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

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

byJohn L. Nazareth

Paperback | February 28, 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.
Title:The Newton-Cauchy Framework: A Unified Approach to Unconstrained Nonlinear MinimizationFormat:PaperbackDimensions:120 pagesPublished:February 28, 1994Publisher:Springer Berlin HeidelbergLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:3540576711

ISBN - 13:9783540576716

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Table of Contents

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