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...

وصف كامل

محفوظ في:
التفاصيل البيبلوغرافية
المؤلف الرئيسي: Lange, Kenneth, 1946-
التنسيق: Livre papier
اللغة:Anglais
منشور في: New York : Springer C 2013.
الطبعة:2nd edition.
سلاسل:Springer texts in statistics 95
الموضوعات:
Autres localisations: Voir dans le Sudoc
Edition sous un autre format:• Optimization, by Kenneth Lange., 2nd ed. 2013., New York, NY, Springer New York, Imprint: Springer, 2013, Springer Texts in Statistics, 978-1-461-45838-8
جدول المحتويات:
  • 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