Berry, Jules; Ley, Olivier; Silva, Francisco J. Approximation and perturbations of stable solutions to a stationary mean field game system. (English. French summary) Zbl 07980669 J. Math. Pures Appl. (9) 194, Article ID 103666, 28 p. (2025). MSC: 35J47 35Q89 65N30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gesteau, Elliott Large \(N\) von Neumann algebras and the renormalization of Newton’s constant. (English) Zbl 07977306 Commun. Math. Phys. 406, No. 2, Paper No. 40, 33 p. (2025). MSC: 83C57 83C47 81R15 81T35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Baraldi, Robert J.; Kouri, Drew P. Efficient proximal subproblem solvers for a nonsmooth trust-region method. (English) Zbl 07971698 Comput. Optim. Appl. 90, No. 1, 193-226 (2025). MSC: 90Cxx 49M15 49M37 65K05 65K10 90C06 90C30 × Cite Format Result Cite Review PDF Full Text: DOI
He, Jiewen; Vong, Seakweng Newton-type methods for solving vertical linear complementarity problems. (English) Zbl 07968723 J. Comput. Appl. Math. 460, Article ID 116418, 11 p. (2025). MSC: 90Cxx 65Kxx 65Fxx × Cite Format Result Cite Review PDF Full Text: DOI
Li, Xun-Jian; Li, Shuang; Tian, Guo-Liang A new MM algorithm for root-finding problems. (English) Zbl 07972520 Stat. Neerl. 78, No. 4, 692-701 (2024). MSC: 62Nxx 65Cxx 90Cxx × Cite Format Result Cite Review PDF Full Text: DOI
Kelley, C. T. Newton’s method in three precisions. (English) Zbl 07968189 Pac. J. Optim. 20, No. 3, 461-474 (2024). MSC: 65H10 65F05 65F10 45G10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Févotte, François; Rappaport, Ari; Vohralík, Martin Adaptive regularization for the Richards equation. (English) Zbl 07966513 Comput. Geosci. 28, No. 6, 1371-1388 (2024). MSC: 76S05 76-10 49M15 × Cite Format Result Cite Review PDF Full Text: DOI
Bahi, Mostafa; Beggas, Mohammed; Nesba, Nourelhouda; Imtiaz, Ahmad A numerical solution of parabolic quasi-variational inequality nonlinear using Newton-multigrid method. (English) Zbl 07947229 Iran. J. Numer. Anal. Optim. 14, No. 4, 991-1015 (2024). MSC: 65M55 65M60 65F10 × Cite Format Result Cite Review PDF Full Text: DOI
Weng, Peter Chang-Yi; Phoa, Frederick Kin Hing A refinement of approximate invariant subspaces of matrices based on SVD in high dimensionality reduction and image compression. (English) Zbl 07927135 Taiwanese J. Math. 28, No. 5, 877-912 (2024). MSC: 65F15 65F45 65D18 × Cite Format Result Cite Review PDF Full Text: DOI Link
Argyros, Ioannis K.; George, Santhosh On the complexity of extending the convergence domain of Newton’s method under the weak majorant condition. (English) Zbl 1548.65143 Can. Math. Bull. 67, No. 3, 781-795 (2024). MSC: 65K15 90C30 49M15 × Cite Format Result Cite Review PDF Full Text: DOI
Chau, Huy N.; Kirkby, J. Lars; Nguyen, Dang H.; Nguyen, Duy; Nguyen, Nhu N.; Nguyen, Thai On the inversion-free Newton’s method and its applications. (English) Zbl 07920300 Int. Stat. Rev. 92, No. 2, 284-321 (2024). MSC: 90C53 × Cite Format Result Cite Review PDF Full Text: DOI
Saak, Jens; Werner, Steffen W. R. Using \(LDL^\mathrm{T}\) factorizations in Newton’s method for solving general large-scale algebraic Riccati equations. (English) Zbl 1548.65097 ETNA, Electron. Trans. Numer. Anal. 62, 95-118 (2024). MSC: 65F45 65F55 65H10 15A24 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Sutti, Marco A single shooting method with approximate Fréchet derivative for computing geodesics on the Stiefel manifold. (English) Zbl 1547.65099 ETNA, Electron. Trans. Numer. Anal. 60, 501-519 (2024). MSC: 65L10 65F45 65F60 53C22 58C15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ahmadi, Amir Ali; Chaudhry, Abraar; Zhang, Jeffrey Higher-order Newton methods with polynomial work per iteration. (English) Zbl 07916599 Adv. Math. 452, Article ID 109808, 27 p. (2024). MSC: 90C22 90C53 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bouhamed, Abdelhak; Elkabouss, Abella; de Carvalho, Pitágoras P.; Bouzahir, Hassane Boundary optimal control problem of semi-linear Kirchhoff plate equation. (English) Zbl 1547.49003 Nonlinear Anal., Real World Appl. 80, Article ID 104146, 22 p. (2024). MSC: 49J15 65K10 49M15 × Cite Format Result Cite Review PDF Full Text: DOI
