Geodesic
Characterization of P-property for some Z-transformations on positive semidefinite cone
The electronic journal of linear algebra, Tome 22 (2011), pp. 1020-1030.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: The P -property of the following two Z-transformations with respect to the positive semidefinite cone is characterized: (i) I - S, where S : S n$\times n \rightarrow S$ n$\times n$ is a nilpotent linear transformation, (ii) I - L - 1 A, where L Ais the Lyapunov transformation defined on S n$\times n$ by L $A(X) = AX + X$ A T.(Here S n$\times n$ denotes the space of all symmetric n $\times n$ matrices and I is the identity transformation.)
Classification : 90C33, 17C55
Keywords: P -property, Stein-type transformations, Lyapunov transformations 
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     author = {Balaji, R.},
     title = {Characterization of {P-property} for some {Z-transformations} on positive semidefinite cone},
     journal = {The electronic journal of linear algebra},
     pages = {1020--1030},
     publisher = {mathdoc},
     volume = {22},
     year = {2011},
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     url = {http://geodesic.mathdoc.fr/item/ELA_2011__22__a11/}
}
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Balaji, R. Characterization of P-property for some Z-transformations on positive semidefinite cone. The electronic journal of linear algebra, Tome 22 (2011), pp. 1020-1030. http://geodesic.mathdoc.fr/item/ELA_2011__22__a11/