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The Newton-Cauchy Framework : A Unified Approach to Unconstrained Nonlinear Minimization - J.L. Nazareth

The Newton-Cauchy Framework

A Unified Approach to Unconstrained Nonlinear Minimization

Paperback

Published: 28th February 1994
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Computational unconstrained nonlinear optimization comes tolife from a study of the interplay between the metric-based(Cauchy) and model-based (Newton) points of view. Themotivating problem is that of minimizing a convex quadraticfunction. This research monograph reveals for the first timethe essential unity of the subject. It explores therelationships between the main methods, develops theNewton-Cauchy framework and points out its rich wealth ofalgorithmic implications and basic conceptual methods. Themonograph also makes a valueable contribution to unifyingthe notation and terminology of the subject. It is addressedtopractitioners, researchers, instructors, and students andprovides a useful and refreshing new perspective oncomputational nonlinear optimization.

Motivation.- The metric-based Cauchy perspective.- The model-based Newton perspective.- The Newton-Cauchy framework.- Convergent implementable algorithms.- Unconstrained optimization technology.

ISBN: 9783540576716
ISBN-10: 3540576711
Series: Lecture Notes in Computer Science
Audience: General
Format: Paperback
Language: English
Number Of Pages: 108
Published: 28th February 1994
Publisher: SPRINGER VERLAG GMBH
Country of Publication: DE
Dimensions (cm): 23.39 x 15.6  x 0.66
Weight (kg): 0.19