The Mathematics Of Nonlinear Programming

Peressini, Anthony L.; Sullivan, Francis E.; Uhl, J. J., Jr.

ISBN 10: 0387966145 / ISBN 13: 9780387966144

Edité par Springer-Verlag New York Inc., 1993

Covers classical optimization notions from calculus and proceeds smoothly to a study of convex functions. This book offers material on basic numerical methods, least squares, Karush-Kuhn-Tucker theory, penalty functions, and Lagrange multipliers. It includes many exercises chosen to highlight the fundamental ideas. Series: Undergraduate Texts in Mathematics. Num Pages: 286 pages, biography. BIC Classification: PBT. Category: (P) Professional & Vocational. Dimension: 235 x 155 x 17. Weight in Grams: 586. . 1993. 1st ed. 1988. Corr. 2nd printing 1993. Hardback. . . . . N° de réf. du vendeur V9780387966144

Synopsis :

The book is aimed at students who have a working knowledge of linear algebra and partial differentiation but has had no previous exposure to optimization. Mathematics instructors will be comfortable with the mathematical approach which deemphasizes recipes and emphasizes underlying concepts. There are many exercises chosen to highlight the fundamental ideas.

Présentation de l'éditeur: Nonlinear programming provides an excellent opportunity to explore an interesting variety of pure and solidly applicable mathematics, numerical analysis, and computing. This text develops some of the ideas and techniques involved in the optimization methods using calculus, leading to the study of convexity. This is followed by material on basic numerical methods, least squares, the Karush-Kuhn-Tucker theorem, penalty functions, and Lagrange multipliers. The authors have aimed their presentation at the student who has a working knowledge of matrix algebra and advanced calculus, but has had no previous exposure to optimization.

Détails bibliographiques

Titre : The Mathematics Of Nonlinear Programming
Éditeur : Springer-Verlag New York Inc.
Date d'édition : 1993
Reliure : Couverture rigide
Etat : New
Edition : Edition originale