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Using our new idea of restricted convergence domain, we present a semi-local convergence analysis of the Gauss-Newton method for solving convex composite optimization problems [11, 13, 17, 18, 22, 23, 25]. The convergence analysis is based on a combination of a center-majorant and majorant function. The new approach has the advantage of larger convergence domain, tighter error bounds on the distances involved and the information on the location of the solution is at least as precise.
How to Cite this Article:
Ioannis K. Argyros, Santhosh George, On the Gauss-Newton method for convex optimization using restricted convergence domains, Journal of Nonlinear Functional Analysis 2016 (2016), Article ID 5.