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

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Abstract

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.

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References

  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.

  2. Bazaraa, M. S., andShetty, C. M.,Nonlinear Programming Theory and Algorithms, John Wiley and Sons, New York, New York, 1979.

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Communicated by D. G. Luenberger

This paper was written under the guidance of Associate Professor C. Y. Wang. The author takes great pleasure in thanking him.

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Xue, G.L. On convergence properties of a least-distance programming procedure for minimization problems under linear constraints. J Optim Theory Appl 50, 365–370 (1986). https://doi.org/10.1007/BF00939279

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  • DOI: https://doi.org/10.1007/BF00939279

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