Ikramov, Kh. D. 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 Keywords:normal matrix; Toeplitz decomposition; linear fractional function; rational algorithm; inertia indices of Hermitian matrix; localization regions for eigenvalues PDFBibTeX XMLCite \textit{Kh. D. Ikramov}, Comput. Math. Math. Phys. 59, No. 8, 1233--1235 (2019; Zbl 1433.65051); translation from Zh. Vychisl. Mat. Mat. Fiz. 59, No. 8, 1296--1298 (2019) Full Text: DOI 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]. This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.