FUNCTIONAL DEPENDENCE OF LAGRANGE MULTIPLIERS

Abstract

Given three variational problems consisting of minimizing a given function(al) subject to one constraint function(al), the three equivalent Lagrange-multiplier problems are deduced and the proper functional dependence of the particular Lagrange multipliers is derived. The results prove the consistency of the use and subsequent physical interpretation of the constant Lagrange multipliers in the plasma, global-stability, variational calculations with integral constraints of Chandrasekhar, of Woltzer, and of Wells and Norwood.

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Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1970
Accession Number
AD0704620

Entities

People

  • Lawrence Carl Hawkins

Organizations

  • University of Miami

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DTIC Thesaurus Topics

  • Consistency
  • Contracts
  • Elimination
  • Inspection
  • Integrals
  • Notation
  • Nuclear Energy
  • Production Rate
  • Reliability
  • Scalar Functions
  • Security
  • Stationary
  • United States
  • Universities
  • Virginia

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  • Calculus or Mathematical Analysis
  • Operations Research