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Newton like line search method using \(q\)-calculus. (English) Zbl 1442.65109

Giri, Debasis (ed.) et al., Mathematics and computing. Third international conference, ICMC 2017, Haldia, India, January 17–21, 2017. Proceedings. Singapore: Springer. Commun. Comput. Inf. Sci. 655, 196-208 (2017).
Summary: In this paper some Newton like methods for unconstrained optimization problem are restructured using \(q\)-calculus (quantum calculus). Two schemes are proposed, (1) \(q\)-Newton line search scheme, (2) a variant of \(q\)-Newton line search scheme. Global convergence of these schemes are discussed and numerical illustrations are provided.
For the entire collection see [Zbl 1411.65007].

MSC:

65K10 Numerical optimization and variational techniques
05A30 \(q\)-calculus and related topics
90C26 Nonconvex programming, global optimization
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