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A new approach for solving singular dual fuzzy nonlinear equations.
- 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]
- Subjects :
- NEWTON-Raphson method
NEIGHBORHOODS
NONLINEAR equations
Subjects
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