Abstract
In this paper, we present an enhanced spectral correction for the DMDY conjugate gradient method. Our approach involves integrating a third term and determining its parameter through three different approaches. The primary objective is to ensure the sufficient descent condition. By applying the Wolfe line search conditions, we establish the global convergence property for all three proposed algorithms. Numerical tests conclusively demonstrate the superior efficiency of our algorithms, surpassing that of existing methods.
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More From: Annals of the Academy of Romanian Scientists Series on Mathematics and Its Application
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