Lethbridge Number Theory and Combinatorics Seminar
- Date: 02/03/2014
- Time: 12:00
David Roe, University of Calgary
University of Lethbridge
Numerical Methods in p-adic Linear Algebra
Standard numerical methods focus on algorithms for matrices over the real and complex numbers: finding singular value decompositions, eigenvalues and eigenvectors, QR and LU decompositions. Many of the same questions make sense for non-archimedian local fields, and some methods carry over. Moreover, the ultrametric properties of p-adic arithmetic allow for much better tracking of precision than in the real and complex cases. This is a report on early stages of joint work with Xavier Caruso, Tristan Vaccon, Jen Balakrishnan and Kiran Kedlaya.
Web page: http://www.cs.uleth.ca/~nathanng/ntcoseminar/