An iterative method for solving bound-constrained underdetermined nonlinear systems is presented. The procedure consists of a Gauss - Newton method embedded into a trust-region strategy. Global and fast local convergence results are established. A specific implementation of the method is given along with its application to nonlinear systems of equalities and inequalities.
A Gauss-Newton method for solving bound-constrained underdetermined nonlinear systems / M.Macconi; B. Morini; M. Porcelli. - In: OPTIMIZATION METHODS & SOFTWARE. - ISSN 1055-6788. - STAMPA. - 24:(2009), pp. 219-235. [10.1080/10556780902753031]
A Gauss-Newton method for solving bound-constrained underdetermined nonlinear systems.
MACCONI, MARIA;MORINI, BENEDETTA;PORCELLI, MARGHERITA
2009
Abstract
An iterative method for solving bound-constrained underdetermined nonlinear systems is presented. The procedure consists of a Gauss - Newton method embedded into a trust-region strategy. Global and fast local convergence results are established. A specific implementation of the method is given along with its application to nonlinear systems of equalities and inequalities.
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