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» Efficient computation of the characteristic polynomial
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ISSAC
2007
Springer
94views Mathematics» more  ISSAC 2007»
16 years 4 days 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
15 years 28 days 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
15 years 11 months 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
16 years 13 days 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»
16 years 16 days 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