An affine scaling trust-region approach to bound-constrained nonlinear systems

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On locating all roots of systems of nonlinear equations inside bounded domain using global optimization methods (2010, methodology): “Recent paradigms include cases such as subdivision methods [6,8], exclusion test methods [9] Newton method [10–13,7], Trust region methods [14,15], Tensor methods [16,17], methods that utilize evolutionary algorithms [18,19] etc.”
Spectral gradient projection method for monotone nonlinear equations with convex constraints (2009, background): “Many numerical methods for problem (1) with smooth mapping F have been proposed in recent years, see for example [2, 10, 13, 21].”
Trust-region quadratic methods for nonlinear systems of mixed equalities and inequalities (2009, methodology): “[14] designed a trust-region interior point method for underdetermined nonlinear systems which generalizes the method [1] for square systems while Kanzow et al.”
Active-Set Projected Trust-Region Algorithm for Box-Constrained Nonsmooth Equations (2004, background): “where the first inequality follows from (8) and (17), the second inequality follows from (12) and the last inequality follows from ( 9 ) and (10), respectively.”