| Title:
|
Additive compound matrices and an inequality for eigenvalues of symmetric stochastic matrices (English) |
| Author:
|
Fiedler, Miroslav |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
24 |
| Issue:
|
3 |
| Year:
|
1974 |
| Pages:
|
392-402 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| MSC:
|
15A42 |
| idZBL:
|
Zbl 0345.15013 |
| idMR:
|
MR0347858 |
| DOI:
|
10.21136/CMJ.1974.101253 |
| . |
| Date available:
|
2008-06-09T14:07:50Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/101253 |
| . |
| Reference:
|
[1] N. Bourbaki: Eléments de Mathématique. II. Algèbre.Chap. 3. Algèbre multilinéaire. Hermann & Cie, Paris 1958. MR 0172888 |
| Reference:
|
[2] M. Fiedler: Bounds for Eigenvalues of Doubly Stochastic Matrices.Lin. Algebra and Appl. 5 (1972), 299-310. Zbl 0264.15004, MR 0573021, 10.1016/0024-3795(72)90011-0 |
| Reference:
|
[3] A. S. Householder: The Theory of Matrices in Numerical Analysis.Blaisdell, N. York 1964. Zbl 0161.12101, MR 0175290 |
| Reference:
|
[4] M. Marcus: Spectral Properties of Higher Derivations on Symmetry Classes of Tensors.Bull. AMS 75, 1969, 1303-1307. Zbl 0233.15020, MR 0255584, 10.1090/S0002-9904-1969-12405-5 |
| Reference:
|
[5] M. Marcus H. Minc: A Survey of Matrix Theory and Matrix Inequalities.Allyn & Bacon, Boston 1964. MR 0162808 |
| Reference:
|
[6] L. Mirsky: Symmetric Gauge Functions and Unitarily Invariant Norms.Quart. J. Math. 11 (1960), 50-59. Zbl 0105.01101, MR 0114821, 10.1093/qmath/11.1.50 |
| Reference:
|
[7] F. Salzmann: A Note on Eigenvalues of Nonnegative Matrices.Linear Algebra and Appl. 5 (1972), 329-338. Zbl 0255.15009, MR 0320034 |
| . |
