Results 41 to 50 of about 13,152,720 (196)
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
openaire +2 more sources
A Modified Newton-type Method with Order of Convergence Seven for Solving Nonlinear Equations [PDF]
, 2014 In this paper, we mainly study the iterative method for nonlinear equations. We present and analyze a modified seventh-order convergent Newton-type method for solving nonlinear equations. The method is free from second derivatives. Some numerical results
Pang, Lin +3 more
core +1 more source
Low complexity hybrid precoding algorithm for massive MIMO based on modified Newton method
Dianxin kexue, 2023 A phase tracking algorithm was proposed for massivemultiple-input multiple-output(MIMO) systems based on the modified Newton (MN) method, which effectively reduced the high computational complexity in traditional high-performance hybrid precoding schemes.
Bo HU, Anding WANG, Guiyi WEI
doaj +2 more sources
Journal of Harbin University of Science and Technology, 2017 A Modified Broyden algorithm is presented to solve nonlinear equations in this paper． The convergence of the new algorithml is proved． The convergent order and effectiveness of improved Broyden method can be verified by numerical experiments． Through ...
LI Fu-xiang, HUANG Jia-yue
doaj +1 more source
Solving the Nonlinear Economic Equations by Modified Newton Method [PDF]
, 2009 In this paper two ways how to modify the Newton method for solving general equation are presented. The modifications accelerate convergence of the existing method.
Matejaš, Josip, Nakić, Martina
core
AN IMPROVED NEWTON METHOD FOR RADIAL DISTRIBUTION SYSTEM LOAD ANALYSIS
Journal of Engineering, 2006 This paper presents a modified Newton method of load flow analysis for radial distribution systems. It is derived with the Jacobian matrix is in UDUT form, where U is a constant upper triangular matrix depending solely on system topology and D is a ...
Hassan A. Kubba
doaj +1 more source
A Modified q-BFGS Algorithm for Unconstrained Optimization
Mathematics, 2023 This paper presents a modification of the q-BFGS method for nonlinear unconstrained optimization problems. For this modification, we use a simple symmetric positive definite matrix and propose a new q-quasi-Newton equation, which is close to the ordinary
Kin Keung Lai +4 more
doaj +1 more source
Exploring the Convergence Properties of a New Modified Newton-Raphson Root Method [PDF]
, 2020 We examine the convergence properties of a modified Newton-Raphson root method, by using a simple complex polynomial equation, as a test example. In particular, we numerically investigate how a parameter, entering the iterative scheme, affects the ...
Chen, Wei, Zotos, Euaggelo E.
core +1 more source
Structural Optimization Using the Newton Modified Barrier Method [PDF]
, 1995 The Newton Modified Barrier Method (NMBM) is applied to structural optimization problems with large a number of design variables and constraints. This nonlinear mathematical programming algorithm was based on the Modified Barrier Function (MBF) theory ...
Berke, L. +3 more
core
The Newton-Raphson method and adaptive ODE solvers [PDF]
, 2011 The Newton–Raphson method for solving nonlinear equations f(x) = 0 in ℝn is discussed within the context of ordinary differential equations. This framework makes it possible to reformulate the scheme by means of an adaptive step size control procedure ...
THOMAS P. WIHLER +3 more
core +1 more source