Some Properties for Sub-Lwner Partial Order of the Subdefinite Complex Matrix

Zheng Jian-qing · Journal of Southwest China Normal University · 2010

In this paper,the sub-Lwner partial order for the subdefinite complex matrix is studied.Some properties for its sub-Schur complement of the sub-Lwner partial order are discussed.By using these subpartial order,a few necessary and sufficient conditions that determine the subdefinite complex matrices of higher order by the subdefinite complex matrices of lower order are given.

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