| Title:
|
On the diagonals of integral matrices (English) |
| Author:
|
Marques de Sá, Eduardo |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
30 |
| Issue:
|
2 |
| Year:
|
1980 |
| Pages:
|
207-212 |
| Summary lang:
|
Russian |
| . |
| Category:
|
math |
| . |
| MSC:
|
15A42 |
| idZBL:
|
Zbl 0475.15006 |
| idMR:
|
MR566047 |
| DOI:
|
10.21136/CMJ.1980.101672 |
| . |
| Date available:
|
2008-06-09T14:38:44Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/101672 |
| . |
| Reference:
|
[1] David Carlson: Inequalities for the Degrees of Elementary Divisiors of Modules.Lin. Algebra and Appl. 5 (1972), 293-298. MR 0304398, 10.1016/0024-3795(72)90010-9 |
| Reference:
|
[2] A. J. Hoffman, J. B. Kruskal: Integral Boundary Points of Convex Polyhedra, Linear Inequalities and Related Systems.Princeton, New Jersey, 1956. MR 0085148 |
| Reference:
|
[3] A. Horn: Doubly Stochastic Matrices and the Diagonal of a Rotation Matrix.Amer. J. of Math. LXXVI (1954), 620-630, Theorem 5. Zbl 0055.24601, MR 0063336, 10.2307/2372705 |
| Reference:
|
[4] A. Horn: On the Eigenvalues of a Matrix with Prescribed Singular Values.Proc. Amer. Math. Soc. 5 (1954), 4-7. Zbl 0055.00908, MR 0061573, 10.1090/S0002-9939-1954-0061573-6 |
| Reference:
|
[5] Ky Fan, G. Pall: Imbedding Conditions for Hermitian and Normal Matrices.Can. J. of Math. 9 (1957), 298-304. Zbl 0077.24504, MR 0085216, 10.4153/CJM-1957-036-1 |
| Reference:
|
[6] Morris Newman: Integral Matrices.Academic Press, New York, 1972. MR 0340283 |
| Reference:
|
[7] E. Marques de Sá: Imbedding Conditions for $\lambda$-Matrices.Lin. Algebra and Appl. 24 (1979), 33-50. Zbl 0395.15009, MR 0524824, 10.1016/0024-3795(79)90145-9 |
| Reference:
|
[8] R. C. Thompson: Interlacing Inequalities for Invariant Factors.Lin. Algebra and Appl. 24 (1979), 1-32. Zbl 0395.15003, MR 0524823, 10.1016/0024-3795(79)90144-7 |
| Reference:
|
[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. Zbl 0032.38701, MR 0030693, 10.1073/pnas.35.7.408 |
| . |
