对偶P-分解及偏序

The Dual P-Decomposition and Partial Order

文章应用对偶奇异值分解建立对偶复矩阵的P-分解,得到该分解的若干性质,应用该分解建立D-GL二元关系,并证明该二元关系是一类偏序。

The P-decomposition of dual complex matrices is introduced by using dual singular value decomposition.Several properties of this decomposition are discussed.Based on the decomposition,a new binary relationship(the D-GL order)is established.At last,it is proved that the binary relationship is a partial order.