次Hermite矩阵的次相合与次对角化

Sub-Congruence and Sub-Diagonalization of Sub-Hermite Matrices

提出了次相合的概念,讨论了次Hermite矩阵次相合的性质以及次Hermite矩阵偶在次相合变换下的次对角化,得到了次Hermite矩阵的次谱分解定理、次惯性定理及可实对角化矩阵的次Hermite矩阵的分解定理等一系列结果.

The concept of subcongruence of matrix is put out, and some properties of subHermite and simultaneous subdiagonalization of two subHermite matrices by subcongruence transformation are discussed. In addition, several results, such as subspectral factorization theorem, law of subinertia, factorization theorem of subHermite matrix of real similarity diagonalizable matrices, etc. are given.