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ISSAC
2007
Springer
94views Mathematics» more  ISSAC 2007»
13 years 11 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
IJAR
2006
103views more  IJAR 2006»
13 years 5 months ago
Computing mean and variance under Dempster-Shafer uncertainty: Towards faster algorithms
In many real-life situations, we only have partial information about the actual probability distribution. For example, under Dempster-Shafer uncertainty, we only know the masses m...
Vladik Kreinovich, Gang Xiang, Scott Ferson
CORR
1998
Springer
105views Education» more  CORR 1998»
13 years 5 months ago
Solving Degenerate Sparse Polynomial Systems Faster
Abstract. Consider a system F of n polynomial equations in n unknowns, over an algebraically closed field of arbitrary characteristic. We present a fast method to find a point in...
J. Maurice Rojas
CORR
2010
Springer
152views Education» more  CORR 2010»
13 years 5 months ago
A Faster Algorithm for Quasi-convex Integer Polynomial Optimization
We present a faster exponential-time algorithm for integer optimization over quasi-convex polynomials. We study the minimization of a quasiconvex polynomial subject to s quasi-con...
Robert Hildebrand, Matthias Köppe