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STOC
1998
ACM
111views Algorithms» more  STOC 1998»
15 years 5 months ago
A Deterministic Strongly Polynomial Algorithm for Matrix Scaling and Approximate Permanents
We present a deterministic strongly polynomial algorithm that computes the permanent of a nonnegative n × n matrix to within a multiplicative factor of en. To this end we develop...
Nathan Linial, Alex Samorodnitsky, Avi Wigderson
ISSAC
1998
Springer
101views Mathematics» more  ISSAC 1998»
15 years 5 months ago
Efficient Algorithms for Computing the Nearest Polynomial with Constrained Roots
Continuous changes of the coefficients of a polynomial move the roots continuously. We consider the problem finding the minimal perturbations to the coefficients to move a root to...
Markus A. Hitz, Erich Kaltofen
107
Voted
CASC
2010
Springer
160views Mathematics» more  CASC 2010»
14 years 11 months ago
Factorization of Polynomials and GCD Computations for Finding Universal Denominators
We discuss the algorithms which, given a linear difference equation with rational function coefficients over a field k of characteristic 0, compute a polynomial U(x) ∈ k[x] (a ...
Sergei A. Abramov, A. Gheffar, D. E. Khmelnov
MP
2002
85views more  MP 2002»
15 years 12 days ago
Generalized Goal Programming: polynomial methods and applications
In this paper we address a general Goal Programming problem with linear objectives, convex constraints, and an arbitrary componentwise nondecreasing norm to aggregate deviations w...
Emilio Carrizosa, Jörg Fliege
117
Voted
MICS
2007
100views more  MICS 2007»
15 years 7 days ago
A New Method for Real Root Isolation of Univariate Polynomials
A new algorithm for real root isolation of univariate polynomials is proposed, which is mainly based on exact interval arithmetic and bisection method. Although exact interval arit...
Ting Zhang, Bican Xia