Newton's method for large bound-constrained optimization problems.
Journal Article
·
· SIAM J. Optimization
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 convergence without assuming either strict complementarity or linear independence of the active constraints. We also show that the convergence theory leads to an efficient implementation for large bound-constrained problems.
- Research Organization:
- Argonne National Lab. (ANL), Argonne, IL (United States)
- Sponsoring Organization:
- USDOE Office of Science (SC)
- DOE Contract Number:
- DE-AC02-06CH11357
- OSTI ID:
- 942618
- Report Number(s):
- ANL/MCS/JA-33082; TRN: US200920%%76
- Journal Information:
- SIAM J. Optimization, Vol. 9, Issue 4 ; 1999; ISSN 1052-6234
- Country of Publication:
- United States
- Language:
- ENGLISH
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