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Newton's Method for Large Bound-Constrained Optimization Problems

Published in SIAM Journal on Optimization • Jan 1, 1999
NobleIDNI8P25W33R47S92
Authors:
Chih-Jen Lin
,
Jorge J. Moré

Abstract

We analyze a trust region version of Newton's method for bound-constrained problems. Our approach relies on the geometry of the feasible set, not on the particular representation in terms of constraints. The convergence theory holds for linearly constrained problems and yields global and superlinear...

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