On the latent roots of λ matrices |
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Authors: | Paul Tur n |
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Affiliation: | Mathematics Institute of the Hungarian Academy of Sciences, Budapest V., Reàltanodautca 13–15, Hungary |
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Abstract: | In this paper we consider equations defined by (1.3)–(1.2)–(1.4). We describe in detail three algorithms for the approximate determination of |λnr|, for |λ1| resp. for one of the λj's. The single steps of the algorithms are the four fundamental operations and the positive value of kth roots of positive numbers and the main interest of them lies in the fact that (the algorithms themselves and so) their lengths depend only on n, r and the prescribed relative error and not on the entries of the matrices Aν. |
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