Efficient matrix-free direction method with line search for solving large-scale system of nonlinear equations | Zendy

Abubakar Halilu | Zendy; Mohammed Yusuf Waziri | Zendy; İbrahim Yusuf | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

Efficient matrix-free direction method with line search for solving large-scale system of nonlinear equations

Author(s) -

Abubakar Halilu,

Mohammed Yusuf Waziri,

İbrahim Yusuf

Publication year - 2020

Publication title -

yugoslav journal of operations research

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.221

H-Index - 21

eISSN - 1820-743X

pISSN - 0354-0243

DOI - 10.2298/yjor160515005h

Subject(s) - jacobian matrix and determinant , line search , convergence (economics) , matrix (chemical analysis) , mathematics , nonlinear system , scale (ratio) , line (geometry) , acceleration , mathematical optimization , set (abstract data type) , computer science , algorithm , geometry , materials science , physics , computer security , classical mechanics , quantum mechanics , economics , radius , composite material , programming language , economic growth

We proposed a matrix-free direction with an inexact line search technique to solve system of nonlinear equations by using double direction approach. In this article, we approximated the Jacobian matrix by appropriately constructed matrix-free method via acceleration parameter. The global convergence of our method is established under mild conditions. Numerical comparisons reported in this paper are based on a set of large-scale test problems and show that the proposed method is efficient for large-scale problems.

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research