Numerical Optimization

Sprednja platnica
Jorge Nocedal, Stephen J. Wright
Springer Science & Business Media, 1. jan. 1999 - 636 strani
3 Recenzije
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. Drawing on their experiences in teaching, research, and consulting, the authors have produced a textbook that will be of interest to students and practitioners alike. Each chapter begins with the basic concepts and builds up gradually to the best techniques currently available. 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. Above all, 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. MMOR Mathematical Methods of Operations Research, 2001: "The book looks very suitable to be used in an graduate-level course in optimization for students in mathematics, operations research, engineering, and others. Moreover, it seems to be very helpful to do some self-studies in optimization, to complete own knowledge and can be a source of new ideas.... I recommend this excellent book to everyone who is interested in optimization problems."
  

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Vsebina

Introduction
1
Fundamentals of Unconstrained Optimization
11
Line Search Methods
35
TrustRegion Methods
65
Conjugate Gradient Methods
101
Practical Newton Methods
135
Notes and References
162
Notes and References
189
Theory of Constrained Optimization
315
The Simplex Method
363
InteriorPoint Methods
395
Fundamentals of Algorithms for Nonlinear Cons trained Optimization
420
Penalty Barrier and Augmented Lagrangian Methods
491
Sequential Quadratic Programming
529
Elements of Analysis Geometry Topology
577
Elements of Linear Algebra
593

Notes and References
219
Nonlinear LeastSquares Problems
251
Nonlinear Equations
277

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