Doikov, Nikita; Nesterov, Yurii Gradient regularization of Newton method with Bregman distances. (English) Zbl 07807804 Math. Program. 204, No. 1-2 (A), 1-25 (2024). MSC: 90C53 90C25 90C30 PDFBibTeX XMLCite \textit{N. Doikov} and \textit{Y. Nesterov}, Math. Program. 204, No. 1--2 (A), 1--25 (2024; Zbl 07807804) Full Text: DOI arXiv OA License
Doikov, Nikita; Mishchenko, Konstantin; Nesterov, Yurii Super-universal regularized Newton method. (English) Zbl 07790168 SIAM J. Optim. 34, No. 1, 27-56 (2024). MSC: 90C53 65K05 90C25 90C30 PDFBibTeX XMLCite \textit{N. Doikov} et al., SIAM J. Optim. 34, No. 1, 27--56 (2024; Zbl 07790168) Full Text: DOI arXiv OA License
Grapiglia, G. N.; Nesterov, Yu. Adaptive third-order methods for composite convex optimization. (English) Zbl 1522.90093 SIAM J. Optim. 33, No. 3, 1855-1883 (2023). MSC: 90C25 90C30 PDFBibTeX XMLCite \textit{G. N. Grapiglia} and \textit{Yu. Nesterov}, SIAM J. Optim. 33, No. 3, 1855--1883 (2023; Zbl 1522.90093) Full Text: DOI arXiv
Nesterov, Yurii Inexact accelerated high-order proximal-point methods. (English) Zbl 1514.90186 Math. Program. 197, No. 1 (A), 1-26 (2023). MSC: 90C25 PDFBibTeX XMLCite \textit{Y. Nesterov}, Math. Program. 197, No. 1 (A), 1--26 (2023; Zbl 1514.90186) Full Text: DOI
Doikov, Nikita; Nesterov, Yurii Affine-invariant contracting-point methods for convex optimization. (English) Zbl 1512.90162 Math. Program. 198, No. 1 (A), 115-137 (2023). MSC: 90C25 90C06 65K05 PDFBibTeX XMLCite \textit{N. Doikov} and \textit{Y. Nesterov}, Math. Program. 198, No. 1 (A), 115--137 (2023; Zbl 1512.90162) Full Text: DOI arXiv
Nesterov, Yurii Inexact basic tensor methods for some classes of convex optimization problems. (English) Zbl 1502.90131 Optim. Methods Softw. 37, No. 3, 878-906 (2022). MSC: 90C25 PDFBibTeX XMLCite \textit{Y. Nesterov}, Optim. Methods Softw. 37, No. 3, 878--906 (2022; Zbl 1502.90131) Full Text: DOI
Grapiglia, G. N.; Nesterov, Yurii Tensor methods for finding approximate stationary points of convex functions. (English) Zbl 1508.90057 Optim. Methods Softw. 37, No. 2, 605-638 (2022). MSC: 90C25 26B25 90C30 PDFBibTeX XMLCite \textit{G. N. Grapiglia} and \textit{Y. Nesterov}, Optim. Methods Softw. 37, No. 2, 605--638 (2022; Zbl 1508.90057) Full Text: DOI arXiv
Doikov, Nikita; Nesterov, Yurii High-order optimization methods for fully composite problems. (English) Zbl 1507.65099 SIAM J. Optim. 32, No. 3, 2402-2427 (2022). MSC: 65K05 90C25 90C30 49M15 PDFBibTeX XMLCite \textit{N. Doikov} and \textit{Y. Nesterov}, SIAM J. Optim. 32, No. 3, 2402--2427 (2022; Zbl 1507.65099) Full Text: DOI arXiv
Rodomanov, Anton; Nesterov, Yurii Rates of superlinear convergence for classical quasi-Newton methods. (English) Zbl 1494.90129 Math. Program. 194, No. 1-2 (A), 159-190 (2022). MSC: 90C53 90C30 68Q25 PDFBibTeX XMLCite \textit{A. Rodomanov} and \textit{Y. Nesterov}, Math. Program. 194, No. 1--2 (A), 159--190 (2022; Zbl 1494.90129) Full Text: DOI arXiv
