Rigorous Global Search: Continuous Problems by R. Baker KearfottRigorous Global Search: Continuous Problems by R. Baker Kearfott

Rigorous Global Search: Continuous Problems

byR. Baker Kearfott

Paperback | December 3, 2010

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The book provides a self-contained introduction to underlying techniques, as well as a compendium of theory and a guide to the author's Fortran 90 software for nonlinear algebraic systems and global, constrained optimization with automatic result verification. Besides introductory and survey material, the book contains unique research results. The book also contains non-traditional ideas concerning non-smooth optimization. Thus, the book should be a valuable reference to applied mathematicians and computational scientists and engineers. With numerous examples and exercises, as well as leads for future research, the book can be used as a graduate text or reference on interval arithmetic, automatic differentiation and interval fixed point theory. The book can also serve as a user's guide for the nonlinear equations and optimization software, available free of charge from the author, for the author's general Fortran 90 interval arithmetic package, or for the associated automatic differentiation package. Audience: Researchers in operations research, numerical analysis, computational chemistry, computer-aided geometric design and computational geometry, robot kinematics, remote sensing. Also suitable for graduate and topics courses in numerical analysis, optimization, and operations research.
Title:Rigorous Global Search: Continuous ProblemsFormat:PaperbackDimensions:278 pages, 9.25 × 6.1 × 0 inPublished:December 3, 2010Publisher:Springer USLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:1441947620

ISBN - 13:9781441947628

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Table of Contents

List of Figures. List of Tables. Preface. 1. Preliminaries. 2. Software Environments. 3. On Preconditioning. 4. Verified Solution of Nonlinear Systems. 5. Optimization. 6. Non-Differentiable Problems. 7. Use of Intermediate Quantities in the Expression Values. References. Index.