Abstract

An optical second degree iterative method for accelerating a basic linear stationary iterative method of first degree with zeal eigenvalues has been studied by Young [18], [19] and Young and Kincaid [20]. The derivation of this method is now established for the case when the eigenvalues are contained in an elliptical region in the complex plane. By extending results developed by Kublanowskaya (Faddeev–Faddeeva [1]) and N iethammer [8], this second-degree method is obtained through an application of conformal mapping and summation techniques.

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