A finite computational algorithm using arithmetic operations only is said to be rational. It is shown that the regular part of a singular matrix pencil can be isolated by a rational algorithm.
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F. R. Gantmakher, The Theory of Matrices [in Russian], Nauka, Moscow (1966).
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Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 439, 2015, pp. 107–111.
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Ikramov, K.D. Isolation of the Regular Part of a Singular Matrix Pencil as a Rational Algorithm. J Math Sci 216, 792–794 (2016). https://doi.org/10.1007/s10958-016-2944-5
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DOI: https://doi.org/10.1007/s10958-016-2944-5