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Book Cover
Author Golʹshteĭn, E. G. (Evgeniĭ Grigorʹevich)

Title Modified Lagrangians and monotone maps in optimization / E.G. Golshtein and N.V. Tretyakov ; translated by N.V. Tretyakov.

Published New York : Wiley, [1996]


Location Call No. Status
Uniform title Modifit͡sirovannye funkt͡sii Lagranzha. English
Physical description ix, 438 pages ; 24 cm.
Series Wiley-Interscience series in discrete mathematics and optimization.
Wiley-Interscience series in discrete mathematics and optimization.
Notes "A Wiley-Interscience publication."
Bibliography Includes bibliographical references (pages 427-432) and index.
Contents 1. Introduction to Convex Analysis -- 2. Modified Lagrangian Functions for Convex Programming Problems -- 3. Dual Methods -- 4. Monotone Maps -- 5. Gradient-Type Methods and Modification of a Monotone Map -- 6. Saddle Gradient Methods -- 7. Modified Lagrangian Functions For Smooth Mathematical Programming Problems And Related Dual Methods.
Summary This translation of the important Russian text covers the theory and computational methods of modified Lagrangian functions (MLFs) - a new branch of mathematical programming used to solve optimization problems. Providing a thorough analysis for both traditional convex programming and monotone maps, the book shows the advantages of MLFs over classical Lagrangian functions in such practical applications as numerical algorithms, economic modeling, decomposition, and nonconvex local constrained optimization. For mathematicians involved in discrete math and optimization, and for graduate students taking courses in complex analysis and mathematical programming, Modified Lagrangians and Monotone Maps in Optimization serves as an indispensable professional reference and graduate-level text that goes beyond the classical Lagrange scheme, and offers diverse techniques for tackling this field.
Other author Tretʹi͡akov, N. V. (Nikolaĭ Vladimirovich)
Subject Mathematical optimization.
Lagrangian functions.
ISBN 0471548219 (cloth : acid-free paper)