实半正定矩阵秩约束锥的若干性质

Some Properties of the Real Semi-definite Matrices Constrainted Cone

讨论了实半正定矩阵锥集合S(r)={A∈S^(n×n)|A≥0,rank(A)≤r},得到了当r取不同数值时的若干性质,并对该集合的结构与性质进行了研究,得到了若干基本结论。最后给出例子验证了结论。

Some properties of the real semi-definite symmetric set S(r)={A∈S^n×n|A≥0,rank(A)≤r}are discussed when r varies,as well as the structure of this set.Several conclusions are drawn and example was given to testify these conclusions.