Xie, Yue; Wright, Stephen J. Complexity of a projected Newton-CG method for optimization with bounds. (English) Zbl 07915912 Math. Program. 207, No. 1-2 (A), 107-144 (2024). MSC: 68Q25 90C06 90C30 90C60 49M15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gryazina, E. N.; Baluev, D. Y. Investigation of feasible and marginal operating regimes of electric power systems. (English. Russian original) Zbl 1542.93150 Autom. Remote Control 85, No. 5, 461-471 (2024); translation from Avtom. Telemekh. 2024, No. 5, 112-128 (2024). MSC: 93B70 49M15 × Cite Format Result Cite Review PDF Full Text: DOI
Kamijima, Tomoya; Sato, Shun; Ushiyama, Kansei; Matsuo, Takayasu; Tanaka, Ken’ichiro Analysis of continuous dynamical system models with Hessians derived from optimization methods. (English) Zbl 07910132 JSIAM Lett. 16, 29-32 (2024). Reviewer: Behzad Djafari-Rouhani (El-Paso) MSC: 37N40 49M15 49K15 × Cite Format Result Cite Review PDF Full Text: DOI
Kim, Dongho; Park, Eun-Jae; Seo, Boyoon Adaptive multi-level algorithm for a class of nonlinear problems. (English) Zbl 1543.65193 Comput. Methods Appl. Math. 24, No. 3, 747-776 (2024). MSC: 65N30 65N15 65N50 76D05 76M10 × Cite Format Result Cite Review PDF Full Text: DOI
Qiu, Lida; Fan, Linyuan; Tang, Jiade; Alfouneh, Mahmoud TOBN-CFMV: hybrid topology optimization-based Newton’s method and conjugate finite mean value for RBTO of compliance problems. (English) Zbl 07897535 Comput. Methods Appl. Mech. Eng. 429, Article ID 117096, 19 p. (2024). MSC: 74P15 65K10 × Cite Format Result Cite Review PDF Full Text: DOI
Feng, Ting-Ting; Chu, Eric King-Wah Newton’s method for coupled continuous-time algebraic Riccati equations. (English) Zbl 1545.65178 J. Appl. Math. Comput. 70, No. 2, 1023-1042 (2024). MSC: 65F45 15A24 × Cite Format Result Cite Review PDF Full Text: DOI
Vu, Bao Anh; Gunawan, David; Zammit-Mangion, Andrew R-VGAL: a sequential variational Bayes algorithm for generalised linear mixed models. (English) Zbl 1541.62023 Stat. Comput. 34, No. 3, Paper No. 110, 15 p. (2024); correction ibid. 34, No. 5, Paper No. 169, 1 p. (2024). MSC: 62-08 62F15 62J12 62L20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Møyner, Olav; Rasmussen, Atgeirr F.; Klemetsdal, Øystein; Nilsen, Halvor M.; Moncorgé, Arthur; Lie, Knut-Andreas Nonlinear domain-decomposition preconditioning for robust and efficient field-scale simulation of subsurface flow. (English) Zbl 1540.76136 Comput. Geosci. 28, No. 2, 241-251 (2024). MSC: 76M20 65F08 76S05 49M27 49M15 × Cite Format Result Cite Review PDF Full Text: DOI
Tvërdyĭ, Dmitriĭ Aleksandrovich; Parovik, Roman Ivanovich Application of high-performance computing to solve the Cauchy problem with the fractional Riccati equation using an nonlocal implicit finite-difference scheme. (Russian. English summary) Zbl 07864148 Vestn. KRAUNTS, Fiz.-Mat. Nauki 46, No. 1, 103-117 (2024). MSC: 65-XX 34A08 65Y05 65M06 × Cite Format Result Cite Review PDF Full Text: DOI MNR
Vohra, Naren; Peszynska, Malgorzata Robust conservative scheme and nonlinear solver for phase transitions in heterogeneous permafrost. (English) Zbl 07834847 J. Comput. Appl. Math. 442, Article ID 115719, 25 p. (2024). MSC: 65Mxx 65Nxx 35Kxx × Cite Format Result Cite Review PDF Full Text: DOI
