Geodesic
Diagonal blocks of two mutually inverse positive definite block matrices
Czechoslovak Mathematical Journal, Tome 47 (1997) no. 1, pp. 127-134 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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Classification : 15A48, 15A57 
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Fiedler, Miroslav; Pták, Vlastimil. Diagonal blocks of two mutually inverse positive definite block matrices. Czechoslovak Mathematical Journal, Tome 47 (1997) no. 1, pp. 127-134. http://geodesic.mathdoc.fr/item/CMJ_1997_47_1_a9/

[1] M. Fiedler: Über eine Ungleichung für positiv definite Matrizen. Math. Nachrichten 23 (1961), 197–199. | MR

[2] M. Fiedler: Relations between the diagonal elements of two mutually inverse positive definite matrices. Czechoslovak Math. J. 14(89) (1964), 39–51. | MR | Zbl

[3] M. Fiedler and V. Pták: A new positive definite geometric mean of two positive definite matrices. Linear Algebra Appl. 251 (1997), 1–20. | MR