A Newton Method for the Pies Energy Model.

Abstract

Newton's method is a well known and often applied technique for computing a zero of a nonlinear function. By using the theory of generalized equations, a Newton method has been developed to solve problems arising in both mathematical programming and mathematical economics. It is shown how Newton's method for generalized equations can be applied to the economic equilibrium problem of the Project Independence Evaluation System (PIES) Energy Model. Solutions to a simplified version of PIES are obtained using a Newton method, and comparisons are made to solutions which have appeared in the literature.

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Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1979
Accession Number
ADA077102

Entities

People

  • Norman H. Josephy

Organizations

  • University of Wisconsin–Madison

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Algorithms
  • Consumers
  • Elastic Properties
  • Engineering
  • Equations
  • Fuel Oils
  • Linear Programming
  • Materials
  • Mathematical Programming
  • Mathematics
  • Operations Research
  • Petroleum
  • Production
  • Refineries
  • Simplex Method
  • Wisconsin

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Economics