Turkish Journal of Mathematics
DOI
10.3906/mat-1404-41
Abstract
In this work, we propose a new alternative approximation based on the quasi-Newton approach for solving systems of nonlinear equations using the average of midpoint and Simpson's quadrature. Our goal is to enhance the efficiency of the method (Broyden's method) by reducing the number of iterations it takes to reach a solution. Local convergence analysis and computational results showing the relative efficiency of the proposed method are given.
Keywords
Broyden's method, superlinear convergence, quadrature formulae, predictor-corrector, nonlinear systems
First Page
335
Last Page
345
Recommended Citation
MOHAMMAD, HASSAN and WAZIRI, MOHAMMED YUSUF
(2015)
"On Broyden-like update via some quadratures for solving nonlinear systems of equations,"
Turkish Journal of Mathematics: Vol. 39:
No.
3, Article 4.
https://doi.org/10.3906/mat-1404-41
Available at:
https://journals.tubitak.gov.tr/math/vol39/iss3/4
