| Title:
|
On means of positive definite matrices (English) |
| Author:
|
Töllis, Theodore |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
37 |
| Issue:
|
4 |
| Year:
|
1987 |
| Pages:
|
628-641 |
| . |
| Category:
|
math |
| . |
| MSC:
|
15A48 |
| MSC:
|
15A60 |
| idZBL:
|
Zbl 0644.15008 |
| idMR:
|
MR913995 |
| DOI:
|
10.21136/CMJ.1987.102190 |
| . |
| Date available:
|
2008-06-09T15:18:39Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/102190 |
| . |
| Reference:
|
[1] T. Ando: Concavity of Certain Maps on Positive Definite Matrices and Apphcations to Hadamard products.Linear Algebra Appl. 26 (1979) 203-241. MR 0535686, 10.1016/0024-3795(79)90179-4 |
| Reference:
|
[2] E. F. Beckenbach, R. Bellman: Inequalities.Springer-Verlag 1965. Zbl 0186.09605, MR 0192009 |
| Reference:
|
[3] Achim Clausing: Kantorovich-type inequalities.American Mathematical Monthly, 89 (1982) 314-330. MR 0653510, 10.1080/00029890.1982.11995446 |
| Reference:
|
[4] K. H. Hardy J. E. Littlewood, and K. Pólya: Inequalities.Cambridge University Press 1952. MR 0046395 |
| Reference:
|
[5] Erwin Lutwak: On Power Means of Positive Quadratic Forms.Linear Algebra Appl. 57 (1984) 13-19. MR 0729257 |
| Reference:
|
[6] I. Schur: Bemerkungen zur Theorie der beschränkten Bilinearformen mit unendlich vielen Veränderlichen.J. Reine Angew. Math. 140 (1911) 1 - 28. 10.1515/crll.1911.140.1 |
| Reference:
|
[7] Czeslaw Stepniak: Ordering of Nonnegative Definite Matrices with Applications to Comparison of Linear Models.Linear Algebra and Appl. 70 (1985) 67-71. MR 0808532 |
| Reference:
|
[8] K. P. H. Styan: Hadamard products and multivariate statistical analysis.Linear Algebra and Appl. 6 (1973) 217-240. Zbl 0255.15002, MR 0318177, 10.1016/0024-3795(73)90023-2 |
| Reference:
|
[9] Theodore Tollis: An inequality involving determinants of positive definite hermitian matrices.Abstracts of AMS, January 1985. |
| . |
