完全正张量的非均质化

IF 1.1 Q2 MATHEMATICS, APPLIED

Numerical Algebra Control and Optimization 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

Numerical Algebra Control and Optimization MATHEMATICS, APPLIED-

CiteScore

3.10

自引率

0.00%

发文量

期刊介绍： Numerical Algebra, Control and Optimization (NACO) aims at publishing original papers on any non-trivial interplay between control and optimization, and numerical techniques for their underlying linear and nonlinear algebraic systems. Topics of interest to NACO include the following: original research in theory, algorithms and applications of optimization; numerical methods for linear and nonlinear algebraic systems arising in modelling, control and optimisation; and original theoretical and applied research and development in the control of systems including all facets of control theory and its applications. In the application areas, special interests are on artificial intelligence and data sciences. The journal also welcomes expository submissions on subjects of current relevance to readers of the journal. The publication of papers in NACO is free of charge.