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Volume 7,  Issue 4
2000


Interval Plotting and Global Optimization, Part 2

ROMAN MAEDER
Roman Maeder

Interval arithmetic provides a way of extending the action of elementary functions from points to intervals. It uses directional rounding to assure that for a point x and an interval i, f(x) lies in f(i) whenever x lies in i. It is closely related to Mathematica's ordinary arbitrary-precision arithmetic but its emphasis is on obtaining global results, not on high-precision computation. Two applications, interval plots and global minimization, show some of the results obtainable with interval arithmetic. Along the way, we encounter various data structures for stacks and priority queues. The first part of this paper can be found in The Mathematica Journal Vol. 7, Issue 3.

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    Additional Material

The Mathematica Programmer is an ongoing series of articles about various programming topics. Earlier articles in this series are available in expanded and updated form in two books, The Mathematica Programmer and The Mathematica Programmer II.

MathConsult Dr. R. Maeder
Samstagernstrasse 58a
8832 Wollerau, Switzerland
maeder@mathconsult.ch
www.mathconsult.ch