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On the rate of convergence to the neutral attractor of a family of one-dimensional maps

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Nowicki T., Sviridenko M., Świrszcz G., Winograd S.

Fundamenta Mathematicae

2009

tom 206

nr 1

253-269

For a family of maps $f_{d}(p) = 1 - (1-p/d)^{d}$, d ∈ [2,∞], p ∈ [0,1]. we analyze the speed of convergence (including constants) to the globally attracting neutral fixed point p = 0. The study is motivated by a problem in the optimization of routing. The aim of this paper is twofold: (1) to extend the usage of dynamical systems to unexplored areas of algorithms and (2) to provide a toolbox for a precise analysis of the iterates near a non-degenerate neutral fixed point.

Ograniczanie wyników

1 Fundamenta Mathematicae

1 Nowicki T.

1 Sviridenko M.

1 Winograd S.

1 Świrszcz G.

1 2009

Wyniki wyszukiwania

On the rate of convergence to the neutral attractor of a family of one-dimensional maps