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» On the Convergence of Immune Algorithms
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STOC
2007
ACM
132views Algorithms» more  STOC 2007»
16 years 4 days 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»
14 years 12 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»
14 years 6 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
15 years 6 months 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»
14 years 10 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