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ISAAC
2004
Springer
102views Algorithms» more  ISAAC 2004»
15 years 9 months ago
Polynomial Deterministic Rendezvous in Arbitrary Graphs
Abstract. The rendezvous problem in graphs has been extensively studied in the literature, mainly using a randomized approach. Two mobile agents have to meet at some node of a conn...
Dariusz R. Kowalski, Andrzej Pelc
ISSAC
2009
Springer
150views Mathematics» more  ISSAC 2009»
15 years 10 months 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...
JSC
2008
162views more  JSC 2008»
15 years 3 months ago
Approximate factorization of multivariate polynomials using singular value decomposition
We describe the design, implementation and experimental evaluation of new algorithms for computing the approximate factorization of multivariate polynomials with complex coefficie...
Erich Kaltofen, John P. May, Zhengfeng Yang, Lihon...
ISSAC
2009
Springer
167views Mathematics» more  ISSAC 2009»
15 years 10 months ago
High order derivatives and decomposition of multivariate polynomials
In this paper, we present an improved method for decomposing multivariate polynomials. This problem, also known as the Functional Decomposition Problem (FDP) [17, 9, 27], is class...
Jean-Charles Faugère, Ludovic Perret
FOCS
1991
IEEE
15 years 7 months ago
Computing Sums of Radicals in Polynomial Time
For sums of radicals Pk i=1 i di p i, where i; i are elements of some real algebraic number eld Q( ); di p i 2 R; we present a deterministic polynomial time algorithm to decide wh...
Johannes Blömer