Abstract
We generalize the Padé approximation method of transforming a power series into a rational function for systems of linear equations over the skew-field of quaternions. We carry out a regularization of the solution for the case when the operator equation is ill-posed.
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Translated fromMatematichni Metodi ta Fiziko-Mekhanichni Polya, Vol. 39, No. 2, 1996, pp. 89–95.
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Kirchei, I.I. Fractional-rational regularization of a system of linear equations over the skew-field of quaternions. J Math Sci 90, 2398–2403 (1998). https://doi.org/10.1007/BF02433974
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DOI: https://doi.org/10.1007/BF02433974