Results 21 to 30 of about 3,416 (193)
Convergence of a Two-Step Iterative Method for Nondifferentiable Operators in Banach Spaces
The semilocal and local convergence analyses of a two-step iterative method for nonlinear nondifferentiable operators are described in Banach spaces. The recurrence relations are derived under weaker conditions on the operator. For semilocal convergence,
Abhimanyu Kumar +3 more
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Extended sufficient semilocal convergence for the Secant method
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Cho, Yeol Je +2 more
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Self-Dual Vortices in Abelian Higgs Models with Dielectric Function on the Noncommutative Plane [PDF]
We show that Abelian Higgs Models with dielectric function defined on the noncommutative plane enjoy self-dual vorticial solutions. By choosing a particular form of the dielectric function, we provide a family of solutions whose Higgs and magnetic fields
Fuertes, W. García, Guilarte, J. Mateos
core +5 more sources
Semilocal convergence of the secant method under mild convergence conditions of differentiability
In this work, we obtain a semilocal convergence result for the secant method in Banach spaces under mild convergence conditions. We consider a condition for divided differences which generalizes those usual ones, i.e., Lipschitz continuous and Hölder continuous conditions. Also, we obtain a result for uniqueness of solutions.
Hernández, M.A., Rubio, M.J.
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Auxiliary point on the semilocal convergence of Newton’s method
We use an auxiliary point in the analysis of the semilocal convergence of Newton’smethod under center conditions on high order derivatives of the operator involved anduse the majorant principle of Kantorovich to do it.
J.A. Ezquerro, M.A. Hernández-Verón
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On the semilocal convergence of efficient Chebyshev–Secant-type methods
We introduce a three-step ChebyshevSecant-type method (CSTM) with high efficiency index for solving nonlinear equations in a Banach space setting. We provide a semilocal convergence analysis for (CSTM) using recurrence relations. Numerical examples validating our theoretical results are also provided in this study. © 2011 Elsevier B.V.
Argyros, null +4 more
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On Newton's method for subanalytic equations
We present local and semilocal convergence results for Newton’s method in order to approximate solutions of subanalytic equations. The local convergence results are given under weaker conditions than in earlier studies such as [9], [10], [14], [15], [24]
Ioannis K. Argyros, Santhosh George
doaj +2 more sources
Pairing in neutron matter: New uncertainty estimates and three-body forces
We present solutions of the BCS gap equation in the channels ${}^1S_0$ and ${}^3P_2-{}^3F_2$ in neutron matter based on nuclear interactions derived within chiral effective field theory (EFT).
Drischler, C. +3 more
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The package fhi98PP allows one to generate norm-conserving pseudopotentials adapted to density-functional theory total-energy calculations for a multitude of elements throughout the periodic table, including first-row and transition metal elements.
Arfken +79 more
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A Finite-field Approach for $GW$ Calculations Beyond the Random Phase Approximation
We describe a finite-field approach to compute density response functions, which allows for efficient $G_0W_0$ and $G_0W_0\Gamma_0$ calculations beyond the random phase approximation.
Galli, Giulia +3 more
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