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» On the Complexity of Real Root Isolation
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JUCS
2007
88views more  JUCS 2007»
14 years 10 months ago
A Comparison of Various Methods for Computing Bounds for Positive Roots of Polynomials
Abstract: The recent interest in isolating real roots of polynomials has revived interest in computing sharp upper bounds on the values of the positive roots of polynomials. Until ...
Alkiviadis G. Akritas, Panagiotis S. Vigklas
CDC
2010
IEEE
118views Control Systems» more  CDC 2010»
14 years 5 months ago
Explicit solutions for root optimization of a polynomial family
Abstract-- Given a family of real or complex monic polynomials of fixed degree with one fixed affine constraint on their coefficients, consider the problem of minimizing the root r...
Vincent D. Blondel, Mert Gurbuzbalaban, Alexandre ...
AISC
2006
Springer
15 years 1 months ago
An Algorithm for Computing the Complete Root Classification of a Parametric Polynomial
Abstract. The Complete Root Classification for a univariate polynomial with symbolic coefficients is the collection of all the possible cases of its root classification, together w...
Songxin Liang, David J. Jeffrey
NA
2010
144views more  NA 2010»
14 years 8 months ago
A binary powering Schur algorithm for computing primary matrix roots
An algorithm for computing primary roots of a nonsingular matrix A is presented. In particular, it computes the principal root of a real matrix having no nonpositive real eigenvalu...
Federico Greco, Bruno Iannazzo
INFOCOM
2010
IEEE
14 years 8 months ago
URCA: Pulling out Anomalies by their Root Causes
—Traffic anomaly detection has received a lot of attention over recent years, but understanding the nature of these anomalies and identifying the flows involved is still a manu...
Fernando Silveira, Christophe Diot