Some complementarity properties of Z and Lyapunov-like transformations on symmetric cones
نویسندگان
چکیده
This article deals with some complementarity properties of Z and Lyapunov-like transformations on a symmetric cone. Similar to the results proved for Lyapunov and Stein transformations on Herm(Rn×n), we show that for Lyapunov-like transformations, the P and S properties are equivalent, and that for a Ztransformation, the S-property implies the P-property of a transformation that is (quadratically) similar to the given transformation. In addition, we show that a Lyapunov-like transformation is the sum of a Lyapunov transformation and a derivation.
منابع مشابه
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تاریخ انتشار 2010