Doikov, Nikita; Nesterov, Yurii Local convergence of tensor methods. (English) Zbl 1491.90117 Math. Program. 193, No. 1 (A), 315-336 (2022). MSC: 90C25 90C06 65K05 PDFBibTeX XMLCite \textit{N. Doikov} and \textit{Y. Nesterov}, Math. Program. 193, No. 1 (A), 315--336 (2022; Zbl 1491.90117) Full Text: DOI arXiv
Nesterov, Yurii Inexact high-order proximal-point methods with auxiliary search procedure. (English) Zbl 1481.90255 SIAM J. Optim. 31, No. 4, 2807-2828 (2021). MSC: 90C25 PDFBibTeX XMLCite \textit{Y. Nesterov}, SIAM J. Optim. 31, No. 4, 2807--2828 (2021; Zbl 1481.90255) Full Text: DOI
Nesterov, Yurii Superfast second-order methods for unconstrained convex optimization. (English) Zbl 1480.90195 J. Optim. Theory Appl. 191, No. 1, 1-30 (2021). MSC: 90C25 PDFBibTeX XMLCite \textit{Y. Nesterov}, J. Optim. Theory Appl. 191, No. 1, 1--30 (2021; Zbl 1480.90195) Full Text: DOI
Doikov, Nikita; Nesterov, Yurii Minimizing uniformly convex functions by cubic regularization of Newton method. (English) Zbl 1470.90075 J. Optim. Theory Appl. 189, No. 1, 317-339 (2021). MSC: 90C25 26B25 49M15 49M37 90C30 PDFBibTeX XMLCite \textit{N. Doikov} and \textit{Y. Nesterov}, J. Optim. Theory Appl. 189, No. 1, 317--339 (2021; Zbl 1470.90075) Full Text: DOI arXiv
Rodomanov, Anton; Nesterov, Yurii New results on superlinear convergence of classical quasi-Newton methods. (English) Zbl 1469.90160 J. Optim. Theory Appl. 188, No. 3, 744-769 (2021). MSC: 90C53 90C30 68Q25 PDFBibTeX XMLCite \textit{A. Rodomanov} and \textit{Y. Nesterov}, J. Optim. Theory Appl. 188, No. 3, 744--769 (2021; Zbl 1469.90160) Full Text: DOI arXiv
Grapiglia, G. N.; Nesterov, Yu. On inexact solution of auxiliary problems in tensor methods for convex optimization. (English) Zbl 1464.90057 Optim. Methods Softw. 36, No. 1, 145-170 (2021). MSC: 90C25 90C30 49M15 49M37 58C15 PDFBibTeX XMLCite \textit{G. N. Grapiglia} and \textit{Yu. Nesterov}, Optim. Methods Softw. 36, No. 1, 145--170 (2021; Zbl 1464.90057) Full Text: DOI arXiv
Rodomanov, Anton; Nesterov, Yurii Greedy quasi-Newton methods with explicit superlinear convergence. (English) Zbl 1461.90167 SIAM J. Optim. 31, No. 1, 785-811 (2021). MSC: 90C53 90C30 68Q25 PDFBibTeX XMLCite \textit{A. Rodomanov} and \textit{Y. Nesterov}, SIAM J. Optim. 31, No. 1, 785--811 (2021; Zbl 1461.90167) Full Text: DOI arXiv
Nesterov, Yurii Implementable tensor methods in unconstrained convex optimization. (English) Zbl 1459.90157 Math. Program. 186, No. 1-2 (A), 157-183 (2021). MSC: 90C25 90C06 65K05 PDFBibTeX XMLCite \textit{Y. Nesterov}, Math. Program. 186, No. 1--2 (A), 157--183 (2021; Zbl 1459.90157) Full Text: DOI
Grapiglia, G. N.; Nesterov, Yu. Tensor methods for minimizing convex functions with Hölder continuous higher-order derivatives. (English) Zbl 1451.90119 SIAM J. Optim. 30, No. 4, 2750-2779 (2020). MSC: 90C25 26B25 90C30 PDFBibTeX XMLCite \textit{G. N. Grapiglia} and \textit{Yu. Nesterov}, SIAM J. Optim. 30, No. 4, 2750--2779 (2020; Zbl 1451.90119) Full Text: DOI arXiv
