Methods with Successive and Parallel Approximations of Inverse Operator for the Nonlinear Least Squares Problem

For solving the nonlinear least-square problem, we propose iterative methods that use successive and parallel approximations of the inverse operator instead of solving a linear system of equations. The convergence order as well as the convergence radius of the proposed methods are studied. Finally, we carry out numerical experiments on a set of test problems. (© 2015 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim)