Interpolatory multipoint methods with memory for solving nonlinear equations
Petkovic, Miodrag S.
MetadataShow full item record
A general way to construct multipoint methods for solving nonlinear equations by using inverse interpolation is presented. The proposed methods belong to the class of multipoint methods with memory. In particular, a new two-point method with memory with the order (5 + √17)/2 ≈ 4.562 is derived. Computational efficiency of the presented methods is analyzed and their comparison with existing methods with and without memory is performed on numerical examples. It is shown that a special choice of initial approximations provides a considerably great accuracy of root approximations obtained by the proposed interpolatory iterative methods.
Applied Mathematics and Computation, 218, (2011), 2533–2541 .
Showing items related by title, author, creator and subject.
Chun, Changbum; Neta, Beny (Sociedad Española de Matemática Aplicada, 2017);Multipoint methods for the solution of a single nonlinear equation allow higher order of convergence without requiring higher derivatives. Such methods have an order barrier as conjectured by Kung and Traub. To overcome ...
Urrea, Jorge Mario. (Monterey, California. Naval Postgraduate School, 2006-03);During a forensic investigation of a computer system, the ability to retrieve volatile information can be of critical importance. The contents of RAM could reveal malicious code running on the system that has been deleted ...
Brown, Gerald G. (Monterey, California. Naval Postgraduate School, 1975-08); NPS55Zr75081An experiment with matrix inversion using block pivots is presented. Large scale matrix computations can often be performed more efficiently by use of partitioning. Such matrix manipulation lends itself to paged or cache ...