Two optimal Hager-Zhang conjugate gradient methods for solving monotone nonlinear equations

By J. Sabi’u, A. Shah, M. Waziri. 2020

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Abstract We derived two adaptive choices for the nonnegative parameter of the Hager-Zhang conjugate gradient method. The first was achieved by minimizing the Frobenius condition number of the search direction matrix and the other by minimizing the difference between the smallest and the largest singular value. Global convergence is based on an appropriate assumption. Preliminary numerical results demonstrate the efficiency of the two adaptive choices.

Subfields: Computational Theory and Mathematics, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/80413bd148ca6922acc6ac6c6f914c89da1b46d5