Optimization Theory and Methods

Nonlinear Programming

Wenyu Sun, Ya-Xiang Yuan

$415.95 $332.78

Hardback

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English

Springer Verlag
01 June 2006

Operational research; Mathematics & Sciences; Numerical analysis; Optimisation

Series: Springer Optimization and Its Applications

Optimization Theory and Methods can be used as a textbook for an optimization course for graduates and senior undergraduates. It is the result of the author's teaching and research over the past decade. It describes optimization theory and several powerful methods. For most methods, the book discusses an idea's motivation, studies the derivation, establishes the global and local convergence, describes algorithmic steps, and discusses the numerical performance.

By: Wenyu Sun, Ya-Xiang Yuan
Imprint: Springer Verlag
Country of Publication: United States
Volume: v. 1
Dimensions: Height: 235mm, Width: 156mm, Spine: 38mm
Weight: 2.540kg
ISBN: 9780387249759
ISBN 10: 0387249753
Series: Springer Optimization and Its Applications
Pages: 700
Publication Date: 01 June 2006
Audience: Professional and scholarly , Undergraduate
Format: Hardback
Publisher's Status: Active

Line Search.- Newton’s Methods.- Conjugate Gradient Method.- Quasi-Newton Methods.- Trust-Region Methods and Conic Model Methods.- Solving Nonlinear Least-Squares Problems.- Theory of Constrained Optimization.- Quadratic Programming.- Penalty Function Methods.- Feasible Direction Methods.- Sequential Quadratic Programming.- Trust-Region Methods for Constrained Problems.- Nonsmooth Optimization.

Reviews for Optimization Theory and Methods: Nonlinear Programming

From the reviews: The book contains a comprehensive presentation of methods for unconstrained and constrained optimization problems. ! The main strength of the book is the precise convergence analysis of most nonlinear programming algorithms presented, and it is especially comprehensive for line search, Newton, quasi-Newton, trust region and SQP methods. In this respect the book is a very valuable reference. (Darinka Dentcheva, Mathematical Reviews, Issue 2007 c) Optimization is a subject that is widely and increasingly used in science, engineering, economics, management, industry, and other areas. ! The book is self-contained, systematic in theory and algorithms, and easy to read. ! The book also contains an extensive ! bibliography with 366 references, which is an important part of the book, and is useful to readers for further studies. Each chapter ends with an exercise set. (Alexandr B. Vasil'ev, Zentralblatt MATH, Vol. 1129 (7), 2008)