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» Efficient computation of the characteristic polynomial
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ISSAC
2005
Springer
115views Mathematics» more  ISSAC 2005»
14 years 1 months ago
On the complexity of factoring bivariate supersparse (Lacunary) polynomials
We present algorithms that compute the linear and quadratic factors of supersparse (lacunary) bivariate polynomials over the rational numbers in polynomial-time in the input size....
Erich Kaltofen, Pascal Koiran
CIC
2004
13 years 9 months ago
Dynamic Characteristics of k-ary n-cube Networks for Real-time Communication
Overlay topologies are now popular with many emerging peer-to-peer (P2P) systems, to efficiently locate and retrieve information. In contrast, the focus of this work is to use ove...
Gerald Fry, Richard West
ATVA
2006
Springer
106views Hardware» more  ATVA 2006»
13 years 11 months ago
Efficient Algorithms for Alternating Pushdown Systems with an Application to the Computation of Certificate Chains
Motivated by recent applications of pushdown systems to computer security problems, we present an efficient algorithm for the reachability problem of alternating pushdown systems. ...
Dejvuth Suwimonteerabuth, Stefan Schwoon, Javier E...
ECCC
1998
117views more  ECCC 1998»
13 years 7 months ago
Determinant: Old Algorithms, New Insights
In this paper we approach the problem of computing the characteristic polynomial of a matrix from the combinatorial viewpoint. We present several combinatorial characterizations of...
Meena Mahajan, V. Vinay
COMBINATORICS
2004
106views more  COMBINATORICS 2004»
13 years 7 months ago
Random Matrices, Magic Squares and Matching Polynomials
Characteristic polynomials of random unitary matrices have been intensively studied in recent years: by number theorists in connection with Riemann zetafunction, and by theoretica...
Persi Diaconis, Alexander Gamburd