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Exact and inexact Newton linesearch interior-point algorithms for nonlinear programming problems
In the first part of this research we consider a linesearch globalization of the local primal-dual interior-point Newton's method for nonlinear programming recently introduced by El-Bakry, Tapia, Tsuchiya, and Zhang. Our ...
A new class of preconditioners for large-scale linear systems from interior-point methods for linear programming
A new class of preconditioners for the iterative solution of the linear systems arising from interior point methods is proposed. For many of these methods, the linear systems come from applying Newton's method on the ...
Nonlinear multicriteria optimization and robust optimality
This dissertation attempts to address two important problems in systems engineering, namely, multicriteria optimization and robustness optimization. In fields ranging from engineering to the social sciences designers are ...