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A Modified Newton Method for Multilinear PageRank
Taiwanese Journal of Mathematics, 2018 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Guo, Pei-Chang +2 more
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New Modified Newton Type Iterative Methods
Nepal Journal of Mathematical Sciences, 2021 In this work, we present two Newton type iterative methods for finding the solution of nonlinear equations of single variable. One is obtained as variant of McDougall and Wotherspoon method, and another is obtained by amalgamation of Potra and Pta’k method and our newly introduced method. The order of convergence of these methods are 1 + √2 and 3.5615.
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A Newton-Like Trust Region Method for Large-Scale Unconstrained Nonconvex Minimization
Abstract and Applied Analysis, 2013 We present a new Newton-like method for large-scale unconstrained nonconvex minimization. And a new straightforward limited memory quasi-Newton updating based on the modified quasi-Newton equation is deduced to construct the trust region subproblem, in ...
Yang Weiwei +3 more
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A modified feasible semi-smooth asymptotically Newton method for nonlinear complementarity problems
Journal of Inequalities and Applications, 2016 In this paper, a modified feasible semi-smooth asymptotically Newton method for nonlinear complementarity problems is proposed. The global convergence of the method and superlinear convergence are proved under some suitable assumptions.
Changfeng Ma, Baoguo Chen, Shaojun Pan
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Mathematics, 2022 This work proposes the Enhanced Fixed Point Method (EFPM) as a straightforward modification to the problem of finding an exact or approximate solution for a linear or nonlinear algebraic equation.
Uriel Filobello-Nino +6 more
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Local Convergence and Radius of Convergence for Modified Newton Method
Annals of the West University of Timisoara: Mathematics and Computer Science, 2017 We investigate the local convergence of modified Newton method, i.e., the classical Newton method in which the derivative is periodically re-evaluated.
Măruşter Ştefan
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Two-Step Modified Newton Method for Nonlinear Lavrentiev Regularization [PDF]
ISRN Applied Mathematics, 2012 A two step modified Newton method is considered for obtaining an approximate solution for the nonlinear ill-posed equation F(x)=f when the available data are fδ with ‖f−fδ‖≤δ and the operator F is monotone. The derived error estimate under a general source condition on x0−x^ is of optimal order; here x0 is the initial guess and x^ is the actual ...
George, Santhosh, Pareth, Suresan
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Optimal eighth-order multiple root finding iterative methods using bivariate weight function
Results in Control and Optimization, 2023 In this contribution, a novel eighth-order scheme is presented for solving nonlinear equations with multiple roots. The proposed scheme comprises of three steps with the modified Newton method as its first step followed by two weighted Newton steps ...
Rajni Sharma, Ashu Bahl, Ranjita Guglani
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A Modified Newton Method for Nonlinear Eigenvalue Problems
East Asian Journal on Applied Mathematics, 2018 Summary: A modification to the Newton method for nonlinear eigenvalue problems is proposed and locally quadratic convergence of this algorithm is established. Numerical examples show the efficiency of the method and reduced computational cost.
Chen, Xiao-Ping, Dai, Hua
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A Modified Newton Method Formulation for Microwave Imaging [PDF]
2020 IEEE Asia-Pacific Microwave Conference (APMC), 2020 A new variant of Newton type methods has been developed for quantitative microwave imaging. To deal with the ill-posedness of the inverse problems, standard Newton type methods involve a linearization of the so called data equation using the Frechet derivative with respect to the contrast function.
Coşğun, Sema +3 more
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