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» Efficient computation of the characteristic polynomial
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ISSAC
2007
Springer
94views Mathematics» more  ISSAC 2007»
14 years 1 months ago
Faster algorithms for the characteristic polynomial
A new randomized algorithm is presented for computing the characteristic polynomial of an n × n matrix over a field. Over a sufficiently large field the asymptotic expected com...
Clément Pernet, Arne Storjohann
TCS
2011
13 years 2 months ago
Dynamic normal forms and dynamic characteristic polynomial
Abstract. We present the first fully dynamic algorithm for computing the characteristic polynomial of a matrix. In the generic symmetric case our algorithm supports rank-one updat...
Gudmund Skovbjerg Frandsen, Piotr Sankowski
INFOCOM
2002
IEEE
14 years 12 days ago
Fast PDA Synchronization Using Characteristic Polynomial Interpolation
—Modern Personal Digital Assistant (PDA) architectures often utilize a wholesale data transfer protocol known as “slow sync” for synchronizing PDAs with Personal Computers (P...
Ari Trachtenberg, David Starobinski, Sachin Agarwa...
FOCS
2008
IEEE
14 years 1 months ago
Fast Modular Composition in any Characteristic
We give an algorithm for modular composition of degree n univariate polynomials over a finite field Fq requiring n1+o(1) log1+o(1) q bit operations; this had earlier been achiev...
Kiran S. Kedlaya, Christopher Umans
ISSAC
2009
Springer
147views Mathematics» more  ISSAC 2009»
14 years 2 months ago
Fast algorithms for differential equations in positive characteristic
We address complexity issues for linear differential equations in characteristic p > 0: resolution and computation of the p-curvature. For these tasks, our main focus is on al...
Alin Bostan, Éric Schost