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STOC
2007
ACM
132views Algorithms» more  STOC 2007»
14 years 7 months ago
On the convergence of Newton's method for monotone systems of polynomial equations
Monotone systems of polynomial equations (MSPEs) are systems of fixed-point equations X1 = f1(X1, . . . , Xn), . . . , Xn = fn(X1, . . . , Xn) where each fi is a polynomial with p...
Stefan Kiefer, Michael Luttenberger, Javier Esparz...
FOCS
2002
IEEE
14 years 10 days ago
Linear Diophantine Equations over Polynomials and Soft Decoding of Reed-Solomon Codes
Abstract—This paper generalizes the classical Knuth–Schönhage algorithm computing the greatest common divisor (gcd) of two polynomials for solving arbitrary linear Diophantine...
Michael Alekhnovich
CASC
2007
Springer
114views Mathematics» more  CASC 2007»
13 years 11 months ago
Analytic Solutions of Linear Difference Equations, Formal Series, and Bottom Summation
We consider summation of consecutive values (v), (v +1), . . . , (w) of a meromorphic function (z) where v, w ZZ. We assume that (z) satisfies a linear difference equation L(y) = ...
Sergei A. Abramov, Marko Petkovsek
COLT
1999
Springer
13 years 11 months ago
An Adaptive Version of the Boost by Majority Algorithm
We propose a new boosting algorithm. This boosting algorithm is an adaptive version of the boost by majority algorithm and combines bounded goals of the boost by majority algorith...
Yoav Freund
EUROPAR
2001
Springer
13 years 12 months ago
Polynomial Preconditioning for Specially Structured Linear Systems of Equations
For the solution of the SID (Symmetric InDefinite) linear systems, the use of the GLS (Generalized Least-Squares) polynomial preconditioner can improve the execution efficiency of...
Y. Liang, Jim Weston, Marek Szularz