Metric Regularity of Newton's Iteration

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Cite
Artacho, F. J. Aragón, et al. “Metric Regularity of Newton’s Iteration”. SIAM Journal on Control and Optimization, vol. 49, no. 2, 2011, pp. 339-62, https://doi.org/10.1137/100792585.
Artacho, F. J. A., Dontchev, A. L., Gaydu, M., Geoffroy, M. H., & Veliov, V. M. (2011). Metric Regularity of Newton’s Iteration. SIAM Journal on Control and Optimization, 49(2), 339-362. https://doi.org/10.1137/100792585
Artacho, F. J. Aragón, A. L. Dontchev, M. Gaydu, M. H. Geoffroy, and V. M. Veliov. “Metric Regularity of Newton’s Iteration”. SIAM Journal on Control and Optimization 49, no. 2 (2011): 339-62. https://doi.org/10.1137/100792585.
Artacho FJA, Dontchev AL, Gaydu M, Geoffroy MH, Veliov VM. Metric Regularity of Newton’s Iteration. SIAM Journal on Control and Optimization. 2011;49(2):339-62.
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Refrences
Title Journal Journal Categories Citations Publication Date
Title 1980
Title 1934
Inexact Restoration for Runge–Kutta Discretization of Optimal Control Problems SIAM Journal on Numerical Analysis
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27 2010
Метрическая регулярность и субдифференциальное исчисление Uspekhi Matematicheskikh Nauk 52 2000
10.1215/S0012-7094-50-01713-3
Citations
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On Newton's method for solving generalized equations Journal of Complexity
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
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  • Technology: Engineering (General). Civil engineering (General)
3 2023
Citations Analysis
The category Science: Mathematics 30 is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled A Lyusternik–Graves theorem for the proximal point method and was published in 2011. The most recent citation comes from a 2024 study titled A Quasi-Newton method for solving generalized equations by using a Kantorovich approach. This article reached its peak citation in 2023, with 4 citations. It has been cited in 20 different journals, 5% of which are open access. Among related journals, the Journal of Optimization Theory and Applications cited this research the most, with 4 citations. The chart below illustrates the annual citation trends for this article.
Citations used this article by year