On Broyden-like update via some quadratures for solving nonlinear systems of equations | Zendy

Hassan Mohammad | Zendy; Mohammed Yusuf Waziri | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

On Broyden-like update via some quadratures for solving nonlinear systems of equations

Author(s) -

Hassan Mohammad,

Mohammed Yusuf Waziri

Publication year - 2015

Publication title -

turkish journal of mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.454

H-Index - 27

eISSN - 1303-6149

pISSN - 1300-0098

DOI - 10.3906/mat-1404-41

Subject(s) - mathematics , nonlinear system , quadrature (astronomy) , midpoint method , convergence (economics) , midpoint , work (physics) , mathematical optimization , geometry , physics , quantum mechanics , mechanical engineering , economic growth , electrical engineering , economics , engineering

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.

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