Lagrange-type Functions in Constrained Non-Convex Optimization - Softcover

Rubinov, Alexander M.; Xiao-qi Yang

 
9781441991737: Lagrange-type Functions in Constrained Non-Convex Optimization

This specific ISBN edition is currently not available.

Synopsis

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)

"synopsis" may belong to another edition of this title.

Review

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)

"About this title" may belong to another edition of this title.

Other Popular Editions of the Same Title

9781402076275: Lagrange-type Functions in Constrained Non-Convex Optimization (Applied Optimization, 85)

Featured Edition

ISBN 10:  1402076274 ISBN 13:  9781402076275
Publisher: Springer, 2003
Hardcover