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Employing a closed set-theoretic foundation for interval
computations, Global Optimization Using Interval Analysis
simplifies algorithm construction and increases generality of
interval arithmetic. This Second Edition contains an up-to-date
discussion of interval methods for solving systems of nonlinear
equations and global optimization problems. It expands and improves
various aspects of its forerunner and features significant new
discussions, such as those on the use of consistency methods to
enhance algorithm performance. Provided algorithms are guaranteed
to find and bound all solutions to these problems despite bounded
errors in data, in approximations, and from use of rounded
arithmetic.
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