Results 21 to 30 of about 166,015,977 (264)
Convergence radius in the Poincaré-Siegel problem
Discrete and Continuous Dynamical Systems - S, 2010 We reconsider the Poincare-Siegel center problem, namely the problem of conjugating an analytic system of differential equations in the neighbourhood of an equilibrium to its linear part $\Lambda=\diag(\lambda_1,\ldots,\lambda_n)$. If the linear part is non--resonant we show that the convergence radius $r$ of the conjugating transformation ...
GIORGILLI A, MARMI, Stefano
openaire +3 more sources
On the local convergence of the Modified Newton method
Annals of the West University of Timisoara: Mathematics and Computer Science, 2019 The aim of this paper is to investigate the local convergence of the Modified Newton method, i.e. the classical Newton method in which the first derivative is re-evaluated periodically after m steps. The convergence order is shown to be m + 1.
Măruşter Ştefan
doaj +1 more source
Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, 2017 This paper is devoted to the study of a multi-step method with divided differences for solving nonlinear equations in Banach spaces. In earlier studies, hypotheses on the Fréchet derivative up to the sixth order of the operator under consideration is ...
Ioannis K. Argyros, Santhosh George
doaj +1 more source
International Journal of Mathematics and Mathematical Sciences, 1979 Suppose ∑n=0∞anzn has radius of convergence R and σN(z)=|∑n=N∞anzn|. Suppose |z1|
J. D. McCall, G. H. Fricke, W. A. Beyer
doaj +1 more source
Local convergence of the Gauss-Newton-Kurchatov method under generalized Lipschitz conditions
Karpatsʹkì Matematičnì Publìkacìï, 2021 We investigate the local convergence of the Gauss-Newton-Kurchatov method for solving nonlinear least squares problems. This method is a combination of Gauss-Newton and Kurchatov methods and it is used for problems with the decomposition of the operator.
S.M. Shakhno, H.P. Yarmola
doaj +1 more source
Ball Comparison for Some Efficient Fourth Order Iterative Methods Under Weak Conditions
Mathematics, 2019 We provide a ball comparison between some 4-order methods to solve nonlinear equations involving Banach space valued operators. We only use hypotheses on the first derivative, as compared to the earlier works where they considered conditions reaching up ...
Ioannis K. Argyros, Ramandeep Behl
doaj +1 more source
Annals of the West University of Timisoara: Mathematics and Computer Science, 2016 In the present paper, we study the local convergence analysis of a fifth convergence order method considered by Sharma and Guha in [15] to solve equations in Banach space.
Argyros Ioannis K., George Santhosh
doaj +1 more source
On the radius of convergence of the logarithmic signature
Illinois Journal of Mathematics, 2006 It has recently been proved that a continuous path of bounded variation in R-d can be characterised in terms of its transform into a sequence of iterated integrals called the signature of the path. The signature takes its values in an algebra and always has a logarithm.
Lyons, Terry J., Sidorova, Nadia
openaire +3 more sources
The Convergence Ball and Error Analysis of the Relaxed Secant Method
Advances in Mathematical Physics, 2017 A relaxed secant method is proposed. Radius estimate of the convergence ball of the relaxed secant method is attained for the nonlinear equation systems with Lipschitz continuous divided differences of first order.
Rongfei Lin +3 more
doaj +1 more source
Inequalities for the Norm and Numerical Radius of Composite Operators in Hilbert Spaces [PDF]
, 2005 Some new inequalities for the norm and the numerical radius of composite operators generated by a pair of operators are ...
Dragomir, Sever S
core +6 more sources