A new approach for solving singular dual fuzzy nonlinear equations

Newton’s method has been the famous iterative method for solving fuzzy nonlinear equations. However, the convergence of this method depends on when the Jacobian is non-singular in the neighborhood of the solution. Contrary to this condition, i.e. the Jacobian to be singular, the convergence is too s...

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Bibliographic Details
Main Authors: Moyi, Aliyu Usman, Lawal, Jibril, Jameel, Ali Fareed, Ibrahim, Sulaiman M., Disu, Akeem Babatunde
Format: Conference Proceeding
Language:English
Subjects:
Convergence
Iterative methods
Nonlinear equations
Online Access:Get full text
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Summary:Newton’s method has been the famous iterative method for solving fuzzy nonlinear equations. However, the convergence of this method depends on when the Jacobian is non-singular in the neighborhood of the solution. Contrary to this condition, i.e. the Jacobian to be singular, the convergence is too slow and may even lost. In this paper we present a Jacobian computation free approach for solving dual fuzzy nonlinear equations where the Jacobian is singular. The anticipation has been to bypass the point in which the Jacobian is singular. The effectiveness of our proposed method is appraised through numerical comparison with Newton’s method.
ISSN:0094-243X
1551-7616
DOI:10.1063/5.0225306