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» Faster algorithms for the characteristic polynomial
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ESA
2008
Springer
101views Algorithms» more  ESA 2008»
13 years 8 months ago
Faster Steiner Tree Computation in Polynomial-Space
Given an n-node graph and a subset of k terminal nodes, the NP-hard Steiner tree problem is to compute a minimum-size tree which spans the terminals. All the known algorithms for t...
Fedor V. Fomin, Fabrizio Grandoni, Dieter Kratsch
ISSAC
2009
Springer
147views Mathematics» more  ISSAC 2009»
14 years 21 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
CORR
2006
Springer
69views Education» more  CORR 2006»
13 years 6 months ago
Bounds on the coefficients of the characteristic and minimal polynomials
ABSTRACT. This note presents absolute bounds on the size of the coefficients of the characteristic and minimal polynomials depending on the size of the coefficients of the associat...
Jean-Guillaume Dumas
TCS
2011
13 years 1 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
ISSAC
2009
Springer
150views Mathematics» more  ISSAC 2009»
14 years 21 days ago
On finding multiplicities of characteristic polynomial factors of black-box matrices
We present algorithms and heuristics to compute the characteristic polynomial of a matrix given its minimal polynomial. The matrix is represented as a black-box, i.e., by a functi...
Jean-Guillaume Dumas, Clément Pernet, B. Da...