Convex Optimization with Computational Errors

Lingua: inglese

Editore: Springer International Publishing Feb 2021, 2021

3030378241 / 9783030378240

Serie: Libro 146 di 176 - Springer Optimization and Its Applications

Da: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, GermaniaBuchWeltWeit Ludwig Meier e.K.

Venditore con 5 stelle

Venditore AbeBooks dal 11 gennaio 2012

Brossura

Condizione: Nuovo

EUR 96,29

EUR 23,00 spedizione 
Spedito da Germania a U.S.A.

Quantità: 2 disponibili

Aggiungi al carrello
Resi gratuiti per 30 giorni

Descrizione dell’articolo da parte del venditore

This item is printed on demand - it takes 3-4 days longer - Neuware -The book is devoted to the study of approximate solutions of optimization problems in the presence of computational errors. It contains a number of results on the convergence behavior of algorithms in a Hilbert space, which are known as important tools for solving optimization problems. The research presented in the book is the continuation and the further development of the author's (c) 2016 book Numerical Optimization with Computational Errors, Springer 2016. Both books study the algorithms taking into account computational errors which are always present in practice. The main goal is, for a known computational error, to find out what an approximate solution can be obtained and how many iterates one needs for this.The main difference between this new book and the 2016 book is that in this present book the discussion takes into consideration the fact that for every algorithm, its iteration consists of several steps and that computational errors for different steps are generally, different. This fact, which was not taken into account in the previous book, is indeed important in practice. For example, the subgradient projection algorithm consists of two steps. The first step is a calculation of a subgradient of the objective function while in the second one we calculate a projection on the feasible set. In each of these two steps there is a computational error and these two computational errors are different in general.It may happen that the feasible set is simple and the objective function is complicated. As a result, the computational error, made when one calculates the projection, is essentially smaller than the computational error of the calculation of the subgradient. Clearly, an opposite case is possible too.Another feature of this book is a study of a number of important algorithms which appeared recently in the literature and which are not discussed in the previous book.This monograph contains 12 chapters. Chapter 1 is an introduction. In Chapter 2 we study the subgradient projection algorithm for minimization of convex and nonsmooth functions. We generalize the results of [NOCE] and establish results which has no prototype in [NOCE]. In Chapter 3 we analyze the mirror descent algorithm for minimization of convex and nonsmooth functions, under the presence of computational errors. For this algorithm each iteration consists of two steps. The first step is a calculation of a subgradient of the objective function while in the second one we solve an auxiliary minimization problem on the set of feasible points. In each of these two steps there is a computational error. We generalize the results of [NOCE] and establish results which has no prototype in [NOCE]. In Chapter 4 we analyze the projected gradient algorithm with a smooth objective function under the presence of computational errors. In Chapter 5 we consider an algorithm, which is an extension of the projection gradient algorithm used for solving linear inverse problems arising in signal/image processing. In Chapter 6 we study continuous subgradient method and continuous subgradient projection algorithm for minimization of convex nonsmooth functions and for computing the saddle points of convex-concave functions, under the presence of computational errors. All the results of this chapter has no prototype in [NOCE]. In Chapters 7-12 we analyze several algorithms under the presence of computational errors which were not considered in [NOCE]. Again, each step of an iteration has a computational errors and we take into account that these errors are, in general, different. An optimization problems with a composite objective function is studied in Chapter 7. A zero-sum game with two-players is considered in Chapter 8. A predicted decrease approximation-based method is used in Chapter 9 for constrained convex optimization. Chapter 10 is devoted tomin 372 pp. Englisch.…

Codice articolo 9783030378240

Titolo
Convex Optimization with Computational Errors
Autore
Alexander J. Zaslavski
Editore
Springer International Publishing Feb 2021
Anno di pubblicazione
2021
Condizione
Neu
Rilegatura
Taschenbuch
Lingua
inglese
ISBN 10
3030378241
ISBN 13
9783030378240
Peso dell'articolo
563 grammi
Dimensioni
235x155x21 mm
Serie
Libro 146 di 176: Springer Optimization and Its Applications

BuchWeltWeit Ludwig Meier e.K.

Bergisch Gladbach, Germania

Venditore con 5 stelle

Venditore AbeBooks dal 11 gennaio 2012

Tariffe di spedizione da Germania a U.S.A.

ArticoloDa 5 a 15 giorni lavorativiDa 5 a 15 giorni lavorativi
Primo articoloEUR 23,00EUR 23,00
I tempi di consegna sono stabiliti dai venditori e variano in base al corriere e al paese. Gli ordini che devono attraversare una dogana possono subire ritardi e spetta agli acquirenti pagare eventuali tariffe o dazi associati. I venditori possono contattarti in merito ad addebiti aggiuntivi dovuti a eventuali maggiorazioni dei costi di spedizione dei tuoi articoli.

Metodi di pagamento

  • Visa
  • Mastercard
  • American Express
  • Carte Bleue
  • Apple Pay
  • Google Pay
  • Assegno
  • Bonifico bancario
  • PayPal

Informazioni sull’azienda del venditore

BuchWeltWeit Ludwig Meier e.K.

Germania

BuchWeltWeit Inh. Ludwig Meier e.K.
Inhaber: Ludwig Meier
De-Gasperi-Str. 8
51469 Bergisch Gladbach
Deutschland

Tel.: +49(0)22028659300
Fax: +49(0)22028659301
E-Mail: info@buchweltweit.de

Registergericht: Amtsgericht Köln
Registernummer: HRA 28253

Umsatzsteuer-Identifikationsnummer: DE815259907

Wir sind zur Teilnahme an einem Streitbeilegungsverfahren vor einer Verbraucherschlichtungsstelle weder verpflichtet noch bereit.