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The book presents a comprehensive framework for various numerical optimization methods through its "reduce-or-retreat" approach, which balances reducing the objective at trial points with retreating to closer alternatives. It aligns derivative-based methods, fostering the development of new techniques and theoretical insights. The author introduces generalizations for non-smooth objectives and examines convergence through a novel notion of stationarity. By exploring descent conditions and situational convergence, the text broadens traditional analyses and connects diverse minimization strategies.
Buchkauf
Stationarity and Convergence in Reduce-or-Retreat Minimization, Adam B. Levy
- Sprache
- Erscheinungsdatum
- 2012
- product-detail.submit-box.info.binding
- (Paperback)
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- Titel
- Stationarity and Convergence in Reduce-or-Retreat Minimization
- Sprache
- Englisch
- Autor*innen
- Adam B. Levy
- Verlag
- Springer New York
- Erscheinungsdatum
- 2012
- Einband
- Paperback
- Seitenzahl
- 68
- ISBN13
- 9781461446415
- Kategorie
- Mathematik, Informatik & Programmierung
- Beschreibung
- The book presents a comprehensive framework for various numerical optimization methods through its "reduce-or-retreat" approach, which balances reducing the objective at trial points with retreating to closer alternatives. It aligns derivative-based methods, fostering the development of new techniques and theoretical insights. The author introduces generalizations for non-smooth objectives and examines convergence through a novel notion of stationarity. By exploring descent conditions and situational convergence, the text broadens traditional analyses and connects diverse minimization strategies.