A Quadratic Programming Algorithm Which Uses Generalized Inverses.

Abstract

An algorithm for solving quadratic programming problems is described in this study. A quadratic programming problem here is defined as finding the maximum of a quadratic function of several variables where the variables are subject to linear equality and inequality constraints. The quadratic function is restricted to be strictly concave. The algorithm uses generalized inverses of matrices to sort through the constraints in order to find quickly the set of constraints that is binding in the final solution. The algorithm is then compared to other existing quadratic programming algorithms.

Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1974
Accession Number
ADA003355

Entities

People

  • David R. Czaplicki

Organizations

  • Air Force Institute of Technology

Tags

DTIC Thesaurus Topics

  • Algorithms
  • Computer Programming
  • Evolutionary Algorithms
  • Heuristic Methods
  • Inequalities
  • Mathematics
  • Quadratic Programming

Fields of Study

  • Mathematics

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Mathematical Modeling and Probability Theory.