Projected Hessian Updating Algorithms for Nonlinearly Constrained Optimization

We consider the problem of minimizing a smooth function of n variables subject to m smooth equality constraints. We begin by describing various approaches to Newton's method for this problem, with emphasis on the recent work of Goodman. This leads to the proposal of a Broyden-type method which...

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Bibliographic Details
Published in:SIAM journal on numerical analysis Vol. 22; no. 5; pp. 821 - 850
Main Authors: Nocedal, Jorge, Overton, Michael L.
Format: Journal Article
Language:English
Published: Philadelphia, PA Society for Industrial and Applied Mathematics 01.10.1985
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ISSN:0036-1429, 1095-7170
Online Access:Get full text
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