Local convergence for permutations and local limits for uniform $$\rho $$ρ-avoiding permutations with $$|\rho |=3$$|ρ|=3
Sign Up to like & getrecommendations! Published in 2019 at "Probability Theory and Related Fields"
DOI: 10.1007/s00440-019-00922-4
Abstract: We set up a new notion of local convergence for permutations and we prove a characterization in terms of proportions of consecutive pattern occurrences. We also characterize random limiting objects for this new topology introducing… read more here.
Keywords: avoiding permutations; limits uniform; local limits; local convergence ... See more keywords
Local Convergence of Random Graph Colorings
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DOI: 10.1007/s00493-016-3394-x
Abstract: Let G = G(n, m) be a random graph whose average degree d = 2m/n is below the k-colorability threshold. If we sample a k-coloring σ of G uniformly at random, what can we say… read more here.
Keywords: local convergence; convergence random; graph colorings; random graph ... See more keywords
Local convergence of the Levenberg–Marquardt method under Hölder metric subregularity
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DOI: 10.1007/s10444-019-09708-7
Abstract: We describe and analyse Levenberg–Marquardt methods for solving systems of nonlinear equations. More specifically, we propose an adaptive formula for the Levenberg–Marquardt parameter and analyse the local convergence of the method under Hölder metric subregularity… read more here.
Keywords: levenberg marquardt; local convergence; lder;
On a two-step optimal Steffensen-type method: Relaxed local and semi-local convergence analysis and dynamical stability
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2018.08.007
Abstract: Abstract In this paper, we study on the local and semi-local convergence and dynamic of an iterative optimal two-step Steffensen's method. We study local convergence by using Lipschitz conditions and continuity of differentiable function F.… read more here.
Keywords: local semi; method; two step; local convergence ... See more keywords
Local Convergence Balls for Nonlinear Problems with Multiplicity and Their Extension to Eighth-Order Convergence
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DOI: 10.1155/2019/1427809
Abstract: The main contribution of this study is to present a new optimal eighth-order scheme for locating zeros with multiplicity . An extensive convergence analysis is presented with the main theorem in order to demonstrate the… read more here.
Keywords: order; eighth order; order convergence; local convergence ... See more keywords
Extending the Domain with Application of Four-Step Nonlinear Scheme with Average Lipschitz Conditions
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DOI: 10.3390/math11081774
Abstract: A novel local and semi-local convergence theorem for the four-step nonlinear scheme is presented. Earlier studies on local convergence were conducted without particular assumption on Lipschitz constant. In first part, the main local convergence theorems… read more here.
Keywords: step nonlinear; average lipschitz; local convergence; four step ... See more keywords
Local Convergence of Solvers with Eighth Order Having Weak Conditions
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DOI: 10.3390/sym12010070
Abstract: In particular, the problem of approximating a solution of an equation is of extreme importance in many disciplines, since numerous problems from diverse disciplines reduce to solving such equations. The solutions are found using iterative… read more here.
Keywords: order; solvers eighth; eighth order; convergence solvers ... See more keywords