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» Algorithms for trigonometric polynomials
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121
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SODA
2010
ACM
133views Algorithms» more  SODA 2010»
16 years 1 months ago
Testing additive integrality gaps
We consider the problem of testing whether the maximum additive integrality gap of a family of integer programs in standard form is bounded by a given constant. This can be viewed...
Friedrich Eisenbrand, Nicolai Hähnle, Dömötör ...
WADS
2009
Springer
226views Algorithms» more  WADS 2009»
15 years 10 months ago
Integer Programming: Optimization and Evaluation Are Equivalent
Abstract We show that if one can find the optimal value of an integer programming problem min{cx : Ax ≥ b, x ∈ Zn +} in polynomial time, then one can find an optimal solution...
James B. Orlin, Abraham P. Punnen, Andreas S. Schu...
120
Voted
FOCS
2008
IEEE
15 years 10 months ago
Fast Modular Composition in any Characteristic
We give an algorithm for modular composition of degree n univariate polynomials over a finite field Fq requiring n1+o(1) log1+o(1) q bit operations; this had earlier been achiev...
Kiran S. Kedlaya, Christopher Umans
COCO
1993
Springer
78views Algorithms» more  COCO 1993»
15 years 8 months ago
The Quantitative Structure of Exponential Time
Recently Lutz [14,15] introduced a polynomial time bounded version of Lebesgue measure. He and others (see e.g. [11,13,14,15,16,17,18,20]) used this concept to investigate the quan...
Jack H. Lutz
JSC
2007
106views more  JSC 2007»
15 years 3 months ago
Computing multihomogeneous resultants using straight-line programs
We present a new algorithm for the computation of resultants associated with multihomogeneous (and, in particular, homogeneous) polynomial equation systems using straight-line pro...
Gabriela Jeronimo, Juan Sabia