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Nonlinear programming
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ISBN: 1886529000 9781886529007 Year: 1999 Publisher: Belmont: Athena scientific,

Numerical optimization
Authors: ---
ISBN: 0387987932 9786610010677 1280010673 0387227423 9780387987934 Year: 1999 Publisher: New York (N.Y.): Springer,

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Abstract

This is a book for people interested in solving optimization problems. Because of the wide (and growing) use of optimization in science, engineering, economics, and industry, it is essential for students and practitioners alike to develop an understanding of optimization algorithms. Knowledge of the capabilities and limitations of these algorithms leads to a better understanding of their impact on various applications, and points the way to future research on improving and extending optimization algorithms and software. Our goal in this book is to give a comprehensive description of the most powerful, state-of-the-art, techniques for solving continuous optimization problems. By presenting the motivating ideas for each algorithm, we try to stimulate the reader’s intuition and make the technical details easier to follow. Formal mathematical requirements are kept to a minimum. Because of our focus on continuous problems, we have omitted discussion of important optimization topics such as discrete and stochastic optimization.

Numerical optimization
Authors: ---
ISBN: 9780387400655 9780387303031 0387303030 Year: 2006 Publisher: New York: Springer,

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Numerical Optimization presents a comprehensive and up-to-date description of the most effective methods in continuous optimization. It responds to the growing interest in optimization in engineering, science, and business by focusing on the methods that are best suited to practical problems. For this new edition the book has been thoroughly updated throughout. There are new chapters on nonlinear interior methods and derivative-free methods for optimization, both of which are used widely in practice and the focus of much current research. Because of the emphasis on practical methods, as well as the extensive illustrations and exercises, the book is accessible to a wide audience. It can be used as a graduate text in engineering, operations research, mathematics, computer science, and business. It also serves as a handbook for researchers and practitioners in the field. The authors have strived to produce a text that is pleasant to read, informative, and rigorous - one that reveals both the beautiful nature of the discipline and its practical side.

Numerical Optimization
Authors: ---
ISBN: 0387303030 9780387303031 9780387303031 0387400656 Year: 2006 Publisher: New York, NY : Springer New York : Imprint: Springer,

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Abstract

Numerical Optimization presents a comprehensive and up-to-date description of the most effective methods in continuous optimization. It responds to the growing interest in optimization in engineering, science, and business by focusing on the methods that are best suited to practical problems. For this new edition the book has been thoroughly updated throughout. There are new chapters on nonlinear interior methods and derivative-free methods for optimization, both of which are used widely in practice and the focus of much current research. Because of the emphasis on practical methods, as well as the extensive illustrations and exercises, the book is accessible to a wide audience. It can be used as a graduate text in engineering, operations research, mathematics, computer science, and business. It also serves as a handbook for researchers and practitioners in the field. The authors have strived to produce a text that is pleasant to read, informative, and rigorous - one that reveals both the beautiful nature of the discipline and its practical side.

Keywords

Mathematical optimization --- 519.65 --- 519.853 --- 681.3*G13 --- 681.3*G16 --- Optimization (Mathematics) --- Optimization techniques --- Optimization theory --- Systems optimization --- Mathematical analysis --- Maxima and minima --- Operations research --- Simulation methods --- System analysis --- 681.3*G16 Optimization: constrained optimization; gradient methods; integer programming; least squares methods; linear programming; nonlinear programming (Numericalanalysis) --- Optimization: constrained optimization; gradient methods; integer programming; least squares methods; linear programming; nonlinear programming (Numericalanalysis) --- 519.65 Approximation. Interpolation --- Approximation. Interpolation --- 519.853 Nonlinear programming. Relaxation methods --- Nonlinear programming. Relaxation methods --- Numerical linear algebra: conditioning; determinants; eigenvalues and eigenvectors; error analysis; linear systems; matrix inversion; pseudoinverses; singular value decomposition; sparse, structured, and very large systems (direct and iterative methods) --- Mathematical optimization. --- Basic Sciences. Mathematics --- Numerical Mathematics. --- Mathematical analysis. --- Systems theory. --- Computer science --- Operations research. --- Optimization. --- Calculus of Variations and Optimal Control; Optimization. --- Systems Theory, Control. --- Computational Mathematics and Numerical Analysis. --- Operations Research/Decision Theory. --- Mathematics. --- System theory. --- Operational analysis --- Operational research --- Industrial engineering --- Management science --- Research --- System theory --- Computer mathematics --- Discrete mathematics --- Electronic data processing --- Systems, Theory of --- Systems science --- Science --- Mathematics --- Philosophy --- Calculus of variations. --- Computer mathematics. --- Decision making. --- Deciding --- Decision (Psychology) --- Decision analysis --- Decision processes --- Making decisions --- Management --- Management decisions --- Choice (Psychology) --- Problem solving --- Isoperimetrical problems --- Variations, Calculus of --- Decision making

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