On efficient matrix-free method via quasi-Newton approach for solving system of nonlinear equations

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Advances in the Theory of Nonlinear Analysis and its Application
Volume: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 : 18 | Download : 5

Publication Date : 2021-12-30

Article Type : Research Paper

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

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