Trust Region Methods
£125.00
Part of MPS-SIAM Series on Optimization
- Authors:
- Andrew R. Conn, IBM T J Watson Research Center, New York
- Nicholas I. M. Gould
- Philippe L. Toint
- Date Published: September 2000
- availability: Available in limited markets only
- format: Hardback
- isbn: 9780898714609
£
125.00
Hardback
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This is the first comprehensive reference on trust-region methods, a class of numerical algorithms for the solution of nonlinear convex optimization methods. Its unified treatment covers both unconstrained and constrained problems and reviews a large part of the specialized literature on the subject. It also provides an up-to-date view of numerical optimization. Written primarily for postgraduates and researchers, the book features an extensive commented bibliography, which contains more than 1000 references by over 750 authors. The book also contains several practical comments and an entire chapter devoted to software and implementation issues. Its many illustrations, including nearly 100 figures, balance the formal and intuitive treatment of the presented topics.
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×Product details
- Date Published: September 2000
- format: Hardback
- isbn: 9780898714609
- length: 979 pages
- dimensions: 261 x 183 x 50 mm
- weight: 1.88kg
- availability: Available in limited markets only
Table of Contents
Preface
1. Introduction
Part I. Preliminaries:
2. Basic Concepts
3. Basic Analysis and Optimality Conditions
4. Basic Linear Algebra
5. Krylov Subspace Methods
Part II. Trust-Region Methods for Unconstrained Optimization:
6. Global Convergence of the Basic Algorithm
7.The Trust-Region Subproblem
8. Further Convergence Theory Issues
9. Conditional Models
10. Algorithmic Extensions
11. Nonsmooth Problems
Part III. Trust-Region Methods for Constrained Optimization with Convex Constraints:
12. Projection Methods for Convex Constraints
13. Barrier Methods for Inequality Constraints
Part IV. Trust-Region Mewthods for General Constained Optimization and Systems of Nonlinear Equations:
14. Penalty-Function Methods
15. Sequential Quadratic Programming Methods
16. Nonlinear Equations and Nonlinear Fitting
Part V. Final Considerations: Practicalities
Afterword
Appendix: A Summary of Assumptions
Annotated Bibliography
Subject and Notation Index
Author Index.
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