Certain improvements of Newton’s method with fourth-order convergence
MetadataShow full item record
In this paper we present two new schemes, one is third-order and the other is fourth-order. These are improvements of second-order methods for solving nonlinear equations and are based on the method of undetermined coefficients. We show that the fourth-order method is more efficient than the fifth-order method due to Kou et al. [J. Kou, Y. Li, X. Wang, Some modifications of Newton’s method with fifth-order covergence, J. Comput. Appl. Math., 209 (2007) 146–152]. Numerical examples are given to support that the methods thus obtained can compete with other iterative methods.
The article of record as published may be located at http://dx.doi.org/10.1016/j.amc.2009.06.007
Showing items related by title, author, creator and subject.
Nagashima, M.; Agrawal, B.N. (2012);For a large Adaptive Optics (AO) system such as a large Segmented Mirror Telescope (SMT), it is often difficult, although not impossible, to directly apply common Multi-Input Multi-Output (MIMO) controller design methods ...
Pearce, Cliff P. (Monterey, California: Naval Postgraduate School, 1999-03);A method of structural synthesis is presented using a recursive computational process. A structure can be modeled entirely linearly, with localized nonlinearities included as synthesized forces. The method allows retention ...
Simulation of Earthquake Rupture Dynamics in Complex Geometries Using Coupled Finite Difference and Finite Volume Methods O'Reilly, Ossian; Nordstrom, Jan; Kozdon, Jeremy E.; Dunham, Eric M. (2013-10);A numerical method suitable for wave propagation problems in complex geometries is developed for simulating dynamic earthquake ruptures with realistic friction laws. The numerical method couples an unstructured, node-centered ...