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DCC
2008
IEEE
16 years 8 days ago
Probabilistic algorithm for finding roots of linearized polynomials
A probabilistic algorithm is presented for finding a basis of the root space of a linearized polynomial L(x) = t i=0 Lixqi over Fqn . The expected time complexity of the presented ...
Vitaly Skachek, Ron M. Roth
97
Voted
MP
2006
113views more  MP 2006»
15 years 19 days ago
A class of polynomially solvable linear complementarity problems
Although the general linear complementarity problem (LCP) is NP-complete, there are special classes that can be solved in polynomial time. One example is the type where the definin...
Teresa H. Chu
FOCM
2010
111views more  FOCM 2010»
14 years 10 months ago
A Note on the Finite Variance of the Averaging Function for Polynomial System Solving
In [BP08], the average complexity of linear homotopy methods to solve polynomial equations with random initial input (in a sense to be described below) was proven to be finite, an...
Carlos Beltrán, Michael Shub
ICTCS
2005
Springer
15 years 6 months ago
Improved Algorithms for Polynomial-Time Decay and Time-Decay with Additive Error
Abstract. We consider the problem of maintaining polynomial and exponential decay aggregates of a data stream, where the weight of values seen from the stream diminishes as time el...
Tsvi Kopelowitz, Ely Porat
EMO
2005
Springer
175views Optimization» more  EMO 2005»
15 years 6 months ago
A New Analysis of the LebMeasure Algorithm for Calculating Hypervolume
We present a new analysis of the LebMeasure algorithm for calculating hypervolume. We prove that although it is polynomial in the number of points, LebMeasure is exponential in the...
R. Lyndon While