Real and complex Waring rank of reducible cubic forms

Enrico Carlini; Emanuele Ventura; Cheng Guo

doi:10.1016/j.jpaa.2016.05.007

Real and complex Waring rank of reducible cubic forms

Enrico Carlini^*, Emanuele Ventura, Cheng Guo

^*Corresponding author for this work

Department of Mathematics and Systems Analysis

Research output: Contribution to journal › Article › Scientific › peer-review

7 Citations (Scopus)

Abstract

In this paper, we study the real and the complex Waring rank of reducible cubic forms. In particular, we compute the complex rank of all reducible cubics. In the real case, for all reducible cubics, we either compute or bound the real rank depending on the signature of the degree two factor.

Original language	English
Pages (from-to)	3692-3701
Number of pages	10
Journal	JOURNAL OF PURE AND APPLIED ALGEBRA
Volume	220
Issue number	11
DOIs	https://doi.org/10.1016/j.jpaa.2016.05.007
Publication status	Published - 1 Nov 2016
MoE publication type	A1 Journal article-refereed

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10.1016/j.jpaa.2016.05.007

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title = "Real and complex Waring rank of reducible cubic forms",

abstract = "In this paper, we study the real and the complex Waring rank of reducible cubic forms. In particular, we compute the complex rank of all reducible cubics. In the real case, for all reducible cubics, we either compute or bound the real rank depending on the signature of the degree two factor.",

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AU - Guo, Cheng

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AB - In this paper, we study the real and the complex Waring rank of reducible cubic forms. In particular, we compute the complex rank of all reducible cubics. In the real case, for all reducible cubics, we either compute or bound the real rank depending on the signature of the degree two factor.

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JO - JOURNAL OF PURE AND APPLIED ALGEBRA

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Real and complex Waring rank of reducible cubic forms

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