A Symmetric PRP-Type Method With a Restart Strategy and Its Global Convergence Without Lipschitz Condition

Kabiru Ahmed, Mohamad Afendee Mohamed, Mohammed A. Saleh, Sulaiman M. Ibrahim, Seyed Yaser Mousavi Siamakani, Abubakar Sani Halilu, Abdulgader Z. Almaymuni and Mohammed Yusuf Waziri

Journal of Mathematics, 2026, vol. 2026, 1-27

Abstract: Poor convergence theory for general nonlinear functions is a known drawback of the traditional Polak–Ribiere–Polyak (PRP) method. A version of the scheme, which address this shortcoming, is the subject of this research. Unlike the classical PRP scheme, the modified version does not require the usual Lipschitz condition or a particular line search procedure for its global convergence analysis. Numerical results from experiments on constrained nonlinear systems and some compressive sensing problems show the effectiveness of the method.

Date: 2026
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:1110556

DOI: 10.1155/jom/1110556

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