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The Mathematics of Nonlinear Programming : Undergraduate Texts in Mathematics - Anthony L. Peressini

The Mathematics of Nonlinear Programming

Undergraduate Texts in Mathematics

Hardcover

Published: March 1988
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This book is designed for a first course in nonlinear optimization. It starts with classical optimization notions from calculus and proceeds smoothly to a study of convex functions. This is followed by material on basic numerical methods, least squares, Karush-Kuhn-Tucker theory, penalty functions, and Lagrange multipliers. The book has been tested in the classroom; the approach is rigorous at all times and geometric intuition is developed. The numerical methods are up-to-date. The presentation emphasizes the mathematical ideas behind computer codes. The book is aimed at the student who has 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 understanding underlying concepts. There are many exercises chosen to highlight the fundamental ideas.

Preface
Unconstrained Optimization via Calculus
Convex and Convex Functions
Iterative Methods for Unconstrained Optimization
Least Squares Optimization
Convex Programming and the Karush-Kuhn-Tucker Conditions
Penalty Methods
Optimization with Equality Constraints
Index
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780387966144
ISBN-10: 0387966145
Series: Undergraduate Texts in Mathematics
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 276
Published: March 1988
Publisher: Springer-Verlag New York Inc.
Country of Publication: US
Dimensions (cm): 23.5 x 15.5  x 1.91
Weight (kg): 0.57
Edition Number: 2