The Newton-Cauchy framework : a unified approach to unconstrained nonlinear minimization / J.L. Nazareth.

By:

Nazareth, J. L. (John Lawrence)

Material type: Text

text

Media type:

computer

Carrier type:

online resource

ISBN:

9783540483106
3540483101

Subject(s):

Genre/Form:

Congressen (vorm)

Additional physical formats: Print version:: No titleDDC classification:

004/.01/51976 20

LOC classification:

T57.8 .N39 1994

Other classification:

31.99

Online resources:

Click here to access online

Contents:

Motivation -- The metric-based Cauchy perspective -- The model-based Newton perspective -- The Newton-Cauchy framework -- Convergent implementable algorithms -- Unconstrained optimization technology.

Summary: 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.

Holdings ( 1 )
Title notes ( 3 )

Holdings
Item type	Current library	Collection	Call number	Status	Date due	Barcode	Item holds
eBook	e-Library	eBook LNCS		Available

Total holds: 0

Includes bibliographical references (pages 91-101).

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.

Motivation -- The metric-based Cauchy perspective -- The model-based Newton perspective -- The Newton-Cauchy framework -- Convergent implementable algorithms -- Unconstrained optimization technology.