Nonlinear Equations - UFRJ
Nonlinear Equations - UFRJ
Nonlinear Equations - UFRJ
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Appendix A<br />
Open Problems, by<br />
Carlos Beltrán,<br />
Jean-Pierre Dedieu,<br />
Luis Miguel Pardo and<br />
Mike Shub<br />
A.1 Stability and complexity of numerical<br />
computations<br />
Let us cite the first lines of the book [20]:<br />
“The classical theory of computation had its origin in work of logicians<br />
(...) in the 1930’s. The model of computation that developed<br />
in the following decades, the Turing machine has been extraordinarily<br />
successful in giving the foundations and framework for theoretical<br />
computer science. The point of view of this book is that the Turing<br />
model (we call it “classical”) with its dependence on 0’s and 1’s is<br />
fundamentally inadequate for giving such a foundation to the theory<br />
157
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