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A new approach to variable metric algorithms
Abstract
An approach to variable metric algorithms has been investigated in which the linear search sub-problem no longer becomes necessary. The property of quadratic termination has been replaced by one of monotonic convergence of the eigenvalues of the approximating matrix to the inverse hessian. A convex class of updating formulae which possess this property has been established, and a strategy has been indicated for choosing a member of the class so as to keep the approximation away from both singularity and unboundedness. A FORTRAN program has been tested extensively with encouraging results.
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Cited by
(2010) · Cited by 8,261
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The Variational Quantum Eigensolver: A review of methods and best practices
Tilly, J., Chen, H., Cao, S., Picozzi, D., Setia, K., Li, Y., Grant, E., Wossnig, L., Rungger, I., Booth, G. H., et al. (2022) · Physics Reports · doi:10.1016/j.physrep.2022.08.003 · Cited by 1,031
Zhou, L., Wang, S.-T., Choi, S., Pichler, H., & Lukin, M. D. (2020) · Physical Review X · doi:10.1103/physrevx.10.021067 · Cited by 913
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Metadata
- Authors
- Fletcher, R.
- Venue
- The Computer Journal
- Publisher
- Oxford University Press (OUP)
- Published
- 1970-03-01
- Volume
- 13
- Issue
- 3
- Pages
- 317-322
- ISSN
- 0010-4620 (ISSN-L)
- 1460-2067
- OpenAlex
- W2078409719
- Cited by
- 4,068
- References
- 0
- FWCI
- 20.67
- Type
- journal article
- Language
- en
- Open access
- closed
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- Fletcher, R. (1970). A new approach to variable metric algorithms. The Computer Journal. https://doi.org/10.1093/comjnl/13.3.317
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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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