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» The Complexity of the Annihilating Polynomial
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JSC
2007
106views more  JSC 2007»
15 years 14 days 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
86
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SODA
2010
ACM
143views Algorithms» more  SODA 2010»
14 years 11 months ago
Thin Partitions: Isoperimetric Inequalities and a Sampling Algorithm for Star Shaped Bodies
Star-shaped bodies are an important nonconvex generalization of convex bodies (e.g., linear programming with violations). Here we present an efficient algorithm for sampling a giv...
Karthekeyan Chandrasekaran, Daniel Dadush, Santosh...
114
Voted
CPM
2008
Springer
154views Combinatorics» more  CPM 2008»
15 years 2 months ago
Fixed Parameter Tractable Alignment of RNA Structures Including Arbitrary Pseudoknots
We present an algorithm for computing the edit distance of two RNA structures with arbitrary kinds of pseudoknots. A main benefit of the algorithm is that, despite the problem is N...
Mathias Möhl, Sebastian Will, Rolf Backofen
95
Voted
CORR
2007
Springer
124views Education» more  CORR 2007»
15 years 17 days ago
Interpolation in Valiant's theory
We investigate the following question: if a polynomial can be evaluated at rational points by a polynomial-time boolean algorithm, does it have a polynomial-size arithmetic circuit...
Pascal Koiran, Sylvain Perifel
JC
2000
138views more  JC 2000»
15 years 11 days ago
Multivariate Polynomials, Duality, and Structured Matrices
We rst review thebasic properties of the well knownclasses of Toeplitz, Hankel, Vandermonde, and other related structured matrices and reexamine their correlation to operations wi...
Bernard Mourrain, Victor Y. Pan