Lagrange-type Functions in Constrained Non-Convex Optimization

From the reviews:

"Lagrange and penalty functions provide a powerful approach for study of constrained optimization problems. ... The book gives a systematic and unified presentation of many important results that have been obtained in this area during last several years. ... The book develops a unified approach to duality and penalization and to convergence analysis of the first and second order optimality conditions. ... A number of impressive new results on the existence of an exact penalty parameter have been obtained in the book." (Vladimir Gaitsgory, gazette The Australian Mathematical Society, Vol. 32 (4), 2005)

"In the monograph a whole optimization theory is developed ... . Besides a large number of theoretical statements, results of numerical experiments showing usefulness of the presented approach are also reported ... . It is shown that a much larger class of optimization problems than that of the convex ones allow for a thorough theoretical analysis and deep results. ... The monograph can be recommended to researchers in mathematical optimization being in interested in nonconvex problems." (Stephan Dempe, OR-News, Issue 23, 2005)