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最佳秩-1 近似比的概率边界

IF 0.9 4区 数学 Q2 MATHEMATICS
Linear & Multilinear Algebra Pub Date : 2024-03-03 DOI:10.1080/03081087.2024.2304146
Khazhgali Kozhasov, Josué Tonelli-Cueto
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引用次数: 0

摘要

我们为（部分）对称张量的谱规范和弗罗贝尼斯规范的最小可能比值提供了新的上界和下界。在一般张量的特殊情况下，我们的结果重现了...
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Probabilistic bounds on best rank-1 approximation ratio
We provide new upper and lower bounds on the minimum possible ratio of the spectral and Frobenius norms of a (partially) symmetric tensor. In the particular case of general tensors, our result reco...
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来源期刊
Linear & Multilinear Algebra
Linear & Multilinear Algebra 数学-数学
CiteScore
2.70
自引率
18.20%
发文量
175
审稿时长
4-8 weeks
期刊介绍： Linear and Multilinear Algebra publishes high-quality original research papers that advance the study of linear and multilinear algebra, or that include novel applications of linear and multilinear algebra to other branches of mathematics and science. Linear and Multilinear Algebra also publishes research problems, survey articles and book reviews of interest to researchers in linear and multilinear algebra. Appropriate areas include, but are not limited to: spaces over fields or rings tensor algebras nonnegative matrices inequalities in linear algebra combinatorial matrix theory numerical linear algebra representation theory Lie theory invariant theory and operator theory The audience for Linear and Multilinear Algebra includes both industrial and academic mathematicians.
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