Results 1 to 10 of about 291 (249)
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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Majorizing sequences and error bounds for iterative methods [PDF]
Mathematics of Computation, 1980 Given a sequence { x n } n = 0 ∞ \{ {x_n}\} _{n = 0}^\infty in a Banach space, it is well known that if there is a sequence { t n
George J. Miel
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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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Sequences of resource monotones from modular Hamiltonian polynomials [PDF]
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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Generalized Convergence for Multi-Step Schemes under Weak Conditions
MathematicsWe have developed a local convergence analysis for a general scheme of high-order convergence, aiming to solve equations in Banach spaces. A priori estimates are developed based on the error distances.
Ramandeep Behl +3 more
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Majorizing sequences for iterative procedures in Banach spaces
Journal of Complexity, 2012 The article deals with Newton-like approximations \[ x_{n+1} = x_n - A(x_n)^{-1}(F(x_n) + G(x_n)), \quad n = 0,1,2,\ldots,\tag{1} \] to a nonlinear operator equation \[ F(x) + G(x) = 0 \] with a Fréchet differentiable operator \(F\) and a continuous operator \(G\); here \(A(x)\) are linear operators with the invertible \(A(x_0)\).
Ioannis K Argyros, Said Hilout
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On the Convergence of a Kurchatov-Type Method for Solving Nonlinear Equations and Its Applications
AppliedMathA local and a semi-local convergence analysis are presented for the Kurchatov-type method to solve numerically nonlinear equations in a Banach space. The method depends on a real parameter. By specializing the parameter, we obtain methods already studied
Ioannis K. Argyros +2 more
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DNA Sequence Is a Major Determinant of Tetrasome Dynamics [PDF]
Biophysical Journal, 2019 ABSTRACT Eukaryotic genomes are hierarchically organized into protein-DNA assemblies for compaction into the nucleus. Nucleosomes, with the (H3-H4) 2 tetrasome as a likely intermediate, are highly dynamic in nature by way of several different mechanisms.
Ordu, O., Lusser, A., Dekker, N. H.
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