Modified Lagrangians and Monotone Maps in Optimization
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More About This Title Modified Lagrangians and Monotone Maps in Optimization

English

E.G. Golshtein, PhD, is the Head of the Laboratory for Optimization Theory and Computational Method of the Central Economics and Mathematics Institute at the Russian Academy of Sciences and Professor of Mathematics on the economic faculty, Moscow State University. He is also a member of the editorial boards of the journals Ekonomica i Matematicheskie Metody (Moscow), Optimization (Berlin), and Optimization: Methods and Software and has over 140 publications to his credit.

N.V. Tretyakov, PhD, is currently the Head of the LAN and DTP Laboratory at the Central Economics and Mathematics Institute (CEMI). He received his doctoral degree in mathematics from CEMI's Russian Academy of Sciences, where he has been on the research staff since 1969. Dr. Tretyakov's fields of interest are mathematical programming and computer networking.

English

Introduction to Convex Analysis.

Modified Lagrangian Functions for Convex Programming Problems.

Dual Methods.

Monotone Maps.

Gradient-Type Methods and Modification of a Monotone Map.

Saddle Gradient Methods.

Modified Lagrangian Functions for Smooth Mathematical Programming Problems and Related Dual Methods.

Bibliographic Comments.

References.

Index.

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