Results 11 to 20 of about 43,550 (252)
Local convergence radius for the Mann-type iteration [PDF]
Annals of the West University of Timisoara: Mathematics and Computer Science, 2015 A procedure to estimate the local convergence radius for a Mann-type iteration is given in the setting of a finite dimensional space. In particular we obtain the estimation of radius for classical Newton method.
Măruşter Ştefan
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Regularization of Diagrammatic Series with Zero Convergence Radius [PDF]
Physical Review Letters, 2010 The divergence of perturbative expansions for the vast majority of macroscopic systems, which follows from Dyson's collapse argument, prevents Feynman's diagrammatic technique from being directly used for controllable studies of strongly interacting systems.
Pollet, L +2 more
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Elastic Theory Has Zero Radius of Convergence [PDF]
Physical Review Letters, 1996 Nonlinear elastic theory studies the elastic constants of a material (such as Young's modulus or bulk modulus) as a power series in the applied load. The inverse bulk modulus K, for example depends on the compression P: $ {1/ K(P)} = c_0 + c_1 P + c_2 P^2 \cdots + c_n P^n + \cdots $.
Buchel, Alex, Sethna, James P.
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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
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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
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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
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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
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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
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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
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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
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