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.
Maria Macconi, Benedetta Morini, Margherita Porcelli (2009). A Gauss–Newton method for solving bound-constrained underdetermined nonlinear systems. OPTIMIZATION METHODS & SOFTWARE, 24, 219-235 [10.1080/10556780902753031].
A Gauss–Newton method for solving bound-constrained underdetermined nonlinear systems
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.File in questo prodotto:
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