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Numerical Optimization [electronic resource] / by Jorge Nocedal, Stephen Wright.

By: Nocedal, Jorge [author.].
Contributor(s): Wright, Stephen [author.] | SpringerLink (Online service).
Material type: materialTypeLabelBookSeries: Springer Series in Operations Research and Financial Engineering: Publisher: New York, NY : Springer New York : Imprint: Springer, 2006Edition: 2nd ed. 2006.Description: XXII, 664 p. online resource.Content type: text Media type: computer Carrier type: online resourceISBN: 9780387400655.Subject(s): Mathematical optimization | Calculus of variations | System theory | Control theory | Mathematics—Data processing | Operations research | Optimization | Calculus of Variations and Optimization | Systems Theory, Control | Computational Mathematics and Numerical Analysis | Operations Research and Decision TheoryAdditional physical formats: Printed edition:: No title; Printed edition:: No title; Printed edition:: No titleDDC classification: 519.6 Online resources: Click here to access online
Contents:
Fundamentals of Unconstrained Optimization -- Line Search Methods -- Trust-Region Methods -- Conjugate Gradient Methods -- Quasi-Newton Methods -- Large-Scale Unconstrained Optimization -- Calculating Derivatives -- Derivative-Free Optimization -- Least-Squares Problems -- Nonlinear Equations -- Theory of Constrained Optimization -- Linear Programming: The Simplex Method -- Linear Programming: Interior-Point Methods -- Fundamentals of Algorithms for Nonlinear Constrained Optimization -- Quadratic Programming -- Penalty and Augmented Lagrangian Methods -- Sequential Quadratic Programming -- Interior-Point Methods for Nonlinear Programming.
In: Springer Nature eBookSummary: 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.
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Fundamentals of Unconstrained Optimization -- Line Search Methods -- Trust-Region Methods -- Conjugate Gradient Methods -- Quasi-Newton Methods -- Large-Scale Unconstrained Optimization -- Calculating Derivatives -- Derivative-Free Optimization -- Least-Squares Problems -- Nonlinear Equations -- Theory of Constrained Optimization -- Linear Programming: The Simplex Method -- Linear Programming: Interior-Point Methods -- Fundamentals of Algorithms for Nonlinear Constrained Optimization -- Quadratic Programming -- Penalty and Augmented Lagrangian Methods -- Sequential Quadratic Programming -- Interior-Point Methods for Nonlinear Programming.

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.

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