Sub-Congruence and Sub-Diagonalization of Sub-Hermite Matrices
YU Jiangming1,XIE Qingming21Dept. of Computer, Shaoguan University, Shaoguan Guangdong 512005, China;2Dept. of Mathematics, Xiangtan University, Xiangtan Hunan 411105, China
The concept of subcongruence of matrix is put out, and some properties of subHermite and simultaneous subdiagonalization of two subHermite matrices by subcongruence transformation are discussed. In addition, several results, such as subspectral factorization theorem, law of subinertia, factorization theorem of subHermite matrix of real similarity diagonalizable matrices, etc. are given.