# On means of positive definite matrices

Czechoslovak Mathematical Journal (1987)

- Volume: 37, Issue: 4, page 628-641
- ISSN: 0011-4642

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topTöllis, Theodore. "On means of positive definite matrices." Czechoslovak Mathematical Journal 37.4 (1987): 628-641. <http://eudml.org/doc/13673>.

@article{Töllis1987,

author = {Töllis, Theodore},

journal = {Czechoslovak Mathematical Journal},

keywords = {power mean; positive definite matrices; Hadamard product; inequalities; geometric and arithmetic means; comparison of matrices; linear models},

language = {eng},

number = {4},

pages = {628-641},

publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},

title = {On means of positive definite matrices},

url = {http://eudml.org/doc/13673},

volume = {37},

year = {1987},

}

TY - JOUR

AU - Töllis, Theodore

TI - On means of positive definite matrices

JO - Czechoslovak Mathematical Journal

PY - 1987

PB - Institute of Mathematics, Academy of Sciences of the Czech Republic

VL - 37

IS - 4

SP - 628

EP - 641

LA - eng

KW - power mean; positive definite matrices; Hadamard product; inequalities; geometric and arithmetic means; comparison of matrices; linear models

UR - http://eudml.org/doc/13673

ER -

## References

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- E. F. Beckenbach, R. Bellman, Inequalities, Springer-Verlag 1965. (1965) Zbl0186.09605MR0192009
- Achim Clausing, 10.2307/2321725, American Mathematical Monthly, 89 (1982) 314-330. (1982) Zbl0491.26009MR0653510DOI10.2307/2321725
- K. H. Hardy J. E. Littlewood, and K. Pólya, Inequalities, Cambridge University Press 1952. (1952) MR0046395
- Erwin Lutwak, On Power Means of Positive Quadratic Forms, Linear Algebra Appl. 57 (1984) 13-19. (1984) Zbl0529.15012MR0729257
- I. Schur, Bemerkungen zur Theorie der beschränkten Bilinearformen mit unendlich vielen Veränderlichen, J. Reine Angew. Math. 140 (1911) 1 - 28. (1911) Zbl42.0367.01
- Czeslaw Stepniak, Ordering of Nonnegative Definite Matrices with Applications to Comparison of Linear Models, Linear Algebra and Appl. 70 (1985) 67-71. (1985) Zbl0578.15019MR0808532
- K. P. H. Styan, 10.1016/0024-3795(73)90023-2, Linear Algebra and Appl. 6 (1973) 217-240. (1973) Zbl0255.15002MR0318177DOI10.1016/0024-3795(73)90023-2
- Theodore Tollis, An inequality involving determinants of positive definite hermitian matrices, Abstracts of AMS, January 1985. (1985)

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