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» Algorithms for trigonometric polynomials
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79
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CAGD
2007
75views more  CAGD 2007»
15 years 23 days ago
Computing roots of polynomials by quadratic clipping
We present an algorithm which is able to compute all roots of a given univariate polynomial within a given interval. In each step, we use degree reduction to generate a strip boun...
Michael Barton, Bert Jüttler
83
Voted
JSC
2006
85views more  JSC 2006»
15 years 21 days ago
Fraction-free row reduction of matrices of Ore polynomials
In this paper we give formulas for performing row reduction of a matrix of Ore polynomials in a fraction-free way. The reductions can be used for finding the rank and left nullspa...
Bernhard Beckermann, Howard Cheng, George Labahn
SODA
2012
ACM
218views Algorithms» more  SODA 2012»
13 years 3 months ago
Linear kernels for (connected) dominating set on H-minor-free graphs
We give the first linear kernels for DOMINATING SET and CONNECTED DOMINATING SET problems on graphs excluding a fixed graph H as a minor. In other words, we give polynomial time...
Fedor V. Fomin, Daniel Lokshtanov, Saket Saurabh, ...
115
Voted
MST
2011
231views Hardware» more  MST 2011»
14 years 3 months ago
On the Complexity of Matroid Isomorphism Problem
We study the complexity of testing if two given matroids are isomorphic. The problem is easily seen to be in Σ p 2. In the case of linear matroids, which are represented over pol...
B. V. Raghavendra Rao, Jayalal M. N. Sarma
108
Voted
FOCS
1992
IEEE
15 years 4 months ago
Maximizing Non-Linear Concave Functions in Fixed Dimension
Consider a convex set P in IRd and a piecewise polynomial concave function F: P IR. Let A be an algorithm that given a point x IRd computes F(x) if x P, or returns a concave po...
Sivan Toledo