Convex Analysis and Minimization Algorithms II

Advanced Theory and Bundle Methods
1. Auflage 1993. 2. corr. printing. Softcover version of original hardcover Auflage 1993
ISBN: 978-3-642-08162-0
Verlag: Springer

Buch, Englisch, Band 306, 348 Seiten, Previously published in hardcover, Format (B × H): 155 mm x 235 mm, Gewicht: 563 g

Reihe: Grundlehren der mathematischen Wissenschaften

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"

Zielgruppe

Research

Autoren/Hrsg.

Lemarechal, Claude

Hiriart-Urruty, Jean-Baptiste

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Funktionentheorie, Komplexe Analysis
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Numerische Mathematik

Inhaltsverzeichnis

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.