利用D-gap函数求解盒约束变分等式问题的约瑟夫-牛顿混合方法

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 1999-01-01 DOI:10.1080/10556789908805734

Jiming Peng, Christian Kanzowb, M. Fukushima

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引用次数: 17

摘要

盒约束变分不等式问题可以通过D-gap函数重新表述为无约束最小化问题。研究了经典约瑟夫-牛顿方法中仿射变分不等式子问题的一些基本性质。然后提出了一种混合约瑟夫-牛顿法来最小化D-gap函数。在适当的条件下，该算法具有全局收敛性和局部二次收敛性。给出了一些数值结果。

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A hybrid Josephy — Newton method for solving box constrained variational equality roblems via the D-gap function

A box constrained variational inequality problem can be reformulated as an unconstrained minimization problem through the D-gap function. Some basic properties of the affine variational inequality subproblems in the classical Josephy-Newton method are studied. A hybrid Josephy-Newton method is then proposed for minimizing the D-gap function. Under suitable conditions, the algorithm is shown to be globally convergent and locally quadratically convergent. Some numerical results are also presented.

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.