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A new approach for solving singular dual fuzzy nonlinear equations.

Authors :
Moyi, Aliyu Usman
Lawal, Jibril
Jameel, Ali Fareed
Ibrahim, Sulaiman M.
Disu, Akeem Babatunde
Source :
AIP Conference Proceedings; 2024, Vol. 2867 Issue 1, p1-9, 9p
Publication Year :
2024

Abstract

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. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
0094243X
Volume :
2867
Issue :
1
Database :
Complementary Index
Journal :
AIP Conference Proceedings
Publication Type :
Conference
Accession number :
180582736
Full Text :
https://doi.org/10.1063/5.0225306