Modern mathematical methods of optimization
著者
書誌事項
Modern mathematical methods of optimization
（Mathematical topics, v. 1）
Akademie Verlag , VCH, 1993
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注記
Includes bibliographical references and index
内容説明・目次
内容説明
This monograph is a concise explanation of recent advances, obtained by scientific workers of Eastern European countries, in the field of optimization and its application in the area of mathematical economy and control of economic systems. Light is thrown on a variety of problems concerned with the construction and analysis of optimization models: equilibrium models of mathematical economy, modern numerical optimization methods and software, methods of convex programming optimal with respect to complexity, polynomial algorithms of linear programming, decomposition of optimization systems, modern apparatus of nonsmooth optimization, models and methods of discrete programming. Special attention is paid to extensions of the optimization approach - to the analysis and correction of inconsistent mathematical programming problems, multiobjective problems, optimization in order scales, and to extremal problems in infinite-dimensional spaces.
目次
- Equilibrium models of mathematical economy
- numerical optimization methods and software
- convex programming methods of optimal complexity
- polynomial algorithms in linear programming
- decomposition of optimization systems
- modern apparatus of non-smooth optimization
- discrete programming models and methods
- analysis of inconsistent mathematical programming problems
- multiobjective problems
- optimization in order scales
- extremal problems in infinite-dimensional spaces.
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