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» Complexity of the Cover Polynomial
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MOC
1998
92views more  MOC 1998»
13 years 9 months ago
Perturbing polynomials with all their roots on the unit circle
Given a monic real polynomial with all its roots on the unit circle, we ask to what extent one can perturb its middle coefficient and still have a polynomial with all its roots on ...
Michael J. Mossinghoff, Christopher G. Pinner, Jef...
DLT
2007
13 years 11 months ago
Inapproximability of Nondeterministic State and Transition Complexity Assuming P=!NP
Abstract. Inapproximability results concerning minimization of nondeterministic finite automata relative to given deterministic finite automata were obtained only recently, modul...
Hermann Gruber, Markus Holzer
FOCM
2010
111views more  FOCM 2010»
13 years 7 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
CORR
2010
Springer
80views Education» more  CORR 2010»
13 years 10 months ago
New Set of Codes for the Maximum-Likelihood Decoding Problem
The maximum-likelihood decoding problem is known to be NP-hard for general linear and Reed-Solomon codes [1, 4]. In this paper, we introduce the notion of A-covered codes, that is...
Morgan Barbier
CIE
2009
Springer
14 years 4 months ago
On Generating Independent Random Strings
It is shown that from two strings that are partially random and independent (in the sense of Kolmogorov complexity) it is possible to effectively construct polynomially many strin...
Marius Zimand