TY - CHAP
T1 - Some concepts and results from convex analysis
AU - Stańczak, Sławomir
AU - Wiczanowski, Marcin
AU - Boche, Holger
N1 - Publisher Copyright:
© Springer-Verlag Berlin Heidelberg 2009.
PY - 2008
Y1 - 2008
N2 - In this chapter, we collect definitions, notational conventions and several results from convex analysis that may be helpful in better understanding the material covered in this manuscript. Proofs are provided only for selected results concerning the notion of log-convexity and the convergence of gradient projection algorithms. For other proofs, the reader is referred to any standard analysis book (e.g., [39]) and [160, 162, 16].
AB - In this chapter, we collect definitions, notational conventions and several results from convex analysis that may be helpful in better understanding the material covered in this manuscript. Proofs are provided only for selected results concerning the notion of log-convexity and the convergence of gradient projection algorithms. For other proofs, the reader is referred to any standard analysis book (e.g., [39]) and [160, 162, 16].
UR - http://www.scopus.com/inward/record.url?scp=85101102631&partnerID=8YFLogxK
U2 - 10.1007/978-3-540-79386-1_8
DO - 10.1007/978-3-540-79386-1_8
M3 - Chapter
AN - SCOPUS:85101102631
T3 - Foundations in Signal Processing, Communications and Networking
SP - 377
EP - 400
BT - Foundations in Signal Processing, Communications and Networking
PB - Springer Science and Business Media B.V.
ER -