TY - BOOK AU - Bertsekas, dimitri TI - Convex optimization theory SN - 9788173717147 PY - 2010/// CY - Hyaderabad (India) PB - Universities press (India) private LTD. KW - Mathematical optimization KW - Fonctions convexes KW - Convex functions N2 - The book, Convex Optimization Theory provides an insightful, concise and rigorous treatment of the basic theory of convex sets and functions in finite dimensions and the analytical/geometrical foundations of convex optimization and duality theory. The convexity theory is developed first in a simple accessible manner using easily visualized proofs. The focus then shifts to a transparent geometrical line of analysis to develop the fundamental duality between descriptions of convex sets and functions in terms of points and in terms of hyperplanes ER -