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Minimizing Relative Error using Numerical Results of Three Term Conjugate Gradient Method

B. Baluch, Z. Salleh

Abstract



In this paper, a new approach related to relative error is shown. Previous research on three term conjugate gradient methods shows that they are numerically efficient but not many researcher use them to show anything new. Recently, we have proposed two efficient three term conjugate gradient method namely BZAU and BZA methods. In these methods it has been shown that these methods are numerically efficient in terms of number of iteration, CPU time and function evaluation. Relative error has been employed on the result of these methods to see which of the methods has less relative error. Furthermore, we have shown that our proposed three term conjugate gradient methods relative error is less as compared to the CG methods by which these methods was compared.

Keywords


Three term conjugate gradient method, relative error, BZAU method, BZA method, large-scale.

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