Convex Analysis and Minimization Algorithms II: Advanced Theory and Bundle Methods (Grundlehren der mathematischen Wissenschaften, 306)

Hiriart-Urruty, Jean-Baptiste; Lemarechal, Claude

ISBN 10: 3540568522 / ISBN 13: 9783540568520

Editore: Springer, 1993

Riguardo questo articolo

Codice articolo I-9783540568520

Dati bibliografici

Titolo: Convex Analysis and Minimization Algorithms ...

Casa editrice: Springer

Data di pubblicazione: 1993

Legatura: Rilegato

Condizione: New

Descrizione articolo

Riassunto:

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"

Contenuti:

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.