The Newton-Cauchy Framework

Download or read book The Newton-Cauchy Framework written by John L. Nazareth and published by Springer Science & Business Media. This book was released on 1994-02-28 with total page 120 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.