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Numerical Optimization

Numerical Optimization
Catalogue Information
Field name Details
Dewey Class 515.64
Title Numerical Optimization ([EBook] /) / edited by Jorge Nocedal, Stephen J. Wright.
Added Personal Name Nocedal, Jorge editor.
Wright, Stephen J. editor.
Other name(s) SpringerLink (Online service)
Publication New York, NY : : Springer New York, , 1999.
Physical Details XXI, 636 p. : online resource.
Series Springer Series in Operations Research and Financial Engineering 1431-8598
ISBN 9780387227429
Summary Note 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.:
Contents note Fundamentals of Unconstrained Optimization -- Line Search Methods -- Trust-Region Methods -- Conjugate Gradient Methods -- Practical Newton Methods -- Calculating Derivatives -- Quasi-Newton Methods -- Large-Scale Quasi-Newton and Partially Separable Optimization -- Nonlinear 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, Barrier, and Augmented Lagrangian Methods -- Sequential Quadratic Programming.
System details note Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site http://dx.doi.org/10.1007/b98874
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