Dynamics of Algorithms

Dynamics of Algorithms by Rafael de la Llave is a scholarly work published by Springer New York on October 23, 2012. This softcover reprint of the original first edition from 2000 spans 145 pages and is presented in English. The book compiles articles from the IMA workshop on “Dynamics of Algorithms,” held in November 1997, which was part of the IMA program focusing on the emerging applications of dynamical systems.
Readers will find a detailed exploration of the interplay between algorithms and dynamical systems, highlighting how dynamical methods can enhance the study of algorithms that are applied repeatedly. The text discusses key concepts such as convergence and asymptotic rates, which are essential dynamical properties. Additionally, it addresses how the study of dynamical systems can greatly benefit from efficient algorithms designed to compute various dynamical objects, making this volume a significant contribution to the fields of mathematics and discrete mathematics.
Official synopsis Publisher
The articles collected in this volume represent the contributions presented at the IMA workshop on “Dynamics of Algorithms” which took place in November 1997. The workshop was an integral part of the 1997 -98 IMA program on “Emerging Applications of Dynamical Systems.” The interaction between algorithms and dynamical systems is mutually beneficial since dynamical methods can be used to study algorithms that are applied repeatedly. Convergence, asymptotic rates are indeed dynamical properties. On the other hand, the study of dynamical systems benefits enormously from having efficient algorithms to compute dynamical objects.
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