Sun, Wumei; Liu, Hongwei; Liu, Zexian A regularized limited memory subspace minimization conjugate gradient method for unconstrained optimization. (English) Zbl 07780870 Numer. Algorithms 94, No. 4, 1919-1948 (2023). Reviewer: Hang Lau (Montréal) MSC: 65K05 49M37 90C30 PDFBibTeX XMLCite \textit{W. Sun} et al., Numer. Algorithms 94, No. 4, 1919--1948 (2023; Zbl 07780870) Full Text: DOI arXiv
Sun, Wumei; Liu, Hongwei; Liu, Zexian Several accelerated subspace minimization conjugate gradient methods based on regularization model and convergence rate analysis for nonconvex problems. (English) Zbl 1507.90173 Numer. Algorithms 91, No. 4, 1677-1719 (2022). MSC: 90C30 90C52 90C06 65K05 PDFBibTeX XMLCite \textit{W. Sun} et al., Numer. Algorithms 91, No. 4, 1677--1719 (2022; Zbl 1507.90173) Full Text: DOI
Zhao, Ting; Liu, Hongwei; Liu, Zexian New subspace minimization conjugate gradient methods based on regularization model for unconstrained optimization. (English) Zbl 1472.90133 Numer. Algorithms 87, No. 4, 1501-1534 (2021). MSC: 90C30 90C06 65K05 PDFBibTeX XMLCite \textit{T. Zhao} et al., Numer. Algorithms 87, No. 4, 1501--1534 (2021; Zbl 1472.90133) Full Text: DOI arXiv
Benson, Hande Y.; Shanno, David F. Cubic regularization in symmetric rank-1 quasi-Newton methods. (English) Zbl 1411.90315 Math. Program. Comput. 10, No. 4, 457-486 (2018). MSC: 90C30 90C53 90-08 PDFBibTeX XMLCite \textit{H. Y. Benson} and \textit{D. F. Shanno}, Math. Program. Comput. 10, No. 4, 457--486 (2018; Zbl 1411.90315) Full Text: DOI
Byrd, Richard H.; Chin, Gillian M.; Nocedal, Jorge; Oztoprak, Figen A family of second-order methods for convex \(\ell _1\)-regularized optimization. (English) Zbl 1350.49046 Math. Program. 159, No. 1-2 (A), 435-467 (2016). Reviewer: Guy Jumarie (Montréal) MSC: 49M37 49M15 90C25 90C30 65K05 PDFBibTeX XMLCite \textit{R. H. Byrd} et al., Math. Program. 159, No. 1--2 (A), 435--467 (2016; Zbl 1350.49046) Full Text: DOI
Zhang, Hao; Ni, Qin A new regularized quasi-Newton algorithm for unconstrained optimization. (English) Zbl 1390.90527 Appl. Math. Comput. 259, 460-469 (2015). MSC: 90C30 65H10 68W25 65K05 58C15 49M37 49M15 PDFBibTeX XMLCite \textit{H. Zhang} and \textit{Q. Ni}, Appl. Math. Comput. 259, 460--469 (2015; Zbl 1390.90527) Full Text: DOI
Yuan, Ya-xiang Recent advances in trust region algorithms. (English) Zbl 1317.65141 Math. Program. 151, No. 1 (B), 249-281 (2015). MSC: 65K05 90C30 90C51 PDFBibTeX XMLCite \textit{Y.-x. Yuan}, Math. Program. 151, No. 1 (B), 249--281 (2015; Zbl 1317.65141) Full Text: DOI
Bianconcini, Tommaso; Liuzzi, Giampaolo; Morini, Benedetta; Sciandrone, Marco On the use of iterative methods in cubic regularization for unconstrained optimization. (English) Zbl 1308.90166 Comput. Optim. Appl. 60, No. 1, 35-57 (2015). MSC: 90C30 PDFBibTeX XMLCite \textit{T. Bianconcini} et al., Comput. Optim. Appl. 60, No. 1, 35--57 (2015; Zbl 1308.90166) Full Text: DOI
Xiao, Yunhai; Wu, Soon-Yi; Qi, Liqun Nonmonotone Barzilai-Borwein gradient algorithm for \(\ell_1\)-regularized nonsmooth minimization in compressive sensing. (English) Zbl 1306.65216 J. Sci. Comput. 61, No. 1, 17-41 (2014). Reviewer: Jan Lovíšek (Bratislava) MSC: 65K05 90C26 90C30 90C25 PDFBibTeX XMLCite \textit{Y. Xiao} et al., J. Sci. Comput. 61, No. 1, 17--41 (2014; Zbl 1306.65216) Full Text: DOI arXiv
