Fundamental principles of the theory of extremal problems
著者
書誌事項
Fundamental principles of the theory of extremal problems
Wiley, 1986, c1982
Licensed ed
- タイトル別名
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Theory of extremal problems
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注記
"A Wiley-Interscience publication"
内容説明・目次
内容説明
This monograph deals with the general principles of the theory of extremal problems. In particular, the author discusses Lagrange's principle, the duality principle, the complete elimination of restrictions, the Hamilton-Jacobi principle, the extension of extremal problems, and the invariance principle. These principles enable a variety of different extremal problems (for example, the calculus of variations, optimal control, and convex programming), to be considered from a unified point of view.
目次
- Preface
- Introduction
- Background Material
- The Lagrange Principle for Constrained Problems
- The Duality Principle in Convex Analysis and Convex Programming
- The Principle of Extension of Variational Problems
- The Problem of Complete Constraint Removal, the Hamilton-Jacobi Principle, the Invariance Principle
- Examples
- References
- Basic Notation
- Index.
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