dc.creator | Chicharro, Francisco Israel (1) | |
dc.creator | Cordero, Alicia | |
dc.creator | Garrido, Neus (1) | |
dc.creator | Torregrosa, Juan Ramón | |
dc.date.accessioned | 2019-12-12T08:30:14Z | |
dc.date.accessioned | 2023-03-07T19:25:26Z | |
dc.date.available | 2019-12-12T08:30:14Z | |
dc.date.available | 2023-03-07T19:25:26Z | |
dc.date.created | 2019-12-12T08:30:14Z | |
dc.identifier | Chicharro, F.I.; Cordero, A.; Garrido, N.; Torregrosa, J.R. Generalized High-Order Classes for Solving Nonlinear Systems and Their Applications. Mathematics 2019, 7, 1194. | |
dc.identifier | 2227-7390 | |
dc.identifier | https://reunir.unir.net/handle/123456789/9624 | |
dc.identifier | http://dx.doi.org/10.3390/math7121194 | |
dc.identifier.uri | https://repositorioslatinoamericanos.uchile.cl/handle/2250/5903987 | |
dc.description.abstract | A generalized high-order class for approximating the solution of nonlinear systems of equations is introduced. First, from a fourth-order iterative family for solving nonlinear equations, we propose an extension to nonlinear systems of equations holding the same order of convergence but replacing the Jacobian by a divided difference in the weight functions for systems. The proposed GH family of methods is designed from this fourth-order family using both the composition and the weight functions technique. The resulting family has order of convergence 9. The performance of a particular iterative method of both families is analyzed for solving different test systems and also for the Fisher’s problem, showing the good performance of the new methods. | |
dc.language | eng | |
dc.publisher | MDPI | |
dc.publisher | Mathematics | |
dc.relation | ;vol. 7, nº 1194 | |
dc.relation | https://www.mdpi.com/2227-7390/7/12/1194 | |
dc.rights | openAccess | |
dc.subject | nonlinear systems | |
dc.subject | iterative method | |
dc.subject | convergence | |
dc.subject | efficiency | |
dc.subject | JCR | |
dc.subject | Scopus | |
dc.title | Generalized High-Order Classes for Solving Nonlinear Systems and Their Applications | |
dc.type | Articulo Revista Indexada | |