Dai, Xuefei; Guan, Chaoyue; Niu, Jing An efficient numerical algorithm for solving nonlinear fractional Volterra integro-differential equation. (English) Zbl 1549.65551 Comput. Appl. Math. 43, No. 1, Paper No. 66, 21 p. (2024). MSC: 65R20 45J05 26A33 45D05 65J15 65L20 × Cite Format Result Cite Review PDF Full Text: DOI
Shao, Xin-Hui; Wang, Zhe The nonsmooth Newton’s method for the horizontal nonlinear complementarity problem. (English) Zbl 1536.65065 Numer. Algorithms 96, No. 1, 75-103 (2024). MSC: 65K05 65F10 90C33 × Cite Format Result Cite Review PDF Full Text: DOI
He, Huan; Tang, Ziyuan; Zhao, Shifan; Saad, Yousef; Xi, Yuanzhe nlTGCR: a class of nonlinear acceleration procedures based on conjugate residuals. (English) Zbl 1535.65066 SIAM J. Matrix Anal. Appl. 45, No. 1, 712-743 (2024). MSC: 65H10 65F10 65K05 90C53 68T07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ivanova, Anastasia; Hildebrand, Roland Optimal step length for the maximal decrease of a self-concordant function by the Newton method. (English) Zbl 1543.90304 Optim. Lett. 18, No. 3, 847-854 (2024). MSC: 90C53 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Baraldi, Robert J.; Kouri, Drew P. Local convergence analysis of an inexact trust-region method for nonsmooth optimization. (English) Zbl 1543.90230 Optim. Lett. 18, No. 3, 663-680 (2024). MSC: 90C26 90C53 × Cite Format Result Cite Review PDF Full Text: DOI
Argyros, Ioannis K.; George, Santhosh On a unified convergence analysis for Newton-type methods solving generalized equations with the Aubin property. (English) Zbl 1534.65080 J. Complexity 81, Article ID 101817, 16 p. (2024). MSC: 65J15 47J25 × Cite Format Result Cite Review PDF Full Text: DOI
Castera, Camille; Attouch, Hedy; Fadili, Jalal; Ochs, Peter Continuous Newton-like methods featuring inertia and variable mass. (English) Zbl 1536.37088 SIAM J. Optim. 34, No. 1, 251-277 (2024). MSC: 37N40 49M15 65K10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Upadhyay, Balendu Bhooshan; Pandey, Rupesh Krishna; Liao, Shanli Newton’s method for interval-valued multiobjective optimization problem. (English) Zbl 1549.90140 J. Ind. Manag. Optim. 20, No. 4, 1633-1661 (2024). MSC: 90C29 65K05 90C53 90C70 × Cite Format Result Cite Review PDF Full Text: DOI
Ansari, Qamrul Hasan; Uddin, Moin; Yao, Jen-Chih Convergence of the Gauss-Newton method for convex composite optimization problems under majorant condition on Riemannian manifolds. (English) Zbl 1541.49015 J. Complexity 80, Article ID 101788, 24 p. (2024). Reviewer: Florian Mannel (Lübeck) MSC: 49M15 90C53 65K05 65H05 × Cite Format Result Cite Review PDF Full Text: DOI
Berra, Silvia; La Torraca, Alessandro; Benvenuto, Federico; Sommariva, Sara Combined Newton-gradient method for constrained root-finding in chemical reaction networks. (English) Zbl 1531.65078 J. Optim. Theory Appl. 200, No. 1, 404-427 (2024). MSC: 65K05 90C30 92E20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Randig, Marvin; Schleicher, Dierk; Stoll, Robin Newton’s method in practice. II: The iterated refinement Newton method and near-optimal complexity for finding all roots of some polynomials of very large degrees. (English) Zbl 1522.65075 J. Comput. Appl. Math. 437, Article ID 115427, 20 p. (2024). MSC: 65H04 65E05 30C15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Borndörfer, Ralf; Danecker, Fabian; Weiser, Martin Convergence properties of Newton’ method for globally optimal free flight trajectory optimization (short paper). (English) Zbl 07900658 Frigioni, Daniele (ed.) et al., 23rd symposium on algorithmic approaches for transportation modelling, optimization, and systems, ATMOS, Amsterdam, The Netherlands, September 7–8, 2023. Wadern: Schloss Dagstuhl – Leibniz-Zentrum für Informatik. OASIcs – OpenAccess Ser. Inform. 115, Article 3, 6 p. (2023). MSC: 90C35 90C26 90C53 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kunnarath, Ajil; George, Santhosh; Sadananda, Ramya; Padikkal, Jidesh; Argyros, Ioannis K. On the convergence of open Newton’s method. (English) Zbl 07822466 J. Anal. 31, No. 4, 2473-2500 (2023). MSC: 47H99 49M15 65J15 × Cite Format Result Cite Review PDF Full Text: DOI
