Newton-cauchy Framework : A Unified Approach to Unconstrained Nonlinear Minimization
Nazareth, John L.
ISBN 10: 3540576711 ISBN 13: 9783540576716
Editore: Springer, 1994
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Codice articolo 5906022-n
Riassunto:
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.
Contenuti: Motivation.- The metric-based Cauchy perspective.- The model-based Newton perspective.- The Newton-Cauchy framework.- Convergent implementable algorithms.- Unconstrained optimization technology.
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Titolo: Newton-cauchy Framework : A Unified Approach...
Casa editrice: Springer
Data di pubblicazione: 1994
Legatura: Brossura
Condizione: New