Nonlinear Programming: Analysis and Methods - Brossura

Avriel, Mordecai

 
9780486432274: Nonlinear Programming: Analysis and Methods
Brossura
ISBN 10: 0486432270 ISBN 13: 9780486432274
Casa editrice: Dover Pubns, 2003

Sinossi

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.

Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.

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.

Product Description

This overview provides a single-volume treatment of key algorithms and theories. Begins with the derivation of optimality conditions and discussions of convex programming, duality, generalized convexity, and analysis of selected nonlinear programs, and then explores techniques for numerical solutions and unconstrained optimization methods. 1976 edition. Includes 58 figures and 7 tables.

Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.

Editore
Dover Pubns
Data di pubblicazione
2003
Lingua
Inglese
ISBN 10 
0486432270
ISBN 13 
9780486432274
Rilegatura
Copertina flessibile
Numero di pagine
528
Contatto del produttore
non disponibile
Persona responsabile
Soc. Agr. La Raia Ss
http://www.la-raia.it

Strada Monterotondo, 79
Novi Ligure
15067
Italia

Altre edizioni note dello stesso titolo

9780136236030: Nonlinear Programming: Analysis and Methods

Edizione in evidenza

ISBN 10:  0136236030 ISBN 13:  9780136236030
Casa editrice: Pearson College Div, 1976
Rilegato