Zobrazeno 1 - 10
of 26
pro vyhledávání: '"Rongfei Lin"'
Publikováno v:
Advances in Mathematical Physics, Vol 2018 (2018)
We aim to study the convergence properties of a modification of secant iteration methods. We present a new local convergence theorem for the modified secant method, where the derivative of the nonlinear operator satisfies Lipchitz condition. We intro
Externí odkaz:
https://doaj.org/article/e210087f33b642c888a763c66b3b462b
Publikováno v:
Advances in Mathematical Physics, Vol 2017 (2017)
A relaxed secant method is proposed. Radius estimate of the convergence ball of the relaxed secant method is attained for the nonlinear equation systems with Lipschitz continuous divided differences of first order. The error estimate is also establis
Externí odkaz:
https://doaj.org/article/ac836c4da4c24d1a93271542749aa7f5
Publikováno v:
The Scientific World Journal, Vol 2015 (2015)
Under the new Hölder conditions, we consider the convergence analysis of the inverse-free Jarratt method in Banach space which is used to solve the nonlinear operator equation. We establish a new semilocal convergence theorem for the inverse-free Ja
Externí odkaz:
https://doaj.org/article/1ffe96f17d3d427ab21140abe27e38ef
Publikováno v:
Journal of Applied Mathematics, Vol 2014 (2014)
We establish convergence theorems of Newton-Kantorovich type for a family of new modified Halley’s method in Banach space to solve nonlinear operator equations. We present the corresponding error estimate. To show the application of our theorems, t
Externí odkaz:
https://doaj.org/article/a540f6c6690e4290b41c5e99f6156ab7
Publikováno v:
Abstract and Applied Analysis, Vol 2013 (2013)
Newton-Kantorovich and Smale uniform type of convergence theorem of a deformed Newton method having the third-order convergence is established in a Banach space for solving nonlinear equations. The error estimate is determined to demonstrate the effi
Externí odkaz:
https://doaj.org/article/272a77ccad054e7f83cfe3b57cc2e2ec
Publikováno v:
Vietnam Journal of Mathematics. 50:59-68
In this paper, an estimate of the radius of convergence ball of the modified Chebyshev’s method for finding multiple roots of nonlinear equations is provided under the hypotheses that the (m + 1)st derivative f(m+ 1) of function f is Holder continu
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::54c035d4809a606ef1018661461d7818
https://doi.org/10.1007/s10013-020-00470-8
https://doi.org/10.1007/s10013-020-00470-8
Publikováno v:
Computational and Applied Mathematics. 40
In this paper, we mainly discuss the iterative methods for solving nonlinear systems with complex symmetric Jacobian matrices. By applying an FPAE iteration (a fixed-point iteration adding asymptotical error) as the inner iteration of the Newton meth
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::73a6c8b446cbbf30acf7c39d8c7d7c96
https://doi.org/10.1007/s40314-021-01439-0
https://doi.org/10.1007/s40314-021-01439-0
Publikováno v:
Applied Mathematics-A Journal of Chinese Universities. 32:397-406
Under the assumption that the nonlinear operator has Lipschitz continuous divided differences for the first order, we obtain an estimate of the radius of the convergence ball for the two-step secant method. Moreover, we also provide an error estimate
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::847539f2e0b1a634cfe13116d955c945
https://doi.org/10.1007/s11766-017-3487-3
https://doi.org/10.1007/s11766-017-3487-3
Publikováno v:
East Asian Journal on Applied Mathematics. 7:482-494
The semilocal convergence of a third-order Newton-like method for solving nonlinear equations is considered. Under a weak condition (the so-calledγ-condition) on the derivative of the nonlinear operator, we establish a new semilocal convergence theo
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b0322593ee398025666d0608cdd9b917
https://doi.org/10.4208/eajam.090816.270317a
https://doi.org/10.4208/eajam.090816.270317a
Publikováno v:
Advances in Mathematical Physics, Vol 2017 (2017)
A relaxed secant method is proposed. Radius estimate of the convergence ball of the relaxed secant method is attained for the nonlinear equation systems with Lipschitz continuous divided differences of first order. The error estimate is also establis
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1d76f3113cfcdf7b8a07205e149f7fac
https://doi.org/10.1155/2017/6976205
https://doi.org/10.1155/2017/6976205