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Some Geometrical Properties of Stable Matrix Families

YU Xuegang\ HUANG Lin (Dept.of Mechanics & Engineering Science,Peking Uni versity,Beijing\ 100871)  
In this paper,we have discussed the convex directions of Hurwitz and Schur matic es,then the necessary and sufficient conditions are obtained.Using these results ,the continuous connection of two D\|matices problem is considered,when the D se t is convex,it is shown that the set which is consisted of D\|matrices is connec ted.Then we also discuss the analogical questions in the case of polynomials.
【Fund】: 国家攀登计划;自然科学基金
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