On the Redundancy of Hessian Nonsingularity for Linear Convergence Rate of the Newton Method Applied to the Minimization of Convex Functions
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Publisher
Pleiades Publishing Ltd
Link
https://link.springer.com/content/pdf/10.1134/S0965542524700040.pdf
Reference10 articles.
1. B. Bombadio and K. A. Lebedev, “The Newton method for finding extrema of strongly convex functions,” Mezhd. Naucno-Issled. Zh., No. 5–2 (37), 11–14 (2015).
2. V. I. Zabotin and Yu. A. Chernyaev, “Newton’s method for minimizing a convex twice differentiable function on a preconvex set,” Comput. Math. Math. Phys. 58 (3), 322–327 (2018). https://doi.org/10.1134/S0965542518030144
3. D. Budzko, A. Cordero, and J. R. Torregrosa, “Modification of Newton’s method to extend the convergence domain,” SeMA J. 66 (1), 43–53 (2014). https://doi.org/10.1007/s40324-014-0020-y
4. Y. Nesterov, “Accelerating the cubic regularization of Newton’s method on convex problems,” Math. Program. 112 (1), 159–181 (2008). https://doi.org/10.1007/s10107-006-0089-x
5. B. Polyak and A. Tremba, “New versions of Newton method: Step-size choice, convergence domain and under-determined equations,” Optim. Meth. Software 35 (6), (2020) 1272–1303. https://doi.org/10.1080/10556788.2019.1669154
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