Modified Newton-Type Iteration Methods for Generalized Absolute Value Equations
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Optimization Theory and Applications"
DOI: 10.1007/s10957-018-1439-6
Abstract: In this paper, by separating the differential and the non-differential parts of the generalized absolute value equations, a class of modified Newton-type iteration methods are proposed. The modified Newton-type iteration method involves the well-known Picard… read more here.
Keywords: iteration; type iteration; iteration methods; newton type ... See more keywords
Extended Newton-type iteration for nonlinear ill-posed equations in Banach space
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Applied Mathematics and Computing"
DOI: 10.1007/s12190-018-01221-2
Abstract: In this paper, we study nonlinear ill-posed equations involving m-accretive mappings in Banach spaces. We produce an extended Newton-type iterative scheme that converges cubically to the solution which uses assumptions only on the first Fréchet… read more here.
Keywords: nonlinear ill; posed equations; ill posed; extended newton ... See more keywords
A global Newton-type scheme based on a simplified Newton-type approach
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Applied Mathematics and Computing"
DOI: 10.1007/s12190-020-01393-w
Abstract: Globalization concepts for Newton-type iteration schemes are widely used when solving nonlinear problems numerically. Most of these schemes are based on a predictor/corrector step size methodology with the aim of steering an initial guess to… read more here.
Keywords: type; newton type; methodology; type iteration ... See more keywords
Convergence of the Newton-type methods for the square inverse singular value problems with multiple and zero singular values
Sign Up to like & getrecommendations! Published in 2019 at "Applied Numerical Mathematics"
DOI: 10.1016/j.apnum.2019.03.011
Abstract: Abstract In this paper, we study the convergence of the Newton-type methods for solving the square inverse singular value problem with possible multiple and zero singular values. Comparing with other known results, positivity assumption of… read more here.
Keywords: newton type; square inverse; inverse singular; convergence newton ... See more keywords
Newton-Type Alternating Minimization Algorithm for Convex Optimization
Sign Up to like & getrecommendations! Published in 2019 at "IEEE Transactions on Automatic Control"
DOI: 10.1109/tac.2018.2872203
Abstract: We propose a Newton-type alternating minimization algorithm (NAMA) for solving structured nonsmooth convex optimization problems where the sum of two functions is to be minimized, one being strongly convex and the other composed with a… read more here.
Keywords: alternating minimization; newton type; minimization algorithm;
Communication-Efficient Federated Learning: A Second Order Newton-Type Method With Analog Over-the-Air Aggregation
Sign Up to like & getrecommendations! Published in 2022 at "IEEE Transactions on Green Communications and Networking"
DOI: 10.1109/tgcn.2022.3173420
Abstract: Owing to their fast convergence, second-order Newton-type learning methods have recently received attention in the federated learning (FL) setting. However, current solutions are based on communicating the Hessian matrices from the devices to the parameter… read more here.
Keywords: communication efficient; communication; method; order ... See more keywords
FedHybrid: A Hybrid Federated Optimization Method for Heterogeneous Clients
Sign Up to like & getrecommendations! Published in 2023 at "IEEE Transactions on Signal Processing"
DOI: 10.1109/tsp.2023.3240083
Abstract: We consider a distributed consensus optimization problem over a server-client (federated) network, where all clients are connected to a central server. Current distributed algorithms fail to capture the heterogeneity in clients' local computation capacities. Motivated… read more here.
Keywords: heterogeneous clients; method; fedhybrid hybrid; optimization ... See more keywords
A New Approach to Newton-Type Polynomial Interpolation with Parameters
Sign Up to like & getrecommendations! Published in 2020 at "Mathematical Problems in Engineering"
DOI: 10.1155/2020/9020541
Abstract: Newton’s interpolation is a classical polynomial interpolation approach and plays a significant role in numerical analysis and image processing. The interpolation function of most classical approaches is unique to the given data. In this paper,… read more here.
Keywords: polynomial interpolation; parameters new; newton type; interpolation ... See more keywords
A Newton-type method for non-linear eigenproblems
Sign Up to like & getrecommendations! Published in 2017 at "Russian Journal of Numerical Analysis and Mathematical Modelling"
DOI: 10.1515/rnam-2017-0022
Abstract: Abstract This work is devoted to computations of invariant pairs associated with separated groups of finite eigenvalues of large regular non-linear matrix pencils. It is proposed to combine the method of successive linear problems with… read more here.
Keywords: type method; method non; linear eigenproblems; non linear ... See more keywords
Newton-Type Methods for Solving Equations in Banach Spaces: A Unified Approach
Sign Up to like & getrecommendations! Published in 2022 at "Symmetry"
DOI: 10.3390/sym15010015
Abstract: A plethora of quantum physics problems are related to symmetry principles. Moreover, by using symmetry theory and mathematical modeling, these problems reduce to solving iteratively finite differences and systems of nonlinear equations. In particular, Newton-type… read more here.
Keywords: banach spaces; convergence; newton type; type methods ... See more keywords