Abstract
It is shown that the generalization of the conjugate direction method of Van Wyk (Ref. 1) is the direction counterpart to Fletcher's biconjugate gradient algorithm (Ref. 2).
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References
Van Wyk, D. J.,Generalization of Conjugate Direction Methods in the Optimization of Functions, Journal of Optimization Theory and Applications, Vol. 21, pp. 435–450, 1977.
Fletcher, R.,Conjugate Gradient Methods for Indefinite Systems, Proceedings of the Dundee Biennial Conference on Numerical Analysis, 1975, Edited by G. A. Watson, Springer-Verlag, Berlin, Germany, 1976.
Luenberger, D. G.,Introduction of Linear and Nonlinear Programming, Addison-Wesley Publishing Company, Reading, Massachusetts, p. 119, 1973.
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Communicated by A. Miele
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Ringwood, G.A. Biconjugate directions. J Optim Theory Appl 28, 259–261 (1979). https://doi.org/10.1007/BF00933246
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DOI: https://doi.org/10.1007/BF00933246