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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