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A special newton-type optimization method
Abstract
The Kuhn–Tucker conditions of an optimization problem with inequality constraints are transformed equivalently into a special nonlinear system of equations T 0(z) = 0. It is shown that Newton's method for solving this system combines two valuable properties: The local Q-quadratic convergence without assuming the strict complementary slackness condition and the regularity of the Jacobian of T 0 at a point z under reasonable conditions, so that Newton’s method can be used also far from a Kuhn–Tucker point
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Cited by
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Pang, J.-S. (1997) · Mathematical Programming · doi:10.1007/bf02614322 · Cited by 441
PETSc/TAO Users Manual (Rev. 3.19)
Argonne National Laboratory (ANL), A., Balay, S., USDOE Office of Science (SC), A. S. C. R. (., Abhyankar, S., Adams, M., Benson, S., Brown, J., Brune, P., Buschelman, K., Constantinescu, E., et al. (2023) · doi:10.2172/1968587 · Cited by 67
Metadata
- Authors
- Fischer, A.
- Venue
- Optimization
- Publisher
- Informa UK Limited
- Published
- 1992-01
- Volume
- 24
- Issue
- 3-4
- Pages
- 269-284
- ISSN
- 0233-1934 (ISSN-L)
- 1029-4945
- OpenAlex
- W2151902790
- Cited by
- 762
- References
- 0
- FWCI
- 4.39
- Type
- journal article
- Language
- en
- Open access
- closed
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- Fischer, A. (1992). A special newton-type optimization method. Optimization. https://doi.org/10.1080/02331939208843795
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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