Convex Analysis and Minimization Algorithms II: Advanced Theory and Bundle Methods / Edition 1

Convex Analysis and Minimization Algorithms II: Advanced Theory and Bundle Methods / Edition 1

by Jean-Baptiste Hiriart-Urruty, Claude Lemarechal
     
 

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ISBN-10: 3540568522

ISBN-13: 9783540568520

Pub. Date: 10/25/2001

Publisher: Springer Berlin Heidelberg

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

Overview

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"

Product Details

ISBN-13:
9783540568520
Publisher:
Springer Berlin Heidelberg
Publication date:
10/25/2001
Series:
Grundlehren der mathematischen Wissenschaften Series, #306
Edition description:
1st ed. 1993. 2nd corr. printing 1996
Pages:
365
Product dimensions:
6.30(w) x 9.10(h) x 1.10(d)

Table of Contents

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.

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