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Local Convergence and Radius of Convergence for Modified Newton Method [PDF]

open access: yesAnnals of the West University of Timisoara: Mathematics and Computer Science, 2017
We investigate the local convergence of modified Newton method, i.e., the classical Newton method in which the derivative is periodically re-evaluated.
Măruşter Ştefan
doaj   +3 more sources

Estimating the Local Radius of Convergence for Picard Iteration [PDF]

open access: yesAlgorithms, 2017
In this paper, we propose an algorithm to estimate the radius of convergence for the Picard iteration in the setting of a real Hilbert space. Numerical experiments show that the proposed algorithm provides convergence balls close to or even identical to ...
Ştefan Măruşter
doaj   +3 more sources

Linear convergence of the NQZ algorithm for finding the H-spectral radius of nonnegative tensors. [PDF]

open access: yesPLoS ONE
The R-linear convergence of the NQZ algorithm for computing the H-spectral radius of a class of weakly irreducible nonnegative tensors is established by utilizing the directed graphs of tensors. Meanwhile, an upper bound for the root convergence factor R
Hongbin Lv, Meixiang Chen
doaj   +2 more sources

Elastic Theory Has Zero Radius of Convergence [PDF]

open access: yesPhysical 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.
openaire   +3 more sources

Convergence of hydrodynamic modes: insights from kinetic theory and holography

open access: yesSciPost Physics, 2021
We study the mechanisms setting the radius of convergence of hydrodynamic dispersion relations in kinetic theory in the relaxation time approximation.
Michal P. Heller, Alexandre Serantes, Michał Spaliński, Viktor Svensson, Benjamin Withers
doaj   +1 more source

Regularization of Diagrammatic Series with Zero Convergence Radius [PDF]

open access: yesPhysical 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
openaire   +3 more sources

Extended convergence analysis of Newton-Potra solver for equations

open access: yesJournal of Numerical Analysis and Approximation Theory, 2020
In the paper a local and a semi-local convergence of combined iterative process for solving nonlinear operator equations is investigated. This solver is built based on Newton solver and has R-convergence order 1.839....
Ioannis Argyros   +3 more
doaj   +7 more sources

Quasinormal modes in charged fluids at complex momentum

open access: yesJournal of High Energy Physics, 2020
We investigate the convergence of relativistic hydrodynamics in charged fluids, within the framework of holography. On the one hand, we consider the analyticity properties of the dispersion relations of the hydrodynamic modes on the complex frequency and
Aron Jansen, Christiana Pantelidou
doaj   +1 more source

Increasing the order of convergence of multistep methods for solving systems of equations under weak conditions

open access: yesAnnals of the West University of Timisoara: Mathematics and Computer Science, 2019
In the present paper, we consider a construction proposed in Xiao and Yin (2016) to improve the order of convergence of the method from p to p + 2m under weaker assumptions.
Argyros Ioannis K.   +2 more
doaj   +1 more source

High temperature expansion of double scaled SYK

open access: yesPhysics Letters B, 2023
We study the high temperature (or small inverse temperature β) expansion of the free energy of double scaled SYK model. We find that this expansion is a convergent series with a finite radius of convergence. It turns out that the radius of convergence is
Kazumi Okuyama
doaj   +1 more source

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