Numerical Optimization Theoretical and Practical Aspects /
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...
| Main Authors: | , , , |
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| Format: | Electronic eBook |
| Language: | English |
| Published: |
Berlin, Heidelberg :
Springer Berlin Heidelberg,
2006.
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| Subjects: | |
| Online Access: | Full Text via HEAL-Link |
Table of Contents:
- Unconstrained Problems
- General Introduction
- Basic Methods
- Line-Searches
- Newtonian Methods
- Conjugate Gradient
- Special Methods
- A Case Study: Seismic Reection Tomography
- Nonsmooth Optimization
- 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 InequalityConstraints
- Exact Penalization
- Globalization by Line-Search
- Quasi-Newton Versions
- Interior-Point Algorithms for Linear and QuadraticOptimization
- Linearly Constrained Optimization and SimplexAlgorithm
- 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.
