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A Gauss-Newton method for solving bound-constrained underdetermined nonlinear systems. (English) Zbl 1181.90289
Summary: 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.

MSC:
90C53 Methods of quasi-Newton type
90C30 Nonlinear programming
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