On Accelerated Dai-Liao-type Derivative-free Projection Method for Solving Nonlinear Equations

Authors

  • Abubakar Ibrahim Jabo Usmanu Danfodiyo University, Sokoto, Nigeria
  • Aremu Olalekan Kazeem Sefako Makgatho Health Sciences University
  • Ibrahim Muhammad Usmanu Danfodiyo University, Sokoto, Nigeria

DOI:

https://doi.org/10.29020/nybg.ejpam.v18i4.6828

Keywords:

Derivative-free method, line-search, nonlinear equations

Abstract

Ou and Li [Journal of Applied Mathematics and Computing 56.1-2 (2018): 195-216] introduced an adaptive line search that reduces the computational cost of the line search method for solving nonlinear systems. Based on this line search, we propose an accelerated Dai-Liao-type derivative-free projection method for solving large-scale systems of nonlinear equations with
convex constraints. Under some mild assumptions, we establish the global convergence of the proposed method. Numerical experiments show that the method is fast, and competitive with other related methods.

Author Biography

  • Aremu Olalekan Kazeem, Sefako Makgatho Health Sciences University

    Department of Mathematics and Applied Mathematics

References

Published

2026-07-28

Issue

Section

Nonlinear Analysis

How to Cite

On Accelerated Dai-Liao-type Derivative-free Projection Method for Solving Nonlinear Equations. (2026). European Journal of Pure and Applied Mathematics, 19(2), 6828. https://doi.org/10.29020/nybg.ejpam.v18i4.6828