Diagonal blocks of two mutually inverse positive definite block matrices
Miroslav Fiedler; Vlastimil Pták
Czechoslovak Mathematical Journal (1997)
- Volume: 47, Issue: 1, page 127-134
- ISSN: 0011-4642
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topFiedler, Miroslav, and Pták, Vlastimil. "Diagonal blocks of two mutually inverse positive definite block matrices." Czechoslovak Mathematical Journal 47.1 (1997): 127-134. <http://eudml.org/doc/30352>.
@article{Fiedler1997,
author = {Fiedler, Miroslav, Pták, Vlastimil},
journal = {Czechoslovak Mathematical Journal},
keywords = {positive definite matrix; completion problem; block matrix; geometric mean; mutually inverse positive definite matrices},
language = {eng},
number = {1},
pages = {127-134},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Diagonal blocks of two mutually inverse positive definite block matrices},
url = {http://eudml.org/doc/30352},
volume = {47},
year = {1997},
}
TY - JOUR
AU - Fiedler, Miroslav
AU - Pták, Vlastimil
TI - Diagonal blocks of two mutually inverse positive definite block matrices
JO - Czechoslovak Mathematical Journal
PY - 1997
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 47
IS - 1
SP - 127
EP - 134
LA - eng
KW - positive definite matrix; completion problem; block matrix; geometric mean; mutually inverse positive definite matrices
UR - http://eudml.org/doc/30352
ER -
References
top- Über eine Ungleichung für positiv definite Matrizen, Math. Nachrichten 23 (1961), 197–199. (1961) MR0139617
- Relations between the diagonal elements of two mutually inverse positive definite matrices, Czechoslovak Math. J. 14(89) (1964), 39–51. (1964) Zbl0158.28005MR0166206
- A new positive definite geometric mean of two positive definite matrices, Linear Algebra Appl. 251 (1997), 1–20. (1997) MR1421263
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