Gao, Yijin; Xie, Bowen Numerical analysis for fractional Bratu type equation with explicit and implicit methods. (English) Zbl 1534.65109 Math. Methods Appl. Sci. 46, No. 17, 18447-18457 (2023). MSC: 65L12 34A08 × Cite Format Result Cite Review PDF Full Text: DOI
Kane, Souleye; Samb, Serigne Fallou; Seck, Diaraf Existence and uniqueness of solution for semi-linear conservation laws with velocity field in \(L ^\infty \). (English) Zbl 1532.35301 Diagana, Toka (ed.) et al., Partial differential equations and applications. Colloquium in honor of Hamidou Touré, Ouagadougou, Burkina Faso, November 5–9, 2018. Cham: Springer. Springer Proc. Math. Stat. 420, 1-36 (2023). MSC: 35L65 35L50 35L60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Singh, Manoj K.; Singh, B. R.; Mishra, Deepak Kumar On the convergence of Newton-like MS method with dynamics and applications. (English) Zbl 1539.65062 S\(\vec{\text{e}}\)MA J. 80, No. 4, 663-686 (2023). MSC: 65J15 49M15 65K10 × Cite Format Result Cite Review PDF Full Text: DOI
Xiao, Mengying Superlinear convergence of Anderson accelerated Newton’s method for solving stationary Navier-Stokes equations. (English) Zbl 1535.65287 Numer. Methods Partial Differ. Equations 39, No. 4, 3089-3107 (2023). MSC: 65N30 65H10 65N12 65B99 47H10 76D05 35Q30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kumar, Shubham; Ansary, Md Abu Talhamainuddin; Mahato, Nihar Kumar; Ghosh, Debdas; Shehu, Yekini Newton’s method for uncertain multiobjective optimization problems under finite uncertainty sets. (English) Zbl 1535.90151 J. Nonlinear Var. Anal. 7, No. 5, 785-809 (2023). MSC: 90C29 90C17 65K05 × Cite Format Result Cite Review PDF Full Text: DOI
Bowman, Nathaniel; Heath, Michael T. Computing minimum-volume enclosing ellipsoids. (English) Zbl 1524.68331 Math. Program. Comput. 15, No. 4, 621-650 (2023). MSC: 68T09 90C53 90C90 × Cite Format Result Cite Review PDF Full Text: DOI
Priyadarshana, S.; Mohapatra, J. An efficient computational technique for time dependent semilinear parabolic problems involving two small parameters. (English) Zbl 1522.65150 J. Appl. Math. Comput. 69, No. 5, 3721-3754 (2023). MSC: 65M06 35K58 65M12 × Cite Format Result Cite Review PDF Full Text: DOI
Dai, Xuefei; Niu, Jing; Xu, Yanxin An efficient numerical algorithm for solving nonlinear Volterra integral equations in the reproducing kernel space. (English) Zbl 1545.65498 J. Appl. Math. Comput. 69, No. 4, 3131-3149 (2023). MSC: 65R20 45D05 45G10 × Cite Format Result Cite Review PDF Full Text: DOI
Borndörfer, Ralf; Danecker, Fabian; Weiser, Martin Newton’s method for global free flight trajectory optimization. (English) Zbl 1532.49030 SN Oper. Res. Forum 4, No. 3, Paper No. 63, 41 p. (2023). Reviewer: Florian Mannel (Lübeck) MSC: 49M15 49M37 65L10 65L70 90C26 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Li, Jiawei; Tomin, Pavel; Tchelepi, Hamdi Sequential fully implicit Newton method for flow and transport with natural black-oil formulation. (English) Zbl 1520.86002 Comput. Geosci. 27, No. 3, 485-498 (2023). MSC: 86-08 76-10 × Cite Format Result Cite Review PDF Full Text: DOI
