Circulant matrices and Galois-Togliatti systems
Circulant matrices and Galois-Togliatti systems
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2020
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Journal of Pure and Applied Algebra ; 224 (2020), 11. - 106404. - Elsevier. - ISSN 0022-4049. - eISSN 1873-1376
Abstract
The goal of this article is to compare the coefficients in the expansion of the permanent with those in the expansion of the determinant of a three-lines circulant matrix. As an application we solve a conjecture stated in [17] concerning the minimality of GT-systems.
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510 Mathematics
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DE POI, Pietro, Emilia MEZZETTI, Mateusz MICHALEK, Rosa Maria MIRÓ-ROIG, Eran NEVO, 2020. Circulant matrices and Galois-Togliatti systems. In: Journal of Pure and Applied Algebra. Elsevier. 224(11), 106404. ISSN 0022-4049. eISSN 1873-1376. Available under: doi: 10.1016/j.jpaa.2020.106404BibTex
@article{DePoi2020Circu-52454, year={2020}, doi={10.1016/j.jpaa.2020.106404}, title={Circulant matrices and Galois-Togliatti systems}, number={11}, volume={224}, issn={0022-4049}, journal={Journal of Pure and Applied Algebra}, author={De Poi, Pietro and Mezzetti, Emilia and Michalek, Mateusz and Miró-Roig, Rosa Maria and Nevo, Eran}, note={Article Number: 106404} }
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