direkt zum Inhalt springen

direkt zum Hauptnavigationsmenü

Sie sind hier

TU Berlin

Inhalt des Dokuments

Ehemalige Mitarbeiter

Prof. Dr. Martin Lotz

Lupe

Kontakt
Mathematics Institute
Zeeman Building
University of Warwick
Coventry CV4 7AL
United Kingdom
 
Persönliche Homepage
http://homepages.warwick.ac.uk/staff/Martin.Lotz/

Publikationen in der Arbeitsgruppe

Smoothed analysis of complex conic condition numbers
Zitatschlüssel BCL-Smoothed-Analysis-Of-Complex-Conic-Condition-Numbers
Autor Peter Bürgisser and Felipe Cucker and Martin Lotz
Seiten 293-309
Jahr 2006
Journal Journal de Mathématiques Pures et Appliquées
Jahrgang 86
Zusammenfassung Smoothed analysis of complexity bounds and condition numbers has been done, so far, on a case by case basis. In this paper we consider a reasonably large class of condition numbers for problems over the complex numbers and we obtain smoothed analysis estimates for elements in this class depending only on geometric invariants of the corresponding sets of ill-posed inputs. These estimates are for a version of smoothed analysis proposed in this paper which, to the best of our knowledge, appears to be new. Several applications to linear and polynomial equation solving show that estimates obtained in this way are easy to derive and quite accurate.
Link zur Publikation Link zur Originalpublikation Download Bibtex Eintrag

Zusatzinformationen / Extras

Direktzugang

Schnellnavigation zur Seite über Nummerneingabe