Benson, Hande Y.; Shanno, David F. Interior-point methods for nonconvex nonlinear programming: cubic regularization. (English) Zbl 1305.90333 Comput. Optim. Appl. 58, No. 2, 323-346 (2014). MSC: 90C26 90C51 PDFBibTeX XMLCite \textit{H. Y. Benson} and \textit{D. F. Shanno}, Comput. Optim. Appl. 58, No. 2, 323--346 (2014; Zbl 1305.90333) Full Text: DOI
Gould, N. I. M.; Porcelli, M.; Toint, P. L. Updating the regularization parameter in the adaptive cubic regularization algorithm. (English) Zbl 1259.90134 Comput. Optim. Appl. 53, No. 1, 1-22 (2012). MSC: 90C30 PDFBibTeX XMLCite \textit{N. I. M. Gould} et al., Comput. Optim. Appl. 53, No. 1, 1--22 (2012; Zbl 1259.90134) Full Text: DOI Link
Friedlander, M. P.; Orban, D. A primal-dual regularized interior-point method for convex quadratic programs. (English) Zbl 1279.90193 Math. Program. Comput. 4, No. 1, 71-107 (2012). MSC: 90C51 90C20 90C05 90C06 90C25 65F22 65F50 PDFBibTeX XMLCite \textit{M. P. Friedlander} and \textit{D. Orban}, Math. Program. Comput. 4, No. 1, 71--107 (2012; Zbl 1279.90193) Full Text: DOI
Cartis, Coralia; Gould, Nicholas I. M.; Toint, Philippe L. Adaptive cubic regularisation methods for unconstrained optimization. I: Motivation, convergence and numerical results. (English) Zbl 1229.90192 Math. Program. 127, No. 2 (A), 245-295 (2011). Reviewer: Francisco Guerra Vazquez (Puebla) MSC: 90C30 65K05 49M37 49M15 58C15 65F10 65H05 PDFBibTeX XMLCite \textit{C. Cartis} et al., Math. Program. 127, No. 2 (A), 245--295 (2011; Zbl 1229.90192) Full Text: DOI
Gould, Nicholas I. M.; Robinson, Daniel P.; Thorne, H. Sue On solving trust-region and other regularised subproblems in optimization. (English) Zbl 1193.65098 Math. Program. Comput. 2, No. 1, 21-57 (2010). Reviewer: Hang Lau (Montréal) MSC: 65K05 65F22 65H05 90C20 90C26 90C30 PDFBibTeX XMLCite \textit{N. I. M. Gould} et al., Math. Program. Comput. 2, No. 1, 21--57 (2010; Zbl 1193.65098) Full Text: DOI Link
Cartis, C.; Gould, N. I. M.; Toint, P. L. Trust-region and other regularisations of linear least-squares problems. (English) Zbl 1165.65019 BIT 49, No. 1, 21-53 (2009). Reviewer: Constantin Popa (Constanţa) MSC: 65F20 65F22 65K05 90C25 90C51 PDFBibTeX XMLCite \textit{C. Cartis} et al., BIT 49, No. 1, 21--53 (2009; Zbl 1165.65019) Full Text: DOI Link
Pham Dinh, Tao; Le Thi Hoai An; Akoa, F. Combining DCA (DC algorithms) and interior point techniques for large-scale nonconvex quadratic programming. (English) Zbl 1151.90508 Optim. Methods Softw. 23, No. 4, 609-629 (2008). MSC: 90C20 90C26 90C51 PDFBibTeX XMLCite \textit{T. Pham Dinh} et al., Optim. Methods Softw. 23, No. 4, 609--629 (2008; Zbl 1151.90508) Full Text: DOI
Gould, Nicholas I. M. Iterative methods for ill-conditioned linear systems from optimization. (English) Zbl 0963.65062 Di Pillo, Gianni (ed.) et al., Nonlinear optimization and related topics. Workshop, Erice, Sicily, Italy, June 23-July 2, 1998. Dordrecht: Kluwer Academic Publishers. Appl. Optim. 36, 123-141 (2000). MSC: 65K05 65F22 90C30 65F10 65F35 PDFBibTeX XMLCite \textit{N. I. M. Gould}, Appl. Optim. 36, 123--141 (2000; Zbl 0963.65062)