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» The Complexity of the Annihilating Polynomial
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STOC
2010
ACM
224views Algorithms» more  STOC 2010»
15 years 4 months ago
Satisfiability Allows No Nontrivial Sparsification Unless The Polynomial-Time Hierarchy Collapses
Consider the following two-player communication process to decide a language L: The first player holds the entire input x but is polynomially bounded; the second player is computa...
Holger Dell and Dieter van Melkebeek
101
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TON
2008
119views more  TON 2008»
15 years 15 days ago
Polynomial time approximation algorithms for multi-constrained QoS routing
We study the multi-constrained Quality-of-Service (QoS) routing problem where one seeks to find a path from a source to a destination in the presence of K 2 additive end-to-end Qo...
Guoliang Xue, Weiyi Zhang, Jian Tang, Krishnaiyan ...
121
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SIAMMAX
2011
180views more  SIAMMAX 2011»
14 years 7 months ago
Computing Characteristic Polynomials from Eigenvalues
Abstract. This paper concerns the computation of the coefficients ck of the characteristic polynomial of a real or complex matrix A. We analyze the forward error in the coefficient...
Rizwana Rehman, Ilse C. F. Ipsen
STOC
2006
ACM
108views Algorithms» more  STOC 2006»
16 years 27 days ago
Extractors for a constant number of polynomially small min-entropy independent sources
We consider the problem of randomness extraction from independent sources. We construct an extractor that can extract from a constant number of independent sources of length n, ea...
Anup Rao
110
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ISSAC
1997
Springer
142views Mathematics» more  ISSAC 1997»
15 years 4 months ago
The Structure of Sparse Resultant Matrices
Resultants characterize the existence of roots of systems of multivariate nonlinear polynomial equations, while their matrices reduce the computation of all common zeros to a prob...
Ioannis Z. Emiris, Victor Y. Pan