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SIAM Journal on Numerical Analysis
Article . 1984 . Peer-reviewed
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A Family of Descent Functions for Constrained Optimization

A family of descent functions for constrained optimization
Authors: Boggs, Paul T.; Tolle, Jon W.;

A Family of Descent Functions for Constrained Optimization

Abstract

Proceeding from the equality constrained nonlinear programming problem, the authors consider merit or line search functions for determining a steplength in a sequential quadratic programming algorithm so that desirable convergence properties are retained. They belong to the class of differentiable exact penalty functions and possess the descent property in the neighbourhood of a solution. If the iteration sequence converges Q-superlinearly, then the steplength one will be accepted when approaching an optimal solution. The results of some numerical experiments are included showing the sensitivity of the resulting algorithm with respect to a merit function parameter and that a steplength of one was chosen close to a solution.

Keywords

steplength, quasi-Newton methods, Q-superlinear convergence, equality constrained nonlinear programming, penalty functions, Numerical mathematical programming methods, Nonlinear programming, line search, sequential quadratic programming algorithm, merit function

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
21
Average
Top 10%
Average
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