Mishchenko, Konstantin Regularized Newton method with global \(\mathcal{O}(1/k^2)\) convergence. (English) Zbl 1520.65041 SIAM J. Optim. 33, No. 3, 1440-1462 (2023). MSC: 65K05 90C53 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kolditz, Leon; Mang, Katrin; Wick, Thomas A modified combined active-set Newton method for solving phase-field fracture into the monolithic limit. (English) Zbl 1539.74444 Comput. Methods Appl. Mech. Eng. 414, Article ID 116170, 41 p. (2023). MSC: 74S05 74Rxx × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chernov, Alexey; Zhukova, Aleksandra Numerical analysis of the model of optimal savings and borrowing. (English) Zbl 1521.49022 Olenev, Nicholas (ed.) et al., Optimization and applications. 13th international conference, OPTIMA 2022, Petrovac, Montenegro, September 26–30, 2022. Revised selected papers. Cham: Springer. Lect. Notes Comput. Sci. 13781, 165-176 (2023). MSC: 49K45 49M15 90C90 × Cite Format Result Cite Review PDF Full Text: DOI
Baraldi, Robert J.; Kouri, Drew P. A proximal trust-region method for nonsmooth optimization with inexact function and gradient evaluations. (English) Zbl 1522.90113 Math. Program. 201, No. 1-2 (A), 559-598 (2023). MSC: 90C26 65K05 65K10 90C06 90C30 × Cite Format Result Cite Review PDF Full Text: DOI Link
Babayar-Razlighi, Bahman Numerical solution of an influenza model with vaccination and antiviral treatment by the Newton-Chebyshev polynomial method. (English) Zbl 1538.92045 J. Math. Model. 11, No. 1, 103-116 (2023). MSC: 92D30 92C60 34A34 65L99 × Cite Format Result Cite Review PDF Full Text: DOI
Kogelbauer, Florian; Breunung, Thomas When does the method of harmonic balance give a correct prediction for mechanical systems? (English) Zbl 1517.37089 Appl. Anal. 102, No. 2, 425-443 (2023). MSC: 37M99 49M15 70K42 × Cite Format Result Cite Review PDF Full Text: DOI
Paraschiv, Dan Newton-like components in the Chebyshev-Halley family of degree \(n\) polynomials. (English) Zbl 1518.37059 Mediterr. J. Math. 20, No. 3, Paper No. 149, 17 p. (2023). Reviewer: Patricia Dominguez (Puebla) MSC: 37F10 37F31 37F20 37F46 30D05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhang, Yingchao; Mei, Liangcai; Lin, Yingzhen Multiscale orthonormal method for nonlinear system of BVPs. (English) Zbl 1524.65284 Comput. Appl. Math. 42, No. 1, Paper No. 39, 14 p. (2023). MSC: 65L10 34B15 65L20 × Cite Format Result Cite Review PDF Full Text: DOI
Ghiat, Mourad; Tair, Boutheina; Ghuebbai, Hamza; Kamouche, Soumia Block-by-block method for solving non-linear Volterra integral equation of the first kind. (English) Zbl 1505.65319 Comput. Appl. Math. 42, No. 1, Paper No. 67, 21 p. (2023). MSC: 65R20 45D05 × Cite Format Result Cite Review PDF Full Text: DOI
Kumar, Yashveer; Srivastava, Nikhil; Singh, Aman; Singh, Vineet Kumar Wavelets based computational algorithms for multidimensional distributed order fractional differential equations with nonlinear source term. (English) Zbl 1538.65420 Comput. Math. Appl. 132, 73-103 (2023). MSC: 65M70 26A33 34A08 65T60 65L60 65L05 35R11 65M12 65H10 65D32 65M15 42C10 × Cite Format Result Cite Review PDF Full Text: DOI
Schleicher, Dierk On the efficient global dynamics of Newton’s method for complex polynomials. (English) Zbl 1519.37112 Nonlinearity 36, No. 2, 1349-1377 (2023). Reviewer: Mohammad Sajid (Buraydah) MSC: 37N30 37F20 37F10 65H04 65E05 12D10 30C15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ferreira, O. P.; Jean-Alexis, C.; Piétrus, A.; Silva, G. N. On Newton’s method for solving generalized equations. (English) Zbl 1506.65084 J. Complexity 74, Article ID 101697, 17 p. (2023). MSC: 65K15 49M15 90C30 × Cite Format Result Cite Review PDF Full Text: DOI
Novruzi, Arian; Protas, Bartosz An accelerated Sobolev gradient method for unconstrained optimization problems based on variable inner products. (English) Zbl 1504.90200 J. Comput. Appl. Math. 420, Article ID 114833, 18 p. (2023). MSC: 90C53 97N40 65K10 78M50 × Cite Format Result Cite Review PDF Full Text: DOI
