Voir la notice de l'article provenant de la source Czech Digital Mathematics Library
MR ZblTöllis, Theodore. On means of positive definite matrices. Czechoslovak Mathematical Journal, Tome 37 (1987) no. 4, pp. 628-641. doi: 10.21136/CMJ.1987.102190
@article{10_21136_CMJ_1987_102190,
author = {T\"ollis, Theodore},
title = {On means of positive definite matrices},
journal = {Czechoslovak Mathematical Journal},
pages = {628--641},
year = {1987},
volume = {37},
number = {4},
doi = {10.21136/CMJ.1987.102190},
mrnumber = {913995},
zbl = {0644.15008},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.21136/CMJ.1987.102190/}
}
[1] T. Ando: Concavity of Certain Maps on Positive Definite Matrices and Apphcations to Hadamard products. Linear Algebra Appl. 26 (1979) 203-241. | DOI | MR
[2] E. F. Beckenbach, R. Bellman: Inequalities. Springer-Verlag 1965. | MR | Zbl
[3] Achim Clausing: Kantorovich-type inequalities. American Mathematical Monthly, 89 (1982) 314-330. | DOI | MR
[4] K. H. Hardy J. E. Littlewood, and K. Pólya: Inequalities. Cambridge University Press 1952. | MR
[5] Erwin Lutwak: On Power Means of Positive Quadratic Forms. Linear Algebra Appl. 57 (1984) 13-19. | MR
[6] I. Schur: Bemerkungen zur Theorie der beschränkten Bilinearformen mit unendlich vielen Veränderlichen. J. Reine Angew. Math. 140 (1911) 1 - 28. | DOI
[7] Czeslaw Stepniak: Ordering of Nonnegative Definite Matrices with Applications to Comparison of Linear Models. Linear Algebra and Appl. 70 (1985) 67-71. | MR
[8] K. P. H. Styan: Hadamard products and multivariate statistical analysis. Linear Algebra and Appl. 6 (1973) 217-240. | DOI | MR | Zbl
[9] Theodore Tollis: An inequality involving determinants of positive definite hermitian matrices. Abstracts of AMS, January 1985.
Cité par Sources :