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.
Series: Lecture Notes in Computer Science
Number Of Pages: 108
Published: 28th February 1994
Publisher: SPRINGER VERLAG GMBH
Country of Publication: DE
Dimensions (cm): 23.39 x 15.6
Weight (kg): 0.19