Macías, E. M.; Pérez, R.; Martínez, H. J. An explicit polynomial to globalize algorithms for solving matrix polynomial equations. (English) Zbl 1497.65075 J. Comput. Appl. Math. 420, Article ID 114806, 21 p. (2023). MSC: 65F45 15A24 65H10 × Cite Format Result Cite Review PDF Full Text: DOI
Brenner, Konstantin On the monotone convergence of Jacobi-Newton method for mildly nonlinear systems. (English) Zbl 1498.58006 J. Comput. Appl. Math. 419, Article ID 114719, 16 p. (2023). MSC: 58C15 65H10 65H20 65M22 × Cite Format Result Cite Review PDF Full Text: DOI
Regmi, Samundra; Argyros, Christopher Ioannis; Argyros, Ioannis Konstantinos; George, Santhosh Extended Newton’s method with applications to interior point algorithms of mathematical programming. (English) Zbl 1518.65051 Appl. Math. E-Notes 22, 273-280 (2022). MSC: 65H10 65K05 90C33 × Cite Format Result Cite Review PDF Full Text: Link
Yaghjian, Arthur D. Relativistic dynamics of a charged sphere. Updating the Lorentz-Abraham model. 3rd updated and expanded edition. (English) Zbl 1541.78002 Cham: Springer (ISBN 978-3-031-06066-3/hbk; 978-3-031-06069-4/pbk; 978-3-031-06067-0/ebook). xvii, 207 p. (2022). Reviewer: Radosław Szmytkowski (Gdańsk) MSC: 78-02 78A02 78A35 83A05 81V10 78M20 35Q61 × Cite Format Result Cite Review PDF Full Text: DOI
Peng, Shiyu; Weng, Hongming; Dai, Xi RTGW2020: an efficient implementation of the multi-orbital Gutzwiller method with general local interactions. (English) Zbl 1521.81497 Comput. Phys. Commun. 276, Article ID 108348, 20 p. (2022). MSC: 81V70 81Q35 78A25 47A10 39B12 17B22 15A20 70H45 70M20 65R10 × Cite Format Result Cite Review PDF Full Text: DOI
Chin, Siu A. Modern light on ancient feud: Robert Hooke and Newton’s graphical method. (English) Zbl 1515.01008 Hist. Math. 60, 1-14 (2022). MSC: 01A45 37M15 65P10 70F15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chacha, Chacha S. On solution and perturbation estimates for the nonlinear matrix equation \(X-A^*e^XA=I\). (English) Zbl 1505.65177 J. Egypt. Math. Soc. 30, Paper No. 18, 18 p. (2022). MSC: 65F45 15A24 × Cite Format Result Cite Review PDF Full Text: DOI
Zhou, Fang; Jiang, Junzheng; Tay, David B. Distributed reconstruction of time-varying graph signals via a modified Newton’s method. (English) Zbl 1503.94014 J. Franklin Inst. 359, No. 16, 9401-9421 (2022). MSC: 94A12 90C53 90C90 05C90 × Cite Format Result Cite Review PDF Full Text: DOI
Jiang, Run; Li, Yonglin; Wu, Haijun; Zou, Jun Finite element method for a nonlinear perfectly matched layer Helmholtz equation with high wave number. (English) Zbl 1502.65204 SIAM J. Numer. Anal. 60, No. 5, 2866-2896 (2022). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65N30 65H10 65N12 65N15 78A40 78A45 78A60 35Q60 35A01 35A02 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Nagaraj, Sriram Optimization and learning with nonlocal calculus. (English) Zbl 1496.65072 Found. Data Sci. 4, No. 3, 323-353 (2022). MSC: 65K05 68T09 90C30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bassetto, Sabrina; Cancès, Clément; Enchéry, Guillaume; Tran, Quang-Huy On several numerical strategies to solve Richards’ equation in heterogeneous media with finite volumes. (English) Zbl 1496.76132 Comput. Geosci. 26, No. 5, 1297-1322 (2022). MSC: 76S05 76M12 74S10 65H10 × Cite Format Result Cite Review PDF Full Text: DOI HAL
Mouhadjer, Lotfi; Benahmed, Boubakeur A new inversion-free iterative method for solving a class of nonlinear matrix equations. (English) Zbl 1502.15011 Bull. Iran. Math. Soc. 48, No. 5, 2825-2841 (2022). Reviewer: Ali Morassaei (Zanjan) MSC: 15A24 15A45 65F45 × Cite Format Result Cite Review PDF Full Text: DOI
