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EbookBell Team
4.4
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ISBN 13: 9783540354451
Author: Joseph Fridiric Bonnans, Jean Charles Gilbert, Claude Lemarechal, Claudia A Sagastizibal
Just as in its 1st edition, this book starts with illustrations of the ubiquitous character of optimization, and describes numerical algorithms in a tutorial way. It covers fundamental algorithms as well as more specialized and advanced topics for unconstrained and constrained problems. Most of the algorithms are explained in a detailed manner, allowing straightforward implementation. Theoretical aspects of the approaches chosen are also addressed with care, often using minimal assumptions.
This new edition contains computational exercises in the form of case studies which help understanding optimization methods beyond their theoretical, description, when coming to actual implementation. Besides, the nonsmooth optimization part has been substantially reorganized and expanded.
Unconstrained Problems
General Introduction
Basic Methods
Line-Searches
Newtonian Methods
Conjugate Gradient
Special Methods
A Case Study: Seismic Reflection Tomography
Nonsmooth Optimization
Introduction to Nonsmooth Optimization
Some Methods in Nonsmooth Optimization
Bundle Methods
The Quest for Descent
Applications of Nonsmooth Optimization
Computational Exercises
Newton's Methods in Constrained Optimization
Background
Local Methods for Problems with Equality Constraints
Local Methods for Problems with Equality and Inequality Constraints
Exact Penalization
Globalization by Line-Search
Quasi-Newton Versions
Interior-Point Algorithms for Linear and Quadratic Optimization
Linearly Constrained Optimization and Simplex Algorithm
Linear Monotone Complementarity and Associated Vector Fields
Predictor-Corrector Algorithms
Non-Feasible Algorithms
Self-Duality
One-Step Methods
Complexity of Linear Optimization Problems with Integer Data
Karmarkar's Algorithm
numerical optimization theoretical and practical aspects
c++ numerical optimization
numerical methods for optimal control problems
numerical optimization wright
theoretical optimization
numerical optimization in r
Tags: Joseph Fridiric Bonnans, Jean Charles Gilbert, Claude Lemarechal, Claudia A Sagastizibal, optimization, Theoretical
