On convergence properties of a least-distance programming procedure for minimization problems under linear constraints

  • G. L. Xue
Technical Note


In Ref. 1, Bazaraa and Goode provided an algorithm for solving a nonlinear programming problem with linear constraints. In this paper, we show that this algorithm possesses good convergence properties.

Key Words

Nonlinear programming linear constraints algorithms quasiconvex functions pseudoconvex functions global convergence 


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  1. 1.
    Bazaraa, M. S., andGoode, J. J.,A Least-Distance Programming Procedure for Minimization Problems under Linear Constraints, Journal of Optimization Theory and Applications, Vol. 40, No. 4, 1983.Google Scholar
  2. 2.
    Bazaraa, M. S., andShetty, C. M.,Nonlinear Programming Theory and Algorithms, John Wiley and Sons, New York, New York, 1979.Google Scholar

Copyright information

© Plenum Publishing Corporation 1986

Authors and Affiliations

  • G. L. Xue
    • 1
  1. 1.Institute of Operations ResearchQufu Teachers CollegeQufuChina

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