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＜E-Book＞
The Newton-Cauchy Framework : A Unified Approach to Unconstrained Nonlinear Minimization / by John L. Nazareth
(Lecture Notes in Computer Science. ISSN:16113349 ; 769)

Edition	1st ed. 1994.
Publisher	(Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer)
Year	1994
Language	English
Size	XII, 108 p : online resource
Authors	*Nazareth, John L author SpringerLink (Online service)
Subjects	LCSH:Computer science -- Mathematics  All Subject Search LCSH:Computer-aided engineering LCSH:Numerical analysis LCSH:Business information services LCSH:Dynamics LCSH:Nonlinear theories LCSH:System theory LCSH:Control theory FREE:Mathematics of Computing FREE:Computer-Aided Engineering (CAD, CAE) and Design FREE:Numerical Analysis FREE:IT in Business FREE:Applied Dynamical Systems FREE:Systems Theory, Control
Notes	Motivation -- The metric-based Cauchy perspective -- The model-based Newton perspective -- The Newton-Cauchy framework -- Convergent implementable algorithms -- Unconstrained optimization technology 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 HTTP:URL=https://doi.org/10.1007/3-540-57671-1

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