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- W2055147466 abstract "Let the n × n complex matrix A have complex eigenvalues λ1,λ2,…λn. Upper and lower bounds for Σ(Reλi)2 are obtained, extending similar bounds for Σ|λi|2 obtained by Eberlein (1965), Henrici (1962), and Kress, de Vries, and Wegmann (1974). These bounds involve the traces of A∗A, B2, C2, and D2, where B=12 (A + A∗), C=12 (A − A∗) /i, and D = AA∗ − A∗A, and strengthen some of the results in our earlier paper “Bounds for eigenvalues using traces” in Linear Algebra and Appl. [12]." @default.
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- W2055147466 date "1980-06-01" @default.
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- W2055147466 title "More bounds for elgenvalues using traces" @default.
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- W2055147466 doi "https://doi.org/10.1016/0024-3795(80)90201-3" @default.
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