Results 1 to 10 of about 265 (236)
Upward-closed hereditary families in the dominance order [PDF]
Discrete Mathematics & Theoretical Computer Science, 2022 The majorization relation orders the degree sequences of simple graphs into posets called dominance orders. As shown by Ruch and Gutman (1979) and Merris (2002), the degree sequences of threshold and split graphs form upward-closed sets within the ...
Michael D. Barrus, Jean A. Guillaume
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Unified Convergence Criteria of Derivative-Free Iterative Methods for Solving Nonlinear Equations
Computation, 2023 A local and semi-local convergence is developed of a class of iterative methods without derivatives for solving nonlinear Banach space valued operator equations under the classical Lipschitz conditions for first-order divided differences.
Samundra Regmi +3 more
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Sequences of resource monotones from modular Hamiltonian polynomials
Physical Review Research, 2023 We introduce two infinite sequences of entanglement monotones, which are constructed from expectation values of polynomials in the modular Hamiltonian.
Raúl Arias +4 more
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Journal of Numerical Analysis and Approximation Theory, 2008 We provide new semilocal results for Newton's method on Banach spaces with a convergence structure. Using more precise majorizing sequence we show that, under weaker convergence conditions than before, we can obtain finer error bounds on the distances ...
Ioannis K. Argyros
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A semilocal convergence analysis for the method of tangent parabolas
Journal of Numerical Analysis and Approximation Theory, 2005 We present a semilocal convergence analysis for the method of tangent parabolas (Euler-Chebyshev) using a combination of Lipschitz and center Lipschitz conditions on the Fréchet derivatives involved.
Ioannis K. Argyros
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Abstract Convergence Analysis for a New Nonlinear Ninth-Order Iterative Scheme
MathematicsThis study presents a comprehensive analysis of the semilocal convergence properties of a high-order iterative scheme designed to solve nonlinear equations in Banach spaces.
Ioannis K. Argyros +5 more
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Expanding the applicability of Newton-Tikhonov method for ill-posed equations
Journal of Numerical Analysis and Approximation Theory, 2014 We present a new semilocal convergence analysis of Newton- Tikhonov methods for solving ill-posed operator equations in a Hilbert space setting. Using more precise majorizing sequences and under the same computational cost as in earlier studies such as [
Ioannis K. Argyros, Santhosh George
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Convergence analysis for the two-step Newton method of order four
Journal of Numerical Analysis and Approximation Theory, 2014 We provide a tighter than before convergence analysis for the two-step Newton method of order four using recurrent functions. Numerical examples are also provided in this study.
Ioannis K. Argyros, Sanjay K. Khattri
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An improved semilocal convergence analysis for the midpoint method
Journal of Numerical Analysis and Approximation Theory, 2016 We expand the applicability of the midpoint method for approximating a locally unique solution of nonlinear equations in a Banach space setting. Our majorizing sequences are finer than the known results in scientific literature [1,3,4,5,6,7,8,9,10,11,19,
Ioannis K. Argyros, Sanjay K. Khattri
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AxiomsThe parametric family of two-step methods, with its special cases, has been introduced in various papers. However, in most cases, the local convergence analysis relies on the existence of derivatives of orders that the method does not require.
Ioannis K. Argyros +2 more
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