- Advances in the Theory of Nonlinear Analysis and its Application
- Vol: 5 Issue: 4
- On efficient matrix-free method via quasi-Newton approach for solving system of nonlinear equations
On efficient matrix-free method via quasi-Newton approach for solving system of nonlinear equations
Authors : Muhammad ABDULLAHI, Abubakar HALİLU, Aliyu AWWAL, Nuttapol PAKKARANANG
Pages : 568-579
Doi:10.31197/atnaa.890281
View : 6 | Download : 1
Publication Date : 2021-12-30
Article Type : Research
Abstract :In this paper. a matrix-free method for solving large-scale system of nonlinear equations is presented. The method is derived via quasi-Newton approach, where the approximation to the Broyden's update is sufficiently done by constructing diagonal matrix using acceleration parameter. A fascinating feature of the method is that it is a matrix-free, so is suitable for solving large-scale problems. Furthermore, the convergence analysis and preliminary numerical results that is reported using a benchmark test problems, shows that the method is promising.Keywords : Matrix-free, Descent Direction, Global Convergent, Acceleration parameter