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Dissipative matrices and related results. (English) Zbl 0308.15008


MSC:

15A42 Inequalities involving eigenvalues and eigenvectors
Full Text: DOI

References:

[1] Fan, Ky, On strictly dissipative matrices, Linear Algebra Appl., 9, 223 (1974) · Zbl 0293.15021
[2] Fan, Ky, On a theorem of Weyl concerning eigenvalues of linear transformations, I, Proc. Natl. Acad. Sci. U.S.A., 35, 652-655 (1949) · Zbl 0041.00602
[3] Fan, Ky, Maximum properties and inequalities for the eigenvalues of completely continous operators, Proc. Natl. Acad. Sci. U.S.A., 37, 760-766 (1951) · Zbl 0044.11502
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[9] Thompson, R. C.; Freede, L. J., On the eigenvalues of sums of Hermitian matrices, Linear Algebra Appl., 4, 369-376 (1971) · Zbl 0228.15005
[10] Trott, G. R., On the canonical form of a nonsingular pencil of Hermitian matrices, Am. J. Math., 56, 359-371 (1934) · Zbl 0009.24202
[11] Turnbull, H. W., On the equivalence of pencils of Hermitian forms, Proc. Lond. Math. Soc., 39, 2, 232-248 (1935) · Zbl 0011.28902
[12] Williamson, J., The equivalence of nonsingular pencils of Hermitian matrices in an arbitrary field, Am. J. Math., 57, 475-490 (1935) · Zbl 0012.00403
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