The Newton-Cauchy framework : a unified approach to unconstrained nonlinear minimization
著者
書誌事項
The Newton-Cauchy framework : a unified approach to unconstrained nonlinear minimization
（Lecture notes in computer science, 769）
Springer-Verlag, c1994
- : gw
- : us
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注記
Bibliography: p. 91-101
内容説明・目次
内容説明
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.
目次
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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