ENGLISH

The Newton-Cauchy Framework: A Unified Approach to Unconstrained Nonlinear Minimization

By J. L. Nazareth (eds.)

Book information

Publisher
Springer-Verlag Berlin Heidelberg
Year
1994
ISBN
3540576711, 9783540576716
DOI
10.1007/3-540-57671-1
Language
english
Format
PDF
Filesize
5 MB (5214405 bytes)
Series
Lecture Notes in Computer Science 769
Edition
1
Pages
108\113
Topic
Computers
Time added
2011-06-04 13:46:07
CAE) and Design;Numerical Analysis;Business InformComputer-Aided Engineering (CADControl;Calculus of Variations and Optimal Control

Description

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.

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