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Certain localization regions for the eigenvalues of a normal matrix. (English. Russian original) Zbl 1433.65051

Comput. Math. Math. Phys. 59, No. 8, 1233-1235 (2019); translation from Zh. Vychisl. Mat. Mat. Fiz. 59, No. 8, 1296-1298 (2019).
Summary: A number of localization regions that can be found by rational algorithms are indicated for the eigenvalues of a normal matrix. Rational algorithms are finite procedures using arithmetic operations only.

MSC:

65F15 Numerical computation of eigenvalues and eigenvectors of matrices
15A18 Eigenvalues, singular values, and eigenvectors
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References:

[1] A. G. Kurosh, Lectures on General Algebra (Fizmatgiz, Moscow, 1963; Chelsea, New York, 1963).
[2] V. V. Prasolov, Problems and Theorems in Linear Algebra (Am. Math. Soc., Providence, 1994; Fizmatlit, Moscow, 1996). · Zbl 0803.15001
[3] V. V. Prasolov, Polynomials (Mosk. Tsentr Neprer. Mat. Obrazovan., Moscow, 2001) [in Russian].
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