Foreword Dear colleagues, In 1994, the Editorial Board of the International Journal Reliable Computing decid- ed to publish, on a regular basis, special issues with high-quality papers written by students (either alone, or in co-authorship with their professors). The first two special student issues were published in 1995 and 1996, and we are happy to present the third one. Papers from this issue cover various topics ranging from general numerical methods and results to specific applications to generalizations of interval computa- tions. General numerical methods. A. R. Hungerbuhler ¨ and B. J. Garloff present new methods for range estimation, namely, for estimating the range of a bivariate poly- nomial over a triangle. H. Zhenyu presents new optimization techniques:an inter- val entropy penalty method for constrained nonlinear global optimization. C. Hu, A. Cardenas, S. Hoogendoorn, and P. Sepulveda Jr. present a new interval interpo- lation method based on Lagrange interpolation technique. M. Beltran, G. Castillo, and V. Kreinovich describe how to modify an interval algorithm so that it will still produce a solution (maybe not optimal) even when interrupted. Applications. Two papers deal with application to control: D. Morales and T. C. Son apply interval methods to robot navigation (with award-winning Reliable Computing Springer Journals

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Kluwer Academic Publishers
Copyright © 1998 by Kluwer Academic Publishers
Mathematics; Numeric Computing; Approximations and Expansions; Computational Mathematics and Numerical Analysis; Mathematical Modeling and Industrial Mathematics
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