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

Abstract : 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.
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Roman Iakymchuk, Stepan Shakhno. Methods with Successive and Parallel Approximations of Inverse Operator for the Nonlinear Least Squares Problem. PAMM. Vol. 15. Special issue: 86th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), Mar 2015, Lecce, Italy. pp.569-570. ⟨hal-01175314⟩

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