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» On the Convergence of Immune Algorithms
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STOC
2007
ACM
132views Algorithms» more  STOC 2007»
16 years 6 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...
CORR
2010
Springer
66views Education» more  CORR 2010»
15 years 6 months ago
Computing the speed of convergence of ergodic averages and pseudorandom points in computable dynamical systems
A pseudorandom point in an ergodic dynamical system over a computable metric space is a point which is computable but its dynamics has the same statistical behavior of a typical po...
Stefano Galatolo, Mathieu Hoyrup, Cristobal Rojas
CDC
2010
IEEE
173views Control Systems» more  CDC 2010»
15 years 1 months ago
Corrective consensus: Converging to the exact average
Consensus algorithms provide an elegant distributed way for computing the average of a set of measurements across a sensor network. However, the convergence of the node estimates t...
Yin Chen, Roberto Tron, Andreas Terzis, René...
ICDCN
2009
Springer
16 years 26 days ago
Byzantine-Resilient Convergence in Oblivious Robot Networks
Given a set of robots with arbitrary initial location and no agreement on a global coordinate system, convergence requires that all robots asymptotically approach the exact same, ...
Zohir Bouzid, Maria Gradinariu Potop-Butucaru, S&e...
NA
2010
118views more  NA 2010»
15 years 4 months ago
Practical Quasi-Newton algorithms for singular nonlinear systems
Quasi-Newton methods for solving singular systems of nonlinear equations are considered in this paper. Singular roots cause a number of problems in implementation of iterative met...
Sandra Buhmiler, Natasa Krejic, Zorana Luzanin