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Matrix equations and the separation of matrix eigenvalues. (English) Zbl 0187.30104

15A24 Matrix equations and identities
Full Text: DOI
[1] Fujiwara, M.: Über die nullstellen der ganzen funktionen vom geschlecht null und eins. Tohôku math. J. 25, 27-35 (1925) · JFM 51.0098.02
[2] Gantmacher, F. R.: The theory of matrices. (1960) · Zbl 0088.25103
[3] Gantmacher, F. R.: The theory of matrices. (1960) · Zbl 0088.25103
[4] Hermite, C.: Extrait d’une lettre de mr. Ch. Hermite de Paris à mr. Borchardt de Berlin sur le nombre des racines d’une équation algébrique comprises entre des limites données. J. reine angew. Math. 51, 39-51 (1856) · ERAM 052.1365cj
[5] Krein, M. G.; Naimark, M. A.: The method of symmetric and Hermitian forms in the theory of the separation of the roots of algebraic equations. (1936)
[6] Macduffee, C. C.: The theory of matrices. (1956) · Zbl 0007.19507
[7] Marden, M.: The geometry of polynomials. Math. surveys 3 (1966) · Zbl 0162.37101
[8] Ostrowski, A.; Schneider, H.: Some theorems on the inertia of general matrices. J. math. Anal. appl. 4, 72-84 (1962) · Zbl 0112.01401
[9] Stéphanos, C.: Sur une extension du calcul des substitutions linéaires. J. math. Pures appl. 6, 73-128 (1900) · JFM 31.0132.01
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