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Optimization /
Finite-dimensional optimization problems occur throughout the mathematical sciences. The majority of these problems cannot be solved analytically. This introduction to optimization attempts to strike a balance between presentation of mathematical theory and development of numerical algorithms. Build...
Main Author: | |
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Format: | Printed Book |
Language: | English |
Published: |
New York :
Springer,
c2013.
|
Edition: | 2nd ed. |
Series: | Springer texts in statistics ;
95. |
Subjects: |
Table of Contents:
- 1. Elementary optimization
- 2. The seven c's of analysis
- 3. The gauge integral
- 4. Differentiation
- 5. Karush-Kuhn-Tucker theory
- 6. Convexity
- 7. Block relaxation
- 8. The MM algorithm
- 9. The EM algorithm
- 10. Newton's method and scoring
- 11. Conjugate gradient and quasi-Newton
- 12. Analysis of convergence
- 13. Penalty and barrier methods
- 14. Convex calculus
- 15. Feasibility and duality
- 16. Convex minimization algorithms
- 17. The calculus of variations
- Appendix.