Forst W., Hoffmann D. Springer Science+Business Media, LLC, 2010. - 402 p. ISBN: 0387789766 Optimization is a field important in its own right but is also integral to numerous applied sciences, including operations research, management science, economics, finance and all branches of mathematics-oriented engineering. Constrained optimization models are one of the most widely used mathematical models in operations research and management science. This book gives a modern and well-balanced presentation of the subject, focusing on theory but also including algorithims and examples from various real-world applications. The text is easy to read and accessible to anyone with a knowledge of multi-dimensional calculus, linear algebra and basic numerical methods. Detailed examples and counter-examples are providedas are exercises, solutions and helpful hints, and MatLAB/Maple supplements. The intended readership is advanced undergraduates, graduates, and professionals in any of the applied fields.
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Springer, 2007. — 675 p. The rapid advancements in the efficiency of digital computers and the evolution of reliable software for numerical computation during the past three decades have led to an astonishing growth in the theory, methods, and algorithms of numerical optimization. This body of knowledge has, in turn, motivated widespread applications of optimization methods in...
Cambridge University Press, 2006. – 786 p. – 180 b/w illus., 369 exercises – ISBN: 0521855640, 9780521855648. The starting point in the formulation of any numerical problem is to take an intuitive idea about the problem in question and to translate it into precise mathematical language. This book provides step-by-step descriptions of how to formulate numerical problems so that...
Springer; 2008 edition (July 31, 2008). - 296 p. ISBN10: 0387787224 This textbook examines a broad range of problems in science and engineering, describing key numerical methods applied to real life. The case studies presented are in such areas as data fitting, vehicle route planning and optimal control, scheduling and resource allocation, sensitivity calculations and...
Berlin, Heidelberg: Springer-Verlag, 2006, 494 p. 52 illus.
2nd ed.
As in its first edition, this book starts with illustrations of the ubiquitous character of optimization, and describes numerical algorithms in a tutorial way. It covers fundamental algorithms as well as more specialized and advanced topics for unconstrained and constrained problems.
Most of the algorithms...
Elsevier Science Ltd, 1978. - 308 p. ISBN: 0444002634. This book's philosophy differs from most others written on numerical methods or numerical analysis. In a typical numerical-analysis text, much time is spent on error analysis. However, in practical applications, usually little time is devoted to rigorous error analysis. Instead of relying solely on error analysis to...
Springer; 1st edition (August 25, 2010). - 458 p. ISBN10: 0387344314. The book gives a detailed and rigorous treatment of the theory of optimization (unconstrained optimization, nonlinear programming, semi-infinite programming, etc.) in finite-dimensional spaces. The fundamental results of convexity theory and the theory of duality in nonlinear programming and the theories of...