The Mathematics of Nonlinear Programming / Edition 1

The Mathematics of Nonlinear Programming / Edition 1

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

ISBN-10: 0387966145

ISBN-13: 9780387966144

Pub. Date: 03/02/1988

Publisher: Springer New York

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,

Overview

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.

Product Details

ISBN-13:
9780387966144
Publisher:
Springer New York
Publication date:
03/02/1988
Series:
Undergraduate Texts in Mathematics Series
Edition description:
1st ed. 1988. Corr. 2nd printing 1993
Pages:
276
Product dimensions:
6.40(w) x 9.30(h) x 1.00(d)

Table of Contents

Preface; 1: Unconstrained Optimization via Calculus; 2: Convex and Convex Functions; 3: Iterative Methods for Unconstrained Optimization; 4: Least Squares Optimization; 5: Convex Programming and the Karush-Kuhn-Tucker Conditions; 6: Penalty Methods; 7: Optimization with Equality Constraints; Index

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