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The Krasnosel'skiĭ-Mann Iterative Method: Recent Progress and Applications: SpringerBriefs in Optimization

Autor Qiao-Li Dong, Yeol Je Cho, Songnian He, Panos M. Pardalos, Themistocles M. Rassias
en Limba Engleză Paperback – 25 feb 2022
This brief explores the Krasnosel'skiĭ-Man (KM) iterative method, which has been extensively employed to find fixed points of nonlinear methods. 
 



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Specificații

ISBN-13: 9783030916534
ISBN-10: 3030916537
Pagini: 127
Ilustrații: VIII, 127 p. 2 illus.
Dimensiuni: 155 x 235 mm
Greutate: 0.2 kg
Ediția:1st ed. 2022
Editura: Springer International Publishing
Colecția Springer
Seria SpringerBriefs in Optimization

Locul publicării:Cham, Switzerland

Cuprins

1. Introduction.- 2. Notation and Mathematical Foundations.-3. The Krasnoselskii-Mann Iteration.- 4. Relations of the Krasnosel'skii-Mann Iteration and the Operator Splitting Methods.- 5. The Inertial Krasnoselskii-Mann Iteration.- 6. The Multi-step Inertial Krasnoselskii-Mann Iteration.- 7. Relaxation Parameters of the Krasnoselskii-Mann Iteration.- 8. Two Applications.

Caracteristici

Offers a self-contained presentation of both classical and new results for interdisciplinary research Contains cutting-edge techniques and various applications Discusses recent applications of KM in large-scale optimization methods