Abstract
Continuing 4, 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.
| Original language | English |
|---|---|
| Pages (from-to) | 865-883 |
| Number of pages | 19 |
| Journal | Linear and Multilinear Algebra |
| Volume | 60 |
| Issue number | 7 |
| DOIs | |
| State | Published - Jul 2012 |
| Externally published | Yes |
Keywords
- bilinear form
- change of base semirings
- d-base
- dual base
- linear algebra
- s-base
- tropical algebra
- vector space