TY - JOUR AU - MOHAMMAD, HASSAN PY - 2017/07/15 Y2 - 2024/03/28 TI - BARZILAI-BORWEIN-LIKE METHOD FOR SOLVING LARGE-SCALE NON-LINEAR SYSTEMS OF EQUATIONS JF - Journal of the Nigerian Mathematical Society JA - JNMS VL - 36 IS - 1 SE - Articles DO - UR - https://ojs.ictp.it/jnms/index.php/jnms/article/view/88 SP - 71 - 83 AB - In this paper, a derivative-free Barzilai-Borweinlike algorithm is developed for solving large-scale non-linear systems of equations. The algorithm is based on approximating the Jacobian matrix in quasi-Newton manner using a scalar multiple of an identity matrix. Under suitable conditions, we show<br />that the proposed algorithm is locally superlinearly convergent. Numerical results show that the proposed method is efficient for large-scale problems (up to $10^6$) variables. ER -