A powerful truncated Newton method for potential energy minimization
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Computational Chemistry"
DOI: 10.1002/jcc.540080711
Abstract: With advances in computer architecture and software, Newton methods are becoming not only feasible for large‐scale nonlinear optimization problems, but also reliable, fast and efficient. Truncated Newton methods, in particular, are emerging as a versatile… read more here.
Keywords: potential energy; method; minimization; truncated newton ... See more keywords
FEM×DEM multiscale modeling: Model performance enhancement from Newton strategy to element loop parallelization
Sign Up to like & getrecommendations! Published in 2018 at "International Journal for Numerical Methods in Engineering"
DOI: 10.1002/nme.5732
Abstract: The paper presents a multiscale model based on a FEMxDEM approach, a method that couples Discrete Elements at the micro-scale and Finite Elements at the macro-scale. FEMxDEM has proven to be an effective way to… read more here.
Keywords: parallelization; element; model; strategy ... See more keywords
A Robin‐Neumann scheme with quasi‐Newton acceleration for partitioned fluid‐structure interaction
Sign Up to like & getrecommendations! Published in 2022 at "International Journal for Numerical Methods in Engineering"
DOI: 10.1002/nme.7151
Abstract: The Dirichlet–Neumann scheme is the most common partitioned algorithm for fluid‐structure interaction (FSI) and offers high flexibility concerning the solvers employed for the two subproblems. Nevertheless, it is not without shortcomings: to begin with, the… read more here.
Keywords: dirichlet; robin neumann; neumann scheme; newton ... See more keywords
Proximal quasi-Newton methods for regularized convex optimization with linear and accelerated sublinear convergence rates
Sign Up to like & getrecommendations! Published in 2018 at "Computational Optimization and Applications"
DOI: 10.1007/s10589-017-9964-z
Abstract: A general, inexact, efficient proximal quasi-Newton algorithm for composite optimization problems has been proposed by Scheinberg and Tang (Math Program 160:495–529, 2016) and a sublinear global convergence rate has been established. In this paper, we… read more here.
Keywords: newton algorithm; proximal quasi; quasi newton; optimization ... See more keywords
Riemannian Newton optimization methods for the symmetric tensor approximation problem
Sign Up to like & getrecommendations! Published in 2021 at "Linear Algebra and its Applications"
DOI: 10.1016/j.laa.2021.12.008
Abstract: The Symmetric Tensor Approximation problem (STA) consists of approximating a symmetric tensor or a homogeneous polynomial by a linear combination of symmetric rank-1 tensors or powers of linear forms of low symmetric rank. We present… read more here.
Keywords: newton; tensor; symmetric tensor; approximation problem ... See more keywords
Efficient and practical Newton solvers for non-linear Stokes systems in geodynamic problems
Sign Up to like & getrecommendations! Published in 2019 at "Geophysical Journal International"
DOI: 10.1093/gji/ggz183
Abstract: Many problems in geodynamic modelling result in a non-linear Stokes problem in which the viscosity depends on the strain rate and pressure (in addition to other variables). After discretization, the resulting non-linear system is most… read more here.
Keywords: non linear; practical newton; newton; newton solvers ... See more keywords
The Sequential Fusion Estimation Algorithms Based on Gauss-Newton Method Over Multi-Agent Networked Systems
Sign Up to like & getrecommendations! Published in 2020 at "IEEE Access"
DOI: 10.1109/access.2020.3003984
Abstract: In multi-agent networked systems, parameter estimation problems arising in many practical applications are often required to solve Non-Linear Least Squares (NLLS) problems with the usual objective function (i.e., sum of squared residuals). The aim is… read more here.
Keywords: agent networked; newton; multi agent; gauss newton ... See more keywords
EI-NK: A Robust Exponential Integrator Method With Singularity Removal and Newton–Raphson Iterations for Transient Nonlinear Circuit Simulation
Sign Up to like & getrecommendations! Published in 2022 at "IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems"
DOI: 10.1109/tcad.2021.3098749
Abstract: In this article, we propose an exponential-integrator-Newton–Krylov (EI-NK) method for transient simulation of large-scale nonlinear circuits. This method aims to address two long-standing problems that affect the performance and robustness of EI in handling nonlinear… read more here.
Keywords: exponential integrator; newton raphson; method; simulation ... See more keywords
AdaCN: An Adaptive Cubic Newton Method for Nonconvex Stochastic Optimization
Sign Up to like & getrecommendations! Published in 2021 at "Computational Intelligence and Neuroscience"
DOI: 10.1155/2021/5790608
Abstract: In this work, we introduce AdaCN, a novel adaptive cubic Newton method for nonconvex stochastic optimization. AdaCN dynamically captures the curvature of the loss landscape by diagonally approximated Hessian plus the norm of difference between… read more here.
Keywords: method nonconvex; cubic newton; adaptive cubic; newton method ... See more keywords
The National States Rights Party: A History by Michael Newton (review)
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Southern History"
DOI: 10.1353/soh.2018.0235
Abstract: The National States Rights Party: A History by Michael Newton recounts in exacting detail the history of the fascist organization that nominated Arkansas governor Orval E. Faubus for the U.S. presidency in 1960. Founded in… read more here.
Keywords: states rights; national states; party; rights party ... See more keywords
How to Obtain Global Convergence Domains via Newton’s Method for Nonlinear Integral Equations
Sign Up to like & getrecommendations! Published in 2019 at "Mathematics"
DOI: 10.3390/math7060553
Abstract: We use the theoretical significance of Newton’s method to draw conclusions about the existence and uniqueness of solution of a particular type of nonlinear integral equations of Fredholm. In addition, we obtain a domain of… read more here.
Keywords: integral equations; newton; newton method; nonlinear integral ... See more keywords