Dual spaces and bilinear forms in supertropical linear algebra

摘要

Continuing 44. Izhakian, Z, Knebusch, M and Rowen, L. Supertropical linear algebra, preprint 2010. Available at arXiv:1008.0025View all references, this article investigates finer points of supertropical vector spaces, including dual bases and bilinear forms, with supertropical versions of standard classical results such as the Gram-Schmidt theorem and Cauchy-Schwartz inequality, and change of base. We also present the supertropical version of quadratic forms, and see how they correspond to symmetric supertropical bilinear forms.View full textDownload full textKeywordstropical algebra, vector space, linear algebra, d-base, s-base, dual base, change of base semirings, bilinear formAMS Subject Classifications:Primary: 15A03, 15A09, 15A15, 16Y60, Secondary: 14T05, 15A33, 20M18, 51M20Related var addthis_config = { ui_cobrand: "Taylor & Francis Online", services_compact: "citeulike,netvibes,twitter,technorati,delicious,linkedin,facebook,stumbleupon,digg,google,more", pubid: "ra-4dff56cd6bb1830b" }; Add to shortlist Link Permalink http://dx.doi.org/10.1080/03081087.2012.676045