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Smoothed analysis of condition numbers
Zitatschlüssel B-Smoothed-Analysis-Of-Condition-Numbers
Autor Peter Bürgisser
Buchtitel Proceedings of the International Congress of Mathematicians
Seiten 2609-2633
Jahr 2010
Adresse New Delhi
Jahrgang IV
Verlag Hindustan Book Agency
Zusammenfassung We present some recent results on the probabilistic behaviour of interior point methods for the convex conic feasibility problem and for homotopy methods solving complex polynomial equations. As suggested by Spielman and Teng, the goal is to prove that for all inputs (even ill-posed ones), and all slight random perturbations of that input, it is unlikely that the running time will be large. These results are obtained through a probabilistic analysis of the condition of the corresponding computational problems.
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