Zobrazeno 1 - 10
of 17
pro vyhledávání: '"Sunil Panday"'
Publikováno v:
AIMS Mathematics, Vol 9, Iss 3, Pp 6161-6182 (2024)
In this paper, we have constructed a family of three-step methods with sixth-order convergence and a novel approach to enhance the convergence order $ p $ of iterative methods for systems of nonlinear equations. Additionally, we propose a three-step
Externí odkaz:
https://doaj.org/article/3618875b6981423e94d587948337b68e
Publikováno v:
AppliedMath, Vol 3, Iss 4, Pp 1019-1033 (2023)
New three-step with-memory iterative methods for solving nonlinear equations are presented. We have enhanced the convergence order of an existing eighth-order memory-less iterative method by transforming it into a with-memory method. Enhanced acceler
Externí odkaz:
https://doaj.org/article/755813f2e3be433d9daa8a6056cad363
Publikováno v:
Mathematics, Vol 12, Iss 12, p 1809 (2024)
In this article, we introduce a novel three-step iterative algorithm with memory for finding the roots of nonlinear equations. The convergence order of an established eighth-order iterative method is elevated by transforming it into a with-memory var
Externí odkaz:
https://doaj.org/article/cfae92d9e76f444a9fed5ab10821df0f
Publikováno v:
Results in Control and Optimization, Vol 12, Iss , Pp 100243- (2023)
We present in this paper two new families of bi-parametric multipoint higher order iterative methods of optimal order for determining simple roots of the nonlinear equation Ω(s)=0. The proposed families of methods are derivative-free with the optima
Externí odkaz:
https://doaj.org/article/838141699a0b41e3b43a73c5fd772af3
Autor:
Ekta Sharma, Sunil Panday, Shubham Kumar Mittal, Dan-Marian Joița, Lavinia Lorena Pruteanu, Lorentz Jäntschi
Publikováno v:
Mathematics, Vol 11, Iss 21, p 4512 (2023)
In this paper, we propose a new fifth-order family of derivative-free iterative methods for solving nonlinear equations. Numerous iterative schemes found in the existing literature either exhibit divergence or fail to work when the function derivativ
Externí odkaz:
https://doaj.org/article/380c09a5dba847b0b73b32592c79a4c8
Publikováno v:
Symmetry, Vol 15, Iss 8, p 1546 (2023)
In this paper, we have constructed new families of derivative-free three- and four-parametric methods with and without memory for finding the roots of nonlinear equations. Error analysis verifies that the without-memory methods are optimal as per Kun
Externí odkaz:
https://doaj.org/article/93964a357c854789ac47f48f278ac19a
Publikováno v:
Mathematics, Vol 11, Iss 9, p 2036 (2023)
The methods that use memory using accelerating parameters for computing multiple roots are almost non-existent in the literature. Furthermore, the only paper available in this direction showed an increase in the order of convergence of 0.5 from the w
Externí odkaz:
https://doaj.org/article/f92dac2423ea4ba8aa82f76c851e46c1
Publikováno v:
Symmetry, Vol 14, Iss 10, p 2020 (2022)
In this paper, we construct variants of Bawazir’s iterative methods for solving nonlinear equations having simple roots. The proposed methods are two-step and three-step methods, with and without memory. The Newton method, weight function and divid
Externí odkaz:
https://doaj.org/article/1527505b41e0438cb1b8da0bb1185ad2
Publikováno v:
Journal of Applied Mathematics and Computing. 69:953-971
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::40d5693b911db7880a0e016b881c10f5
https://doi.org/10.1007/s12190-022-01775-2
https://doi.org/10.1007/s12190-022-01775-2
Publikováno v:
Springer Proceedings in Mathematics & Statistics ISBN: 9789811972713
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a1849b65af6537924085417f2d9828b3
https://doi.org/10.1007/978-981-19-7272-0_40
https://doi.org/10.1007/978-981-19-7272-0_40
