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174
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SIAMJO
2002
15 years 6 months ago
2002
A linear program has a unique least 2-norm solution provided that the linear program has a solution. To locate this solution, most of the existing methods were devised to solve cer...
144
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SIAMJO
2002
15 years 6 months ago
2002
A probability-one homotopy algorithm for solving nonsmooth equations is described. This algorithm is able to solve problems involving highly nonlinear equations, where the norm of ...
231
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SIAMJO
2002
15 years 6 months ago
2002
We propose a new algorithm for solving smooth nonlinear equations in the case where their solutions can be singular. Compared to other techniques for computing singular solutions, ...
163
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SIAMJO
2002
15 years 6 months ago
2002
This paper contains a new convergence analysis for the Lewis and Torczon generalized pattern search (GPS) class of methods for unconstrained and linearly constrained optimization. ...
151
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SIAMJO
2002
15 years 6 months ago
2002
Nonsmoothness pervades optimization, but the way it typically arises is highly structured. Nonsmooth behavior of an objective function is usually associated, locally, with an activ...