Based on the work of paper [1], we propose a modified Levenberg-Marquardt algoithm for solving singular system of nonlinear equations F (x) = 0, where F (x) : Rn → Rn is continuously differentiate and ...

This paper shows that the modified BFGS algorithm is globally and superlinearly convergent based on the Armijo-Goldstein line searches. The Journal of Computational Mathematics is published bi-monthly ...