نتایج جستجو برای: Steffensen-like method

تعداد نتایج: 2207829  

2004
Sergio Amat Sonia Busquier Sergio Plaza

From a dynamical point of view applied to complex polynomials, we study a number of root–finding iterative methods. We consider Newton’s method, Newton’s method for multiple roots, Jarratt’s method, the super–Halley method, the convex as well as the double convex acceleration of Whittaker’s method, the methods of Chebyshev, Stirling, and Steffensen, among others. Since all of the iterative root...

2012
Quan Zheng Xiuhui Guo Fengxi Huang

In this paper, seven self-accelerating iterative methods with memory are derived from an optimal two-step Steffensen-type method without memory for solving nonlinear equations, their orders of convergence are proved to be increased from 4 to 2 6 , (5 17) / 2 ,5 and (5 33) / 2 , numerical examples are demonstrat-ed demonstrated to verify the theoretical results, and applications for solving syst...

2001
Marino ZENNARO

Let { y”} be a trajectory defined sequentially by a nonlinear vector difference equation y,,+ 1 = F”+ ,( y,) with y0 known. A Steffensen-like iterative method is proposed which starts from a guessed sequence {u:‘)} for the approximation of { yn) and allows certain computations to be performed in parallel. The sequence {u:““‘} is (k) obtained from {u, } by means of a formula of the form u,+, (kt...

Journal: :Applied Mathematics Letters 2013

2015
Wang Zhi Ping Chen Xuan

In order to reduce localization error of the sensor node, a novel node localization algorithm (DVHop-Steff) is proposed in this paper based on DV-Hop algorithm and Steffensen iterative method. Firstly, DV-Hop algorithm is used to obtain location position of wireless sensor nodes; and then Steffensen iterative method is used to correct the locate results of DV-Hop algorithm and achieve higher lo...

Journal: :Applied Mathematics and Computation 2006
Vinay Kanwar

We further present a new modification to the quadratically convergent iteration formulae proposed by Mamta et al. [Mamta, V. Kanwar, V.K. Kukreja, S. Singh, On a class of quadratically convergent iteration formulae, Appl. Math. Comput. 166 (2005) 633–637] for solving single variable nonlinear equations. It is proven that the modification converges cubically. Further, a new family with cubic con...

Journal: :Int. J. Math. Mathematical Sciences 2012
Fazlollah Soleymani

Steffensen-type methods are practical in solving nonlinear equations. Since, such schemes do not need derivative evaluation per iteration. Hence, this work contributes two new multistep classes of Steffensen-type methods for finding the solution of the nonlinear equation f x 0. New techniques can be taken into account as the generalizations of the one-step method of Steffensen. Theoretical proo...

Journal: :Mathematics 2022

We consider the Steffensen–Hayashi inequality and remainder identity for V-fractional differentiable functions involving six parameters truncated Mittag–Leffler function Gamma function. In view of these, we obtain some integral inequalities Steffensen, Hermite–Hadamard, Chebyshev, Ostrowski, Grüss type to calculus.

نمودار تعداد نتایج جستجو در هر سال

با کلیک روی نمودار نتایج را به سال انتشار فیلتر کنید