Convex Analysis and Minimization Algorithms II
Advanced Theory and Bundle Methods
Published on 1. December 2010
Book
Paperback/Softback
XVIII, 348 pages
978-3-642-08162-0 (ISBN)
Description
From the reviews: "The account is quite detailed and is written in a manner that will appeal to analysts and numerical practitioners alike...they contain everything from rigorous proofs to tables of numerical calculations.... one of the strong features of these books...that they are designed not for the expert, but for those who whish to learn the subject matter starting from little or no background...there are numerous examples, and counter-examples, to back up the theory...To my knowledge, no other authors have given such a clear geometric account of convex analysis." "This innovative text is well written, copiously illustrated, and accessible to a wide audience"
Reviews / Votes
From the reviews: "The account is quite detailed and is written in a manner that will appeal to analysts and numerical practitioners alike...they contain everything from rigorous proofs to tables of numerical calculations.... one of the strong features of these books. . . [is] that they are designed not for the expert, but for those who wish to learn the subject matter starting from little or no background...there are numerous examples, and counter-examples, to back up the theory...To my knowledge, no other authors have given such a clear geometric account of convex analysis." "This innovative text is well written, copiously illustrated, and accessible to a wide audience"More details
Series
Edition
1st ed. Softcover of orig. ed. 1993
Language
English
Place of publication
Berlin
Germany
Publishing group
Springer Berlin
Target group
Professional and scholarly
Research
Illustrations
XVIII, 348 p.
Dimensions
Height: 235 mm
Width: 155 mm
Thickness: 21 mm
Weight
563 gr
ISBN-13
978-3-642-08162-0 (9783642081620)
DOI
10.1007/978-3-662-06409-2
Schweitzer Classification
Other editions
Additional editions
Jean-Baptiste Hiriart-Urruty | Claude Lemarechal
Convex Analysis and Minimization Algorithms II
Advanced Theory and Bundle Methods
Book
10/1993
Springer
€149.79
Shipment within 7-9 days
Persons
Jean-Baptiste Hiriart-Urruty has substantial experience in teaching mathematics at various levels of higher education. He has written several textbooks and exercise books in English and French, including the first volume of Mathematical Tapas (Springer, 2016). The present volume is the fourth published by Springer.
Content
IX. Inner Construction of the Subdifferential.- X. Conjugacy in Convex Analysis.- XI. Approximate Subdifferentials of Convex Functions.- XII. Abstract Duality for Practitioners.- XIII. Methods of ?-Descent.- XIV. Dynamic Construction of Approximate Subdifferentials: Dual Form of Bundle Methods.- XV. Acceleration of the Cutting-Plane Algorithm: Primal Forms of Bundle Methods.- Bibliographical Comments.- References.