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In this paper the author has considered two-step methods proposed by Ford and Moghrabi with new values of delta. As, it is evident
in literature that quasi-Newton methods (single/multi-step) for solution of
nonlinear unconstrained problems outperforms all other methods available. In case of multi-step methods it can be noted that different choice
of τ values effects the performance of algorithm. Furthermore, it can be
noted that variables in scalar and gradient space depends upon delta (δ )
value. Therefore, in this paper we have considered different choices of δ
values to check the performance of algorithm on 15 test problems. Numerical experiments reveals that performance of algorithm improves when δ
is taken as 0.85 and 0.95.
Farah Jaffar, Nudrat Aamir. (2020) mparative Analysis of Single/multi-step quasi-Newton Methods at Different Delta Values, Punjab University Journal of Mathematics, Volume 52 , Issue 9.
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