Ho, Chin Pang; Kočvara, Michal; Parpas, Panos Newton-type multilevel optimization method. (English) Zbl 1501.90094 Optim. Methods Softw. 37, No. 1, 45-78 (2022). MSC: 90C30 90C53 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Noakes, Lyle; Zhang, Erchuan Finding geodesics joining given points. (English) Zbl 1503.53083 Adv. Comput. Math. 48, No. 4, Paper No. 50, 27 p. (2022). MSC: 53C22 49M15 × Cite Format Result Cite Review PDF Full Text: DOI
Birken, Philipp; Linders, Viktor Conservation properties of iterative methods for implicit discretizations of conservation laws. (English) Zbl 1501.65046 J. Sci. Comput. 92, No. 2, Paper No. 60, 32 p. (2022). Reviewer: Abdallah Bradji (Annaba) MSC: 65M08 65M06 65N08 65M22 65H10 65L06 65F10 35D30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chen, Qipin; Hao, Wenrui Randomized Newton’s method for solving differential equations based on the neural network discretization. (English) Zbl 1502.65167 J. Sci. Comput. 92, No. 2, Paper No. 49, 22 p. (2022). MSC: 65M75 68T07 49J10 49M15 65M12 65M15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Yue, Meiling; Xu, Fei; Xie, Manting A multilevel Newton’s method for the Steklov eigenvalue problem. (English) Zbl 1492.35398 Adv. Comput. Math. 48, No. 3, Paper No. 33, 29 p. (2022). MSC: 35Q99 65N25 65N30 65N55 × Cite Format Result Cite Review PDF Full Text: DOI
Kirkby, J. Lars; Nguyen, Dang H.; Nguyen, Duy; Nguyen, Nhu N. Inversion-free subsampling Newton’s method for large sample logistic regression. (English) Zbl 1493.62448 Stat. Pap. 63, No. 3, 943-963 (2022). MSC: 62J12 62-08 × Cite Format Result Cite Review PDF Full Text: DOI
Di, Bolei; Lamperski, Andrew Newton’s method, Bellman recursion and differential dynamic programming for unconstrained nonlinear dynamic games. (English) Zbl 1494.91020 Dyn. Games Appl. 12, No. 2, 394-442 (2022). MSC: 91A25 91A10 49L20 49M15 × Cite Format Result Cite Review PDF Full Text: DOI
Choi, Hayoung; Kim, Sang Dong; Shin, Byeong-Chun Choice of an initial guess for Newton’s method to solve nonlinear differential equations. (English) Zbl 1524.65779 Comput. Math. Appl. 117, 69-73 (2022). MSC: 65N30 76D05 65N06 65-02 65M22 76W05 35Q30 35Q31 65H10 35G10 35C05 × Cite Format Result Cite Review PDF Full Text: DOI
Kim, Garam; Kim, Hyun-Min Deep learning approach for solving a quadratic matrix equation. (English) Zbl 1492.65102 East Asian Math. J. 38, No. 1, 95-105 (2022). MSC: 65F45 15A24 65H10 68T07 × Cite Format Result Cite Review PDF Full Text: DOI
Jia, Xiaojing; Liang, Xin; Shen, Chungen; Zhang, Lei-Hong Solving the cubic regularization model by a nested restarting Lanczos method. (English) Zbl 1489.90183 SIAM J. Matrix Anal. Appl. 43, No. 2, 812-839 (2022). MSC: 90C30 90C06 90C53 65K05 65F15 × Cite Format Result Cite Review PDF Full Text: DOI
Alcântara, Adriano A.; Carmo, Bruno A.; Clark, Haroldo R.; Guardia, Ronald R.; Rincon, Mauro A. Nonlinear wave equation with Dirichlet and acoustic boundary conditions: theoretical analysis and numerical simulation. (English) Zbl 1499.35378 Comput. Appl. Math. 41, No. 4, Paper No. 141, 21 p. (2022). MSC: 35L20 65M60 65M06 × Cite Format Result Cite Review PDF Full Text: DOI
Grapiglia, G. N.; Gonçalves, M. L. N.; Silva, G. N. A cubic regularization of Newton’s method with finite difference Hessian approximations. (English) Zbl 1492.65166 Numer. Algorithms 90, No. 2, 607-630 (2022). MSC: 65K05 90C53 × Cite Format Result Cite Review PDF Full Text: DOI
Balashov, M. V.; Tremba, A. A. Error bound conditions and convergence of optimization methods on smooth and proximally smooth manifolds. (English) Zbl 1490.90224 Optimization 71, No. 3, 711-735 (2022). MSC: 90C26 65K05 46N10 65K10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kouri, D. P. A matrix-free trust-region Newton algorithm for convex-constrained optimization. (English) Zbl 1489.90136 Optim. Lett. 16, No. 3, 983-997 (2022). MSC: 90C26 90C53 × Cite Format Result Cite Review PDF Full Text: DOI
