The numerical solution of a possibly inconsistent system of linear inequalities in the ℓ1 sense is considered. The non-differentiable ℓ1 norm minimization problem is approximated by a piecewise quadratic Huber smooth ...

The Newton method of Madsen and Nielsen (1990) for computing Huber's robust M-estimate in linear regression is considered. The original method was proved to converge finitely for full rank problems under some additional ...

In a recent paper by Chen and Mangasarian (C. Chen, O.L. Mangasarian, A class of smoothing functions for nonlinear and mixed complementarity problems, Computational Optimization and Applications 2 (1996), 97±138) a class ...