article Open Access
Modified Frontini-Sormani iterative method for solving systems of nonlinear equations with singular Jacobian
International Journal of Statistics and Applied Mathematics · 2018 · Vol. 3(6) · pp. 01–09
Abstract
This paper modifies the family of iterative method in Frontini and Sormani (2004) for solving systems of nonlinear equations with singular Jacobian. The convergence of the methods are established via Taylor series approach. Different numerical examples are given to illustrate the effectiveness of the proposed methods.
Iterative Methods for Nonlinear EquationsAdvanced Optimization Algorithms ResearchMatrix Theory and AlgorithmsJacobian matrix and determinantMathematicsNonlinear systemConvergence (economics)Iterative methodApplied mathematicsSeries (stratigraphy)Local convergenceMathematical analysisMathematical optimization
Citations
0
FWCI
0.00
field-weighted impact
References
7
Percentile
26%
vs. same field & year
References
An iterative method for solving nonlinear functional equations
Journal of Mathematical Analysis and Applications · 2005 · 591 citations
Citation Network
How this paper connects to the literature. Drag to explore, click any node to open that paper.