Dual, Feasible Direction Algorithms.

Abstract

An algorithm for the solution of nonlinearly constrained optimization problems with essentially nonnegativity constraints only. The quadratic subproblems are solved by principal pivoting or other fast quadratic methods. A new method for preventing jamming (or zigzagging) is proposed. Also a general convergence theorem for optimization algorithms is given using the concept of a general necessary optimality function and incorporating the antijamming feature. All algorithms work under a choice of a number of step size selection methods. (Author)

Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1972
Accession Number
AD0742908

Entities

People

  • Olvi L. Mangasarian

Organizations

  • University of Wisconsin–Madison

Tags

DTIC Thesaurus Topics

  • Algorithms
  • Antijamming
  • Convergence
  • Evolutionary Algorithms
  • Heuristic Methods
  • Mathematics
  • Optimization

Fields of Study

  • Mathematics

Readers

  • Operations Research