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The radius of convergence of dynamical mean-field theory
Physica B: Condensed Matter, 2002The dynamical mean-field theory (DMFT) maps the periodic Anderson-model for infinite U onto a single impurity model with an effective band. This effective band is approximately described by a self-avoiding loop through the lattice with a local scattering matrix and can be written as a power series in that matrix times the unperturbed nearest neighbor ...
Hellmut Keiter, Dirk Otto
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On the radius of convergence of newton's method
International Journal of Computer Mathematics, 2001We present local and semilocal convergence results for Newton's method in a Banach space setting. In particular, using Lipschitz-type assumptions on the second Frechet-derivative we find results concerning the radius of convergence of Newton's method. Such results are useful in the context of predictor–corrector continuation procedures.
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Most Power Series have Radius of Convergence 0 or 1*
Canadian Mathematical Bulletin, 1975Consider a random power series Σ0∞ cn zn, that is, with coefficients {cn}0∞ chosen independently at random from the complex plane. What is the radius of convergence of such a series likely to be?One approach to this question is to let the {cn}0∞ be independent random variables on some probability space.
Fournier, J. J. F., Gauthier, P. M.
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Concerning the radius of convergence of Newton’s method and applications
Korean Journal of Computational & Applied Mathematics, 1999This paper deals with the problem of approximating a local unique solution of a twice continuously Fréchet-differentiable operator defined on an open convex subset of a Banach space. The author presents local and semilocal convergence results for Newton's method.
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Generalized growth of monogenic Taylor series of finite convergence radius
ANNALI DELL'UNIVERSITA' DI FERRARA, 2012zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kumar, Susheel, Bala, Kirandeep
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Radius of convergence of Lie series for some elliptic elements
Celestial Mechanics, 1981For equatorial orbits about an oblate body, we show that the Lie series for the elliptic elementse,f,l and $$\varpi$$ diverge when the oblateness exceeds a critical multiple of the transformed eccentricity constant.
Cohen, C. J., Lyddane, R. H.
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Radius of convergence of the ideal Bose gas virial expansion
Physics Letters A, 1971Abstract The virial expansion for the ideal Bose gas is studied. On basis of the first 116 virtual coefficient the radius of convergence is estimated to be ϱ R = (18.7 ± 0.1) Λ -3 , more than seven times the density at the Bose-Einstein condensation.
ØO. Jenssen, P.C. Hemmer
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The radius of convergence of the Lamé function
2019We consider the radius of convergence of a Lamé function, and we show why Poincaré-Perron theorem is not applicable to the Lamé equation.
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On the radius of convergence of cascaded analytic nonlinear systems
IEEE Conference on Decision and Control and European Control Conference, 2011A complete analysis is presented of the radius of convergence of the cascade connection of two analytic nonlinear input-output systems represented as Fliess operators. Such operators are described by convergent functional series, which are indexed by words over a noncommutative alphabet.
Makhin Thitsa, W. Steven Gray
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Limit Theorems for Power-Series Distributions with Finite Radius of Convergence
Theory of Probability & Its Applications, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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