检索结果-南通市图书馆

A New Subspace Correction Method for Nonlinear Unconstrained Convex Optimization Problems

维普期刊数据库评论

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

Acta Mathematicae Applicatae Sinica 2012年第4期28卷 745-756页

作者： Rong-liang CHEN jin-ping zeng College of Mathematics and Econometrics Hunan University College of Computer Dongguan University of Technology

This paper gives a new subspace correction algorithm for nonlinear unconstrained convex optimization problems based on the multigrid approach proposed by S. Nash in 2000 and the subspace correction algorithm proposed by X. Tai and J. Xu in 2001. Under some reasonable assumptions, we obtain the convergence as well as a convergence rate estimate for the algorithm. Numerical results show that the algorithm is effective.

关键词： nonlinear optimization convergence subspace correction method

An SQP Algorithm with Cautious Updating Criteria for Nonlinear Degenerate Problems

在线全文

学校读者我要写书评

暂无评论

Acta Mathematicae Applicatae Sinica 2009年第1期25卷 33-42页

作者： Tao-wen Liu jin-ping zeng College of Mathematics and Econometrics Hunan University Changsha 410082 China College of Software Dongguan University of Technology Dongguan 523808 China

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 variable, is solved to obtain a search direction. The steplength along this direction is computed by employing the 1∞ exact penalty function through Armijo-type line search scheme. The algorithm is proved to be convergent globally under mild conditions.

关键词： Degenerate problem exact penalty function SQP algorithm cautious update criteria globalconvergence

Multisplitting Iteration Schemes for Solving a Class of Nonlinear Complementarity Problems

在线全文

学校读者我要写书评

暂无评论

Acta Mathematicae Applicatae Sinica 2007年第1期23卷 79-90页

作者： Chen-liang Li jin-ping zeng College of Mathematics and Computer Science Hunan Normal University Changsha 410081 China Department of Computational Science and Mathematics Guilin University of Electronics Technology Guilin541004 China Institute of Applied Mathematics Hunan University Changsha 410082 China

We consider several synchronous and asynchronous multisplitting iteration schemes for solving a class of nonlinear complementarity problems with the system matrix being an H-matrix. We establish the convergence theorems for the schemes. The numerical experiments show that the schemes are efficient for solving the class of nonlinear complementarity problems.

关键词： Nonlinear complementarity problems asynchronous iteration H-matrix multisplitting method

Block Monotone Iterative Algorithms for Variational Inequalities with Nonlinear Operators

在线全文

学校读者我要写书评

暂无评论

Acta Mathematicae Applicatae Sinica 2008年第2期24卷 221-232页

作者： Ming-hui Ren jin-ping zeng Department of Mathematics Hunan University of Arts and Science Changde 415000 China College of Software Dongguan University of Technology Dongguan 511700 China

Some block iterative methods for solving variational inequalities with nonlinear operators are proposed. Monotone convergence of the algorithms is obtained. Some comparison theorems are also established. Compared with the research work in given by Pao in 1995 for nonlinear equations and research work in given by zeng and Zhou in 2002 for elliptic variational inequalities, the algorithms proposed in this paper are independent of the boundedness of the derivatives of the nonlinear operator.

关键词： Monotone iterative algorithm upper solution lower solution comparison theorem variationalinequality

在线全文

学校读者我要写书评

暂无评论

大应变测量中扩大应变仪量程的几种方法

青岛化工学院学报（自然科学版） 2001年第1期22卷 92-93,95页

作者：金增平青岛化工学院机械工程学院山东青岛266042

研究了应变仪在使用过程中需要扩大量程时常用的几种方法 ,同时分析了几种方法的误差。

关键词：大应变测量应变仪量程方法

Fructus Akebiae:A novel serotonin,norepinephrine and dopamine reuptake inhibitor

在线全文

学校读者我要写书评

暂无评论

Fructus Akebiae:A novel serotonin,norepinephrine and dopamin...