完全正张量的非均质化

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2022-06-25 DOI:10.3934/naco.2022037

Jiawang Nie, Xindong Tang, Zi Yang, Suhan Zhong

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引用次数: 1

摘要

．一个实对称张量是完全正的(CP)，如果它是非负向量的对称张量幂的和。我们提出了一种研究CP张量的非均质化方法。这给了CP张量新的Moment-SOS弛豫。该方法可以更有效地解决CP张量的检测和CP张量锥的线性二次优化问题。

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Dehomogenization for completely positive tensors

. A real symmetric tensor is completely positive (CP) if it is a sum of symmetric tensor powers of nonnegative vectors. We propose a dehomogenization approach for studying CP tensors. This gives new Moment-SOS relaxations for CP tensors. Detection for CP tensors and the linear conic optimization with CP tensor cones can be solved more eﬃciently by the deho- mogenization approach.

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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.