2 papers
math.OC2025
A derivative-free regularization algorithm for equality constrained nonlinear least squares problems
Xi Chen, Jinyan Fan
In this paper, we study the equality constrained nonlinear least squares problem, where the Jacobian matrices of the objective function and constraints are unavailable or expensive…
math.NA2024
On the global complexity of a derivative-free Levenberg-Marquardt algorithm via orthogonal spherical smoothing
Xi Chen, Jinyan Fan
In this paper, we propose a derivative-free Levenberg-Marquardt algorithm for nonlinear least squares problems, where the Jacobian matrices are approximated via orthogonal spherica…