Description
Book Synopsis: At the core of many engineering problems is the solution of sets of equa tions and inequalities, and the optimization of cost functions. Unfortunately, except in special cases, such as when a set of equations is linear in its un knowns or when a convex cost function has to be minimized under convex constraints, the results obtained by conventional numerical methods are only local and cannot be guaranteed. This means, for example, that the actual global minimum of a cost function may not be reached, or that some global minimizers of this cost function may escape detection. By contrast, interval analysis makes it possible to obtain guaranteed approximations of the set of all the actual solutions of the problem being considered. This, together with the lack of books presenting interval techniques in such a way that they could become part of any engineering numerical tool kit, motivated the writing of this book. The adventure started in 1991 with the preparation by Luc Jaulin of his PhD thesis, under Eric Walter's supervision. It continued with their joint supervision of Olivier Didrit's and Michel Kieffer's PhD theses. More than two years ago, when we presented our book project to Springer, we naively thought that redaction would be a simple matter, given what had already been achieved . . .
Details
Are you tired of conventional numerical methods that only provide local results and cannot guarantee the actual global minimum of a cost function? Look no further than the Applied Interval Analysis Book. This comprehensive guide is designed to help engineers and professionals solve sets of equations and inequalities with guaranteed approximations. Say goodbye to uncertainty and hello to reliable solutions.
What sets the Applied Interval Analysis Book apart is its unique approach to interval techniques. With clear explanations and practical examples, this book equips you with the tools you need to confidently tackle any engineering problem. Whether you're dealing with linear equations or convex cost functions, interval analysis ensures you'll reach the global minimum and detect all relevant minimizers. It's time to take your numerical tool kit to the next level.
Don't miss out on this invaluable resource for engineering professionals. Written by leading experts Luc Jaulin, Eric Walter, Olivier Didrit, and Michel Kieffer, this book is a culmination of years of research and experience. Get your hands on the Applied Interval Analysis Book today and unlock the power of guaranteed solutions.
Ready to revolutionize your problem-solving capabilities? Don't wait any longer. Take the first step towards success by grabbing your copy of the Applied Interval Analysis Book now. Discover the world of interval techniques and never settle for local results again. Click here to order your copy today!
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