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

^*Tämän työn vastaava kirjoittaja

Matematiikan ja systeemianalyysin laitos

Tutkimustuotos: Lehtiartikkeli › Article › Scientific › vertaisarvioitu

7 Sitaatiot (Scopus)

Abstrakti

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.

Alkuperäiskieli	Englanti
Sivut	3692-3701
Sivumäärä	10
Julkaisu	JOURNAL OF PURE AND APPLIED ALGEBRA
Vuosikerta	220
Numero	11
DOI - pysyväislinkit	https://doi.org/10.1016/j.jpaa.2016.05.007
Tila	Julkaistu - 1 marrask. 2016
OKM-julkaisutyyppi	A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä

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10.1016/j.jpaa.2016.05.007

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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.",

author = "Enrico Carlini and Emanuele Ventura and Cheng Guo",

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T1 - Real and complex Waring rank of reducible cubic forms

AU - Carlini, Enrico

AU - Ventura, Emanuele

AU - Guo, Cheng

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N2 - 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.

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.

UR - http://www.scopus.com/inward/record.url?scp=84971300420&partnerID=8YFLogxK

U2 - 10.1016/j.jpaa.2016.05.007

DO - 10.1016/j.jpaa.2016.05.007

M3 - Article

AN - SCOPUS:84971300420

SN - 0022-4049

VL - 220

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JO - JOURNAL OF PURE AND APPLIED ALGEBRA

JF - JOURNAL OF PURE AND APPLIED ALGEBRA

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Real and complex Waring rank of reducible cubic forms

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