TY  - BOOK
AU  - Nazareth,J.L.
TI  - The Newton-Cauchy framework: a unified approach to unconstrained nonlinear minimization 
T2  - Lecture notes in computer science
SN  - 9783540483106
AV  - T57.8 .N39 1994
U1  - 004/.01/51976 20
PY  - 1994///
CY  - Berlin, New York
PB  - Springer-Verlag
KW  - Nonlinear programming
KW  - Mathematical optimization
KW  - Programmation non linéaire
KW  - Optimisation mathématique
KW  - fast
KW  - Niet-lineaire programmering
KW  - gtt
KW  - Optimaliseren
KW  - Congressen (vorm)
N1  - Includes bibliographical references (pages 91-101); Motivation -- The metric-based Cauchy perspective -- The model-based Newton perspective -- The Newton-Cauchy framework -- Convergent implementable algorithms -- Unconstrained optimization technology
N2  - 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
UR  - https://link.springer.com/10.1007/3-540-57671-1
ER  -