Review
I wholeheartedly endorse this important new volume, and recommend its serious study by all who are concerned with global optimization.
Ramon Moore, Professor Emeritus of Computer and Information Science, Department of Mathematics, The Ohio State University, Columbus, U.S.A.
Product Description
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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Inside This Book Citations: This book cites 59 books Explore: Citations | Books on Related Topics | Concordance | Text Stats Key Phrases - SIPs: hull consistency, noninterval case, exact interval arithmetic, finite interval system, upper trapezoidal form (more) Key Phrases - CAPs: Van Hentenryck Browse Sample Pages: Front Cover | Copyright | Table of Contents | Excerpt | Index | Back Cover | Surprise Me! |
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Inside This Book
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First Sentence:
In mathematics, there are real numbers, a real arithmetic for combining them, and a real analysis for studying the properties of the numbers and the arithmetic. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
hull consistency, noninterval case, exact interval arithmetic, finite interval system, upper trapezoidal form, delete subboxes, noninterval algorithms, finite interval arithmetic, generalized interval arithmetic, inclusion isotonic, noninterval methods, interval linear equations, box consistency, secondary pivot, new subboxes, rounded interval arithmetic, extended interval arithmetic, hull method, linearization test, smallest box containing, nonexistence test, exact hull, dependent subtraction, precision interval arithmetic, primary pivot Key Phrases - Capitalized Phrases (CAPs): (
In mathematics, there are real numbers, a real arithmetic for combining them, and a real analysis for studying the properties of the numbers and the arithmetic. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
hull consistency, noninterval case, exact interval arithmetic, finite interval system, upper trapezoidal form, delete subboxes, noninterval algorithms, finite interval arithmetic, generalized interval arithmetic, inclusion isotonic, noninterval methods, interval linear equations, box consistency, secondary pivot, new subboxes, rounded interval arithmetic, extended interval arithmetic, hull method, linearization test, smallest box containing, nonexistence test, exact hull, dependent subtraction, precision interval arithmetic, primary pivot Key Phrases - Capitalized Phrases (CAPs): (