Lavrova, Olga; Polevikov, Viktor Numerical study of the shielding properties of a ferrofluid taking into account magnitophoresis and particle interaction. (English) Zbl 07499250 Math. Model. Anal. 27, No. 1, 161-178 (2022). MSC: 65-XX 35K57 35Q60 65N06 65N38 × Cite Format Result Cite Review PDF Full Text: DOI
Zhadan, V. G. Primal-dual Newton method with steepest descent for the linear semidefinite programming problem: Newton’s system of equations. (English. Russian original) Zbl 1487.90519 Comput. Math. Math. Phys. 62, No. 2, 232-247 (2022); translation from Zh. Vychisl. Mat. Mat. Fiz. 62, No. 2, 232-248 (2022). MSC: 90C22 90C53 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Jiaxi; Ouyang, Wei Newton’s method for solving generalized equations without Lipschitz condition. (English) Zbl 1484.49038 J. Optim. Theory Appl. 192, No. 2, 510-532 (2022). MSC: 49J53 49M15 65K10 90C48 × Cite Format Result Cite Review PDF Full Text: DOI
Sadkane, Miloud Inexact inverse subspace iteration with preconditioning applied to quadratic matrix polynomials. (English) Zbl 1481.65078 Comput. Methods Appl. Math. 22, No. 1, 181-197 (2022). MSC: 65H17 65F15 65F08 × Cite Format Result Cite Review PDF Full Text: DOI
Lee, Eunjung; Na, Hyesun Dual system least-squares finite element method for a hyperbolic problem. (English) Zbl 1482.65213 Comput. Methods Appl. Math. 22, No. 1, 113-131 (2022). MSC: 65N30 65N12 × Cite Format Result Cite Review PDF Full Text: DOI
Mai, Tina; Mortari, Daniele Theory of functional connections applied to quadratic and nonlinear programming under equality constraints. (English) Zbl 1490.65118 J. Comput. Appl. Math. 406, Article ID 113912, 22 p. (2022). MSC: 65K05 90C20 90C25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Behl, Ramandeep; Arora, Himani CMMSE: a novel scheme having seventh-order convergence for nonlinear systems. (English) Zbl 1481.65074 J. Comput. Appl. Math. 404, Article ID 113301, 16 p. (2022). MSC: 65H10 65Y20 × Cite Format Result Cite Review PDF Full Text: DOI
Akrivis, Georgios; Li, Buyang Linearization of the finite element method for gradient flows by Newton’s method. (English) Zbl 07528281 IMA J. Numer. Anal. 41, No. 2, 1411-1440 (2021). MSC: 65Mxx × Cite Format Result Cite Review PDF Full Text: DOI Link
Burachik, Regina S.; Caldwell, Bethany I.; Kaya, C. Yalçın A generalized multivariable Newton method. (English) Zbl 07525619 Fixed Point Theory Algorithms Sci. Eng. 2021, Paper No. 15, 31 p. (2021). MSC: 49M15 65H04 65H10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Li, Jiawei; Tomin, Pavel; Tchelepi, Hamdi Sequential fully implicit Newton method for compositional flow and transport. (English) Zbl 07515443 J. Comput. Phys. 444, Article ID 110541, 20 p. (2021). MSC: 76Mxx 76Sxx 65Fxx × Cite Format Result Cite Review PDF Full Text: DOI
Yaslan. H., Cerdik Numerical solution of the multi-term variable-order space fractional nonlinear partial differential equations. (English) Zbl 1499.35190 Miskolc Math. Notes 22, No. 2, 1027-1038 (2021). MSC: 35G31 35R11 65M70 × Cite Format Result Cite Review PDF Full Text: DOI
Iben, U.; Dörr, A.; Boeru, E.; Astrakhantsev, N. Inversion of equations of state by combining multi-task neural networks and Newton’s method. (English) Zbl 07484767 Inverse Probl. Sci. Eng. 29, No. 13, 3490-3508 (2021). MSC: 76Mxx 76Nxx 76Jxx × Cite Format Result Cite Review PDF Full Text: DOI
Sharma, Debasis; Parhi, Sanjaya Kumar Local convergence of two Newton-like methods under Hölder continuity condition in Banach spaces. (English) Zbl 1482.65083 Int. J. Math. Oper. Res. 19, No. 4, 500-514 (2021). MSC: 65J15 49M15 × Cite Format Result Cite Review PDF Full Text: DOI