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» The Complexity of the Annihilating Polynomial
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FCT
2001
Springer
15 years 2 months ago
Relating Automata-Theoretic Hierarchies to Complexity-Theoretic Hierarchies
We show that some natural refinements of the Straubing and Brzozowski hierarchies correspond (via the so called leaf-languages) step by step to similar refinements of the polynom...
Victor L. Selivanov
CORR
2010
Springer
111views Education» more  CORR 2010»
14 years 10 months ago
Improved complexity bounds for real root isolation using Continued Fractions
We consider the problem of isolating the real roots of a square-free polynomial with integer coefficients using (variants of) the continued fraction algorithm (CF). We introduce a...
Elias P. Tsigaridas
TCS
2008
14 years 9 months ago
On the complexity of real root isolation using continued fractions
We present algorithmic, complexity and implementation results concerning real root isolation of integer univariate polynomials using the continued fraction expansion of real algeb...
Elias P. Tsigaridas, Ioannis Z. Emiris
ISSAC
2007
Springer
94views Mathematics» more  ISSAC 2007»
15 years 4 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
COCOON
2005
Springer
15 years 3 months ago
On the Complexity of the Balanced Vertex Ordering Problem
We consider the problem of finding a balanced ordering of the vertices of a graph. More precisely, we want to minimise the sum, taken over all vertices v, of the difference betwe...
Jan Kára, Jan Kratochvíl, David R. W...