Results 31 to 40 of about 1,101 (187)
Extending the Applicability of Stirling’s Method
Mathematics, 2019 Stirling’s method is considered as an alternative to Newton’s method when the latter fails to converge to a solution of a nonlinear equation.
Cristina Amorós +5 more
doaj +1 more source
Bayesian clustering of multivariate extremes
Canadian Journal of Statistics, EarlyView.Abstract The asymptotic dependence structure between multivariate extreme values is fully characterized by their projections on the unit simplex. Under mild conditions, the only constraint on the resulting distributions is that their marginal means must be equal, which results in a nonparametric model that can be difficult to use in applications ...
Sonia Alouini, Anthony C. Davison
wiley +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
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Causal analysis of extreme risk in a network of industry portfolios
Canadian Journal of Statistics, EarlyView.Abstract We provide a detailed review of causal dependence within the framework of max‐linear structural models. Such models express each node variable as a max‐linear function of its parental node variables in a directed acyclic graph (DAG) and some exogenous innovation.
Claudia Klüppelberg, Mario Krali
wiley +1 more source
Convergence of Halley's method under centered Lipschitz condition on the second Fréchet derivative
Journal of Numerical Analysis and Approximation Theory, 2013 We present a semi-local as well as a local convergence analysis of Halley's method for approximating a locally unique solution of a nonlinear equation in a Banach space setting.
Ioannis K. Argyros, Hongmin Ren
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FRÉCHET-MARINESCU’S DERIVATIVE IN THE MATHEMATICAL MODELING OF DYNAMIC SYSTEMS [PDF]
Fiabilitate şi Durabilitate, 2013 The paper presents an application of the functional analysis, especially of differentialcalculus in linear topological locally convex spaces leading to formulae representing the evolution ofstates in dynamical systems with infinite fading ...
Eufrosina OTLACAN
doaj
Canadian Journal of Statistics, EarlyView.Abstract Intensity–duration–frequency curves are used by a wide range of professionals to manage the risks related to extreme rainfall. In Canada, these curves are produced by Environment and Climate Change Canada on the basis of Gumbel distributions fitted independently for each accumulation period.
Paul Mathivon +2 more
wiley +1 more source
InfoMat, EarlyView.To address the limitations of conventional trial‐and‐error approaches, perovskite solar cell research is shifting toward a new paradigm that utilizes datasets and AI. This review examines the fundamental elements of data‐driven and AI‐integrated research: data platforms, AI methodologies, and self‐driving laboratories, demonstrating how their ...
Jaehee Lee +5 more
wiley +1 more source
Local Convergence Analysis of an Efficient Fourth Order Weighted-Newton Method under Weak Conditions
Annals of the West University of Timisoara: Mathematics and Computer Science, 2018 Local convergence analysis of a fourth order method considered by Sharma et. al in [19] for solving systems of nonlinear equations. Using conditions on derivatives upto the order five, they proved that the method is of order four.
Argyros Ioannis K., George Santhosh
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A Newton-like Midpoint Method for Solving Equations in Banach Space
Foundations, 2023 The present paper includes the local and semilocal convergence analysis of a fourth-order method based on the quadrature formula in Banach spaces. The weaker hypotheses used are based only on the first Fréchet derivative.
Samundra Regmi +3 more
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