Zobrazeno 1 - 10
of 240
pro vyhledávání: '"Simultaneous methods"'
Publikováno v:
AIMS Mathematics, Vol 8, Iss 10, Pp 23603-23620 (2023)
The roots of non-linear equations are a major challenge in many scientific and professional fields. This problem has been approached in a number of ways, including use of the sequential Newton's method and the traditional Weierstrass simultaneous ite
Externí odkaz:
https://doaj.org/article/20230f5cf4024ebabfa9773af50dbac9
Autor:
Mudassir Shams, Bruno Carpentieri
Publikováno v:
Mathematics, Vol 11, Iss 24, p 4914 (2023)
We proposed and analyzed the fractional simultaneous technique for approximating all the roots of nonlinear equations in this research study. The newly developed fractional Caputo-type simultaneous scheme’s order of convergence is 3ς+5, according
Externí odkaz:
https://doaj.org/article/eb62f111284648dfb760f671a9296649
Publikováno v:
Advances in Difference Equations, Vol 2021, Iss 1, Pp 1-18 (2021)
Abstract In this article, we construct a family of iterative methods for finding a single root of nonlinear equation and then generalize this family of iterative methods for determining all roots of nonlinear equations simultaneously. Further we exte
Externí odkaz:
https://doaj.org/article/081d02c546064937a35523502a0f6da3
Efficient iterative methods for finding simultaneously all the multiple roots of polynomial equation
Publikováno v:
Advances in Difference Equations, Vol 2021, Iss 1, Pp 1-11 (2021)
Abstract Two new iterative methods for the simultaneous determination of all multiple as well as distinct roots of nonlinear polynomial equation are established, using two suitable corrections to achieve a very high computational efficiency as compar
Externí odkaz:
https://doaj.org/article/badecfb54e5a46e6ae51d8d2e01f11eb
Publikováno v:
Algorithms, Vol 16, Iss 2, p 103 (2023)
In this paper, we provide a detailed local convergence analysis of a one-parameter family of iteration methods for the simultaneous approximation of polynomial zeros due to Ivanov (Numer. Algor. 75(4): 1193–1204, 2017). Thus, we obtain two local co
Externí odkaz:
https://doaj.org/article/59c81d64f06744fdb139a805377f0006
Akademický článek
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Autor:
Petko D. Proinov, Maria T. Vasileva
Publikováno v:
Mathematics, Vol 9, Iss 16, p 1855 (2021)
One of the famous third-order iterative methods for finding simultaneously all the zeros of a polynomial was introduced by Ehrlich in 1967. In this paper, we construct a new family of high-order iterative methods as a combination of Ehrlich’s itera
Externí odkaz:
https://doaj.org/article/08bd1d00477a4c43a2596d529ce5783b
Publikováno v:
Advances in Difference Equations, Vol 2021, Iss 1, Pp 1-18 (2021)
In this article, we construct a family of iterative methods for finding a single root of nonlinear equation and then generalize this family of iterative methods for determining all roots of nonlinear equations simultaneously. Further we extend this f
Efficient iterative methods for finding simultaneously all the multiple roots of polynomial equation
Publikováno v:
Advances in Difference Equations, Vol 2021, Iss 1, Pp 1-11 (2021)
Two new iterative methods for the simultaneous determination of all multiple as well as distinct roots of nonlinear polynomial equation are established, using two suitable corrections to achieve a very high computational efficiency as compared to the
Autor:
Rančić, Lidija Z.
Publikováno v:
Filomat, 2015 Jan 01. 29(10), 2217-2225.
Externí odkaz:
https://www.jstor.org/stable/24898382