Results 1 to 10 of about 827,272 (299)
Reducing Chaos and Bifurcations in Newton-Type Methods [PDF]
Abstract and Applied Analysis, 2013 We study the dynamics of some Newton-type iterative methods when they are applied of polynomials degrees two and three. The methods are free of high-order derivatives which are the main limitation of the classical high-order iterative schemes.
S. Amat, S. Busquier, Á. A. Magreñán
doaj +7 more sources
On two families of high order Newton type methods
Applied Mathematics Letters, 2012 We study a general class of high order Newton type methods. The schemes consist of the application of several steps of Newton type methods with frozen derivatives. We are interested to improve the order of convergence in each sub-step.
Busquier, S. +3 more
core +5 more sources
Employing a Monte Carlo algorithm in Newton-type methods for restricted maximum likelihood estimation of genetic parameters. [PDF]
PLoS ONE, 2013 Estimation of variance components by Monte Carlo (MC) expectation maximization (EM) restricted maximum likelihood (REML) is computationally efficient for large data sets and complex linear mixed effects models.
Kaarina Matilainen +4 more
doaj +2 more sources
Newton type iterative methods with higher order of convergence
Journal of Numerical Analysis and Approximation Theory, 2016 Newton type iterative methods are obtained with higher order of convergence and with higher efficiency. The methods have been compared with the similar existing methods of recent times.
Pankaj Jain +2 more
doaj +4 more sources
Third-Order Newton-Type Methods Combined with Vector Extrapolation for Solving Nonlinear Systems [PDF]
Abstract and Applied Analysis, 2014 We present a third-order method for solving the systems of nonlinear equations. This method is a Newton-type scheme with the vector extrapolation. We establish the local and semilocal convergence of this method.
Wen Zhou, Jisheng Kou
doaj +2 more sources
Journal of Complexity, 2010 We introduce the new idea of recurrent functions to provide a semilocal convergence analysis for an inexact Newton-type method, using outer inverses.
Saïd Hilout +3 more
core +3 more sources
Mathematics, 2023 We introduce fractal Newton methods for solving (Formula presented.) that generalize and improve the classical Newton method. We compare the theoretical efficacy of the classical and fractal Newton methods and illustrate the theory with ...
Grow, David E. +3 more
core +3 more sources
Newton-Type Methods For Simultaneous Matrix Diagonalization
Calcolo, 2022 This paper proposes a Newton-type method to solve numerically the eigenproblem of several diagonalizable matrices, which pairwise commute. A classical result states that these matrices are simultaneously diagonalizable.
Yakoubsohn, Jean-Claude +2 more
core +3 more sources
Projected Newton-type methods in machine learning [PDF]
, 2011 We consider projected Newton-type methods for solving large-scale optimization problems arising in machine learning and related fields. We first introduce an algorithmic framework for projected Newton-type methods by reviewing a canonical projected ...
Sra, S., Kim, D., Schmidt, M.
core +4 more sources
Inexact Nonconvex Newton-Type Methods [PDF]
INFORMS Journal on Optimization, 2021 The paper aims to extend the theory and application of nonconvex Newton-type methods, namely trust region and cubic regularization, to the settings in which, in addition to the solution of subproblems, the gradient and the Hessian of the objective function are approximated. Using certain conditions on such approximations, the paper establishes optimal
Zhewei Yao +3 more
openaire +3 more sources