Lecture Notes in Computer Science: A Unified Approach to Unconstrained Nonlinear Minimization

Nazareth, John L.

Computational unconstrained nonlinear optimization comes to life from a study of the interplay between the metric-based (Cauchy) and model-based (Newton) points of view. The motivating problem is that of minimizing a convex quadratic function. This research monograph reveals for the first time the essential unity of the subject. It explores the relationships between the main methods, develops the Newton-Cauchy framework and points out its rich wealth of algorithmic implications and basic conceptual methods. The monograph also makes a valueable contribution to unifying the notation and terminology of the subject. It is addressed topractitioners, researchers, instructors, and students and provides a useful and refreshing new perspective on computational nonlinear optimization.

Details

Published by: Springer

Publication Date: 1994-02-28

Format: Paperback

ISBN-13: 9783540576716

DOI: 10.1007/3-540-57671-1

Dimensions: 233cm x155cm

Pages: 108