Abstract
A conjecture of Dixon relating to the behaviour of variable metric methods on functions with special symmetry is validated under suitable onditions. The relation between Huang's class and Oren's class is explored. Then the equivalence of Davidon's and Oren and Spedicato's approaches to optimal conditioning is demonstrated.
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References
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Spedicato, E. On a conjecture of Dixon and other topics in variable metric methods. Mathematical Programming 15, 123–129 (1978). https://doi.org/10.1007/BF01609011
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DOI: https://doi.org/10.1007/BF01609011