Archivio Istituzionale della RicercaIn this paper, we study the complex simultaneous Waring rank for collections of monomials. For general collections, we provide a lower bound, whereas for special collections we provide a formula for the simultaneous Waring rank. Our approach is algebraic and combinatorial. We give an application to ranks of binomials and maximal simultaneous ranks. Moreover, we include an appendix of scripts written in the algebra software Macaulay2 to experiment with simultaneous ranks. © 2018 University of Illinois.
A note on the simultaneous waring rank of monomials / Carlini, E; Ventura, E.. - In: ILLINOIS JOURNAL OF MATHEMATICS. - ISSN 0019-2082. - STAMPA. - 61:3-4(2017), pp. 517-530.
A note on the simultaneous waring rank of monomials
Carlini E;Ventura E.
2017
Abstract
In this paper, we study the complex simultaneous Waring rank for collections of monomials. For general collections, we provide a lower bound, whereas for special collections we provide a formula for the simultaneous Waring rank. Our approach is algebraic and combinatorial. We give an application to ranks of binomials and maximal simultaneous ranks. Moreover, we include an appendix of scripts written in the algebra software Macaulay2 to experiment with simultaneous ranks. © 2018 University of Illinois.
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https://hdl.handle.net/11583/2714833
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