Results 11 to 20 of about 1,768,757 (251)
Value distribution of meromorphic solutions of certain difference Painlevé III equations
Advances in Difference Equations, 2018 In this paper, we investigate the difference Painlevé III equations w(z+1)w(z−1)(w(z)−1)2=w2(z)−λw(z)+μ $w(z+1)w(z-1)(w(z)-1)^{2}=w^{2}(z)-\lambda w(z)+\mu$ ( λμ≠0 $\lambda\mu\neq 0$) and w(z+1)w(z−1)(w(z)−1)2=w2(z) $w(z+1)w(z-1)(w(z)-1)^{2}=w^{2}(z ...
Yunfei Du +3 more
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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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ON DIVIDED-DIFFERENCE SEMIGROUPS [PDF]
International Journal of Algebra and Computation, 2011 The Newtonian divided-difference operators generate the nil-Coxeter algebra and semigroup. A bijective correspondence between the nil-Coxeter semigroup and the symmetric group is used to provide braid-like diagrams for the former, and corresponding Reidemeister-type moves for the relations.
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Enhancing Equation Solving: Extending the Applicability of Steffensen-Type Methods
Mathematics, 2023 Local convergence analysis is mostly carried out using the Taylor series expansion approach, which requires the utilization of high-order derivatives, not iterative methods.
Ramandeep Behl +2 more
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On Some Properties of the Operator, Defined on Class of Analytic in the Half-Plane Functions
Nonlinear Analysis, 2004 In present paper the properties of the operator introduced by authors, which is defined on special class of n-normalized analytic in the half-plane functions are investigated. This operator is closely related with automorphism of a half-plane.
J. Kirjackis, E. G. Kiriyatzkii
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Foundations, 2022 We propose the semi-local convergence of two derivative-free, competing methods of order six to address non-linear equations. The sufficient convergence criteria are the same, making a direct comparison between them possible.
Ioannis K. Argyros +3 more
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Fractal and Fractional, 2022 Under the same conditions, we propose the extended comparison between two derivative free schemes of order six for addressing equations. The existing convergence technique used the standard Taylor series approach, which requires derivatives up to order ...
Samundra Regmi +3 more
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Symbolic computation of divided differences [PDF]
ACM SIGSAM Bulletin, 1999 Divided differences are enormously useful in developing stable and accurate numerical formulas. For example, programs to compute f ( x )- f ( y ) as might occur in integration, can be notoriously inaccurate.
William Kahan, Richard J. Fateman
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Differential Evolution Optimized a Second-Order Divided Difference Particle Filter
Journal of Electrical and Computer Engineering, 2020 In order to improve the estimation accuracy of particle filter algorithm in a nonlinear system state estimation problem, a new algorithm based on the second-order divided difference filter to generate the proposed distribution and the differential ...
Ting Cao +3 more
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Convex solutions of polynomial-like nonautonomous iterative equations
四川大学学报. 自然科学版, 2023 Iteration is repetition of same function. Iteration with different functions, called nonautonomous iteration, is a more complex one. In this paper, we consider a class of functional equations with linear combination of nonautonomous iterations, namely ...
CHEN Ye-Ming, ZENG Ying-Ying
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