On the Levenberg-Marquardt methods for convex constrained nonlinear equations
On the Levenberg-Marquardt methods for convex constrained nonlinear equations
In this paper, both the constrained Levenberg-Marquardt method and the projected Levenberg-Marquardt methodare presented for nonlinear equations $F(x)=0$ subject to $x\in X$, where $X$ is a nonempty closed convex set.The Levenberg-Marquardt parameter is taken as $\| F(x_k) \|_2^\delta$ with $\delta\in (0, 2]$.Under the local error bound condition which is weaker …