentiable trajectory is computed to produce a second-order expansion of the objective function.A conceptual algorithm for solving this problem with a superlinear convergence rate is given.
A vu-decomposition method for solving a second-order cone problem is presented in this paper. It is first transformed into a nonlinear programming problem. Then, the structure of the Clarke subdifferential corresponding to the penalty function and some results of itsvu-decomposition are given. Under a certain condition, a twice continuously differentiable trajectory is computed to produce a second-order expansion of the objective function. A conceptual algorithm for solving this problem with a superlinear convergence rate is given.
A VU -decomposition method for solving a second-order cone problem is presented in this paper. It is first transformed into a nonlinear programming problem. Then, the structure of the Clarke subdifferential corresponding to the penalty function and some results of its VU -decomposition are given. Under a certain condition, a twice continuously differentiable trajectory is computed to produce a second-order expansion of the objective function. A conceptual algorithm for solving this problem with a superlinear convergence rate is given.
Author 陆媛 庞丽萍 夏尊铨
AuthorAffiliation School of Mathematical Sciences, Dalian University of Technology, Dalian 116024, P. R. China
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CitedBy_id crossref_primary_10_1007_s10589_013_9624_x
crossref_primary_10_2217_ijr_13_59
crossref_primary_10_1155_2014_845017
Cites_doi 10.1007/s10107-002-0350-x
10.1137/S1052623402412441
10.1090/S0002-9947-99-02243-6
10.1007/PL00011388
10.1137/S1052623499350967
10.1007/s10483-008-0412-y
10.1007/s10114-007-0967-z
10.1007/s10957-008-9390-6
10.1137/S1052623400380365
10.1007/978-1-4757-3226-9_12
10.1007/978-3-642-45780-7_11
10.1007/978-1-4615-4381-7_8
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Issue 2
Keywords second-order cone programming
O221.2
O224
Lagrangian
90C30
49J52
49M39
decomposition
nonsmooth optimization
VU-decomposition
U-Lagrangian
Language English
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31-1650/O1
second-order cone programming, nonsmooth optimization,vu-Lagrangian,vu-decomposition
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School of Mathematical Sciences,Dalian University of Technology,Dalian 116024,P.R.China
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Snippet A vu-decomposition method for solving a second-order cone problem is presented in this paper. It is first transformed into a nonlinear programming problem....
A VU -decomposition method for solving a second-order cone problem is presented in this paper. It is first transformed into a nonlinear programming problem....
O221.2%O224; A VU-decomposition method for solving a second-order cone problem is presented in this paper.It is first transformed into a nonlinear programming...
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SubjectTerms Applications of Mathematics
Classical Mechanics
Fluid- and Aerodynamics
Mathematical Modeling and Industrial Mathematics
Mathematics
Mathematics and Statistics
Partial Differential Equations
分解方法
命令扩展
概念性算法
结构分解
统计数字
超线性收敛速度
非线性规划问题
Title A vu-decomposition method for a second-order cone programming problem
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