Fundamental principles of the theory of extremal problems

著者

書誌事項

Fundamental principles of the theory of extremal problems

by Vladimir M. Tikhomirov ; translated by Bernd Luderer

Wiley, 1986, c1982

Licensed ed

タイトル別名

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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