Abstract
In this paper, we study the solvability of a truncated-perturbed Gauss–Newton method for solving underdetermined nonlinear least squares problems. Our aim is to address a new analysis of a semilocal convergence to the aforementioned method. In particular, the main theorem is established under a kind of Hölder-relaxed condition, and two special cases of this are obtained. Furthermore, the computational behavior of the considered method is illustrated with some numerical tests.
Disclosure statement
No potential conflict of interest was reported by the author(s).