Third-order family of methods in Banach spaces
MetadataShow full item record
Recently, Parida and Gupta [P.K. Parida, D.K. Gupta, Recurrence relations for a Newton-like method in Banach spaces, J. Comput. Appl. Math., 206 (2007) 873-877] used Rall's recurrence relation approach (from 1961) to approximate roots of nonlinear equation, by developing several methods, the latest of which is free of second derivative and it is of third order. In this paper, we use an idea of Kou and Li [J.-S. Kou, Y._T. Li, Modified Chebyshev's method free from second derivative for non-linear equations, Appl. MAth. Comput. 187. (2007), 1027-1032] and modify the approach of Parida and Cupta, obtaining yet another third order method to approximate a solution of a nonlinear equation in a Banach space. We give several applications to our method.
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 ...
Dorf, Richard Carl (Monterey, California: U.S. Naval Postgraduate School, 1961-05-01);The aim of this dissertation is to present a new method of engineering analysis and design for complex control systems. This method is the time domain infinite matrix method. The formulation of the infinite matrix follows ...