Nonlinear Programming. Questo articolo non è disponibile.
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Lingua: inglese
Editore: Dover Publications Inc., US, 2003
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- Nuovo
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Codice articolo LU-9780486432274
- Titolo
- Nonlinear Programming
- Autore
- Mordecai Avriel
- Editore
- Dover Publications Inc., US
- Anno di pubblicazione
- 2003
- Condizione
- New
- Rilegatura
- Paperback
- Lingua
- inglese
- ISBN 10
- 0486432270
- ISBN 13
- 9780486432274
- Peso dell'articolo
- 544 grammi
Comprehensive and complete, this overview provides a single-volume treatment of key algorithms and theories. The author provides clear explanations of all theoretical aspects, with rigorous proof of most results. The two-part treatment begins with the derivation of optimality conditions and discussions of convex programming, duality, generalized convexity, and analysis of selected nonlinear programs. The second part concerns techniques for numerical solutions and unconstrained optimization methods, and it presents commonly used algorithms for constrained nonlinear optimization problems. This graduate-level text requires no advanced mathematical background beyond elementary calculus, linear algebra, and real analysis. 1976 edition. 58 figures. 7 tables.
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Contenuti
Author's Preface to the Dover Edition 1. Introduction II. Analysis 2. Classical Optimization--Unconstrained and Equality Constrained Problems 3. Optimality Conditions for Constrained Extrema 4. Convex Sets and Functions 5. Duality in Nonlinear Convex Programming 6. Generalized Convexity 7. Analysis of Selected Nonlinear Programming Problems II. Methods 8. One-Dimensional Optimization 9. Multidimensional Unconstrained Optimization Without Derivatives: Empirical and Conjugate Direction Methods 10. Second Derivative, Steepest Descent and Conjugate Gradient Methods 11. Variable Metric Algorithms 12. Penalty Function Methods 13. Solution of Constrained Problems by Extensions of Unconstrained Optimization Techniques 14. Approximation-Type Algorithms Author Index. Subject Index.
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