Geodesic
Bounds of modulus of eigenvalues based on Stein equation
Kybernetika, Tome 46 (2010) no. 4, pp. 655-664.

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This paper is concerned with bounds of eigenvalues of a complex matrix. Both lower and upper bounds of modulus of eigenvalues are given by the Stein equation. Furthermore, two sequences are presented which converge to the minimal and the maximal modulus of eigenvalues, respectively. We have to point out that the two sequences are not recommendable for practical use for finding the minimal and the maximal modulus of eigenvalues.
Classification : 65F10, 65F15
Keywords: eigenvalues; lower and upper bounds; Stein equation 
@article{KYB_2010__46_4_a4,
     author = {Hu, Guang-Da and Zhu, Qiao},
     title = {Bounds of modulus of eigenvalues based on {Stein} equation},
     journal = {Kybernetika},
     pages = {655--664},
     publisher = {mathdoc},
     volume = {46},
     number = {4},
     year = {2010},
     mrnumber = {2722093},
     zbl = {1205.15031},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KYB_2010__46_4_a4/}
}
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Hu, Guang-Da; Zhu, Qiao. Bounds of modulus of eigenvalues based on Stein equation. Kybernetika, Tome 46 (2010) no. 4, pp. 655-664. http://geodesic.mathdoc.fr/item/KYB_2010__46_4_a4/