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CORR
2007
Springer
105views Education» more  CORR 2007»
14 years 9 months ago
Relative-Error CUR Matrix Decompositions
Many data analysis applications deal with large matrices and involve approximating the matrix using a small number of “components.” Typically, these components are linear combi...
Petros Drineas, Michael W. Mahoney, S. Muthukrishn...
ISSAC
1995
Springer
119views Mathematics» more  ISSAC 1995»
15 years 1 months ago
The Singular Value Decomposition for Polynomial Systems
This paper introduces singular value decomposition (SVD) algorithms for some standard polynomial computations, in the case where the coefficients are inexact or imperfectly known....
Robert M. Corless, Patrizia M. Gianni, Barry M. Tr...
CASES
2004
ACM
15 years 2 months ago
Analytical computation of Ehrhart polynomials: enabling more compiler analyses and optimizations
Many optimization techniques, including several targeted specifically at embedded systems, depend on the ability to calculate the number of elements that satisfy certain conditio...
Sven Verdoolaege, Rachid Seghir, Kristof Beyls, Vi...
ICALP
2009
Springer
15 years 9 months ago
Factoring Groups Efficiently
We give a polynomial time algorithm that computes a decomposition of a finite group G given in the form of its multiplication table. That is, given G, the algorithm outputs two su...
Neeraj Kayal, Timur Nezhmetdinov
88
Voted
JSC
2008
162views more  JSC 2008»
14 years 9 months ago
Approximate factorization of multivariate polynomials using singular value decomposition
We describe the design, implementation and experimental evaluation of new algorithms for computing the approximate factorization of multivariate polynomials with complex coefficie...
Erich Kaltofen, John P. May, Zhengfeng Yang, Lihon...