Rodomanov, Anton; Nesterov, Yurii Smoothness parameter of power of Euclidean norm. (English) Zbl 1453.46041 J. Optim. Theory Appl. 185, No. 2, 303-326 (2020). MSC: 46G05 26A16 PDFBibTeX XMLCite \textit{A. Rodomanov} and \textit{Y. Nesterov}, J. Optim. Theory Appl. 185, No. 2, 303--326 (2020; Zbl 1453.46041) Full Text: DOI arXiv
Berger, Guillaume O.; Absil, P.-A.; Jungers, Raphaël M.; Nesterov, Yurii On the quality of first-order approximation of functions with Hölder continuous gradient. (English) Zbl 1436.90154 J. Optim. Theory Appl. 185, No. 1, 17-33 (2020). Reviewer: Vasile Postolică (Piatra Neamt) MSC: 90C48 90C59 PDFBibTeX XMLCite \textit{G. O. Berger} et al., J. Optim. Theory Appl. 185, No. 1, 17--33 (2020; Zbl 1436.90154) Full Text: DOI arXiv
Grapiglia, Geovani N.; Nesterov, Yurii Accelerated regularized Newton methods for minimizing composite convex functions. (English) Zbl 1406.49030 SIAM J. Optim. 29, No. 1, 77-99 (2019). MSC: 49M15 49M37 58C15 90C25 90C30 PDFBibTeX XMLCite \textit{G. N. Grapiglia} and \textit{Y. Nesterov}, SIAM J. Optim. 29, No. 1, 77--99 (2019; Zbl 1406.49030) Full Text: DOI
Nesterov, Yu. Complexity bounds for primal-dual methods minimizing the model of objective function. (English) Zbl 1397.90351 Math. Program. 171, No. 1-2 (A), 311-330 (2018). MSC: 90C29 90C25 90C05 PDFBibTeX XMLCite \textit{Yu. Nesterov}, Math. Program. 171, No. 1--2 (A), 311--330 (2018; Zbl 1397.90351) Full Text: DOI
Grapiglia, G. N.; Nesterov, Yurii Regularized Newton methods for minimizing functions with Hölder continuous hessians. (English) Zbl 1406.49029 SIAM J. Optim. 27, No. 1, 478-506 (2017). MSC: 49M15 49M37 58C15 90C25 90C30 PDFBibTeX XMLCite \textit{G. N. Grapiglia} and \textit{Y. Nesterov}, SIAM J. Optim. 27, No. 1, 478--506 (2017; Zbl 1406.49029) Full Text: DOI
Nesterov, Yu. Accelerating the cubic regularization of Newton’s method on convex problems. (English) Zbl 1167.90013 Math. Program. 112, No. 1 (B), 159-181 (2008). Reviewer: Berwin A. Turlach (Crawley) MSC: 90C25 90C30 49M15 49M37 58C15 PDFBibTeX XMLCite \textit{Yu. Nesterov}, Math. Program. 112, No. 1 (B), 159--181 (2008; Zbl 1167.90013) Full Text: DOI
Nesterov, Yu. Modified Gauss-Newton scheme with worst case guarantees for global performance. (English) Zbl 1136.65051 Optim. Methods Softw. 22, No. 3, 469-483 (2007). Reviewer: Vasilis Dimitriou (Chania) MSC: 65H10 65K05 90C26 65Y20 90C51 PDFBibTeX XMLCite \textit{Yu. Nesterov}, Optim. Methods Softw. 22, No. 3, 469--483 (2007; Zbl 1136.65051) Full Text: DOI
Nesterov, Yurii; Polyak, B. T. Cubic regularization of Newton method and its global performance. (English) Zbl 1142.90500 Math. Program. 108, No. 1 (A), 177-205 (2006). MSC: 90C53 90C30 PDFBibTeX XMLCite \textit{Y. Nesterov} and \textit{B. T. Polyak}, Math. Program. 108, No. 1 (A), 177--205 (2006; Zbl 1142.90500) Full Text: DOI