GLOBALCONVERGENCE

作品数：6被引量：9H指数：2
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相关期刊：《Journal of Computational Mathematics》《Acta Mathematicae Applicatae Sinica》《Numerical Mathematics(Theory,Methods and Applications)》《Applied Mathematics(A Journal of Chinese Universities)》更多>>
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A Filter Method for Nonlinear Semidefinite Programming with Global Convergence被引量：7
《Acta Mathematica Sinica,English Series》2014年第10期1810-1826,共17页Zhi Bin ZHU Hua Li ZHU 
Supported by National Natural Science Foundation of China(Grant Nos.11061011 and 11361018);Guangxi Fund for Distinguished Young Scholars(Grant No.2012GXNSFFA060003);the Guangxi Fund(Grant No.2013GXNSFDA019002);the first author would like to thank the Project of Guangxi Innovation Team"Optimization method and its engineering application"(Grant No.2014GXNSFFA118001);supported by Guangxi Experiment Center of Information Science and Guangxi Key Laboratory of Automatic Detecting Technology and Instruments
In this study, a new filter algorithm is presented for solving the nonlinear semidefinite programming. This algorithm is inspired by the classical sequential quadratic programming method. Unlike the traditional filter...
关键词：Cone programming nonlinear semidefinite programming filter method step size GLOBALCONVERGENCE 
A NEW TRUST-REGION ALGORITHM FOR FINITE MINIMAX PROBLEM被引量：2
《Journal of Computational Mathematics》2012年第3期262-278,共17页Fusheng Wang Chuanlong Wang Li Wang 
In this paper, a new trust region algorithm for minimax optimization problems is proposed, which solves only one quadratic subproblem based on a new approximation model at each iteration. The approach is different wit...
关键词：Trust-region methods Minimax optimization Nonmonotone strategy GLOBALCONVERGENCE Superlinear convergence. 
An SQP Algorithm with Cautious Updating Criteria for Nonlinear Degenerate Problems
《Acta Mathematicae Applicatae Sinica》2009年第1期33-42,共10页Tao-wen Liu Jin-ping Zeng 
Supported by the National Natural Science Foundation of China(No.10671060);the Specialized Research Found for the Doctoral Program of Higher Education(No.20030532006)
An efficient SQP algorithm for solving nonlinear degenerate problems is proposed in the paper. At each iteration of the algorithm, a quadratic programming subproblem, which is always feasible by introducing a slack va...
关键词：Degenerate problem exact penalty function SQP algorithm cautious update criteria GLOBALCONVERGENCE 
Filter-sequence of quadratic programming method with nonlinear complementarity problem function
《Journal of Shanghai University(English Edition)》2008年第2期97-101,共5页金中 濮定国 张宇 蔡力 
Project supported by the National Natural Science Foundation of China (Grant Nos.10571137,10771162)
A mechanism for proving global convergence in filter-SQP （sequence of quadratic programming） method with the nonlinear complementarity problem （NCP） function is described for constrained nonlinear optimization pro...
关键词：nonlinear complementarity problem （NCP） function FILTER sequence of quadratic programming （SQP） globalconvergence. 
A TRUST REGION ALGORITHM FOR A CLASS OF NONLINEAR OPTIMIZATION
《Applied Mathematics(A Journal of Chinese Universities)》2000年第1期93-98,共6页Tong Xiaojiao\ Zhou ShuziDept.ofAppl. Math.,Hunan Univ.,Changsha 410082. 
This paper presents a trust region algorithm for nonlinear optimization with linear inequality constraints. The global convergence of the algorithm is proved. Local quadratic convergence is obtained for a strong local...
关键词：Trustregion nonlinearoptim ization GLOBALCONVERGENCE localquadratic convergence. 
A NEW GRADIENT PROJECTION METHOD AND ITS CONVERGENCE
《Numerical Mathematics A Journal of Chinese Universities(English Series)》1995年第1期91-106,共16页时贞军 
The subject is supported by Natural Science Foundation of China and Natural Science Foundation of Shandong Province.
In this paper, by using a new projection, we construct a variant of Zhang’s algorithm and prove its convergence. Specially, the variant of Zhang’s algorithm has quadratic termination and superlinear convergence rale...
关键词：linear CONSTRAINED optimization problem GRADIENT PROJECTION method GLOBALCONVERGENCE SUPERLINEAR CONVERGENCE rale. 
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