On the diagonals of integral matrices
Czechoslovak Mathematical Journal, Tome 30 (1980) no. 2, pp. 207-212
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DOI : 10.21136/CMJ.1980.101672
Classification : 15A42
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Marques de Sá, Eduardo. On the diagonals of integral matrices. Czechoslovak Mathematical Journal, Tome 30 (1980) no. 2, pp. 207-212. doi: 10.21136/CMJ.1980.101672

[1] David Carlson: Inequalities for the Degrees of Elementary Divisiors of Modules. Lin. Algebra and Appl. 5 (1972), 293-298. | DOI | MR

[2] A. J. Hoffman, J. B. Kruskal: Integral Boundary Points of Convex Polyhedra, Linear Inequalities and Related Systems. Princeton, New Jersey, 1956. | MR

[3] A. Horn: Doubly Stochastic Matrices and the Diagonal of a Rotation Matrix. Amer. J. of Math. LXXVI (1954), 620-630, Theorem 5. | DOI | MR | Zbl

[4] A. Horn: On the Eigenvalues of a Matrix with Prescribed Singular Values. Proc. Amer. Math. Soc. 5 (1954), 4-7. | DOI | MR | Zbl

[5] Ky Fan, G. Pall: Imbedding Conditions for Hermitian and Normal Matrices. Can. J. of Math. 9 (1957), 298-304. | DOI | MR | Zbl

[6] Morris Newman: Integral Matrices. Academic Press, New York, 1972. | MR

[7] E. Marques de Sá: Imbedding Conditions for $\lambda$-Matrices. Lin. Algebra and Appl. 24 (1979), 33-50. | DOI | MR | Zbl

[8] R. C. Thompson: Interlacing Inequalities for Invariant Factors. Lin. Algebra and Appl. 24 (1979), 1-32. | DOI | MR | Zbl

[9] H. Weyl: Inequalities Between the Two Kinds of Eigenvalues of a Linear Transformation. Proc. Nat. Acad. Sci. U.S.A. 35 (1949), 401-411. | DOI | MR | Zbl

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