对称Z-矩阵的惯量以及其Schur补的若干交错性质  

ON INERTIA AND SOME INTERLACING PROPERTIES FOR SCHUR COMPLEMENT OF A SYMMETRIC Z-MATRIX

作　　者：范益政[1] 

机构地区：[1]中国科学技术大学数学系

出　　处：《计算数学》2002年第2期157-164,共8页Mathematica Numerica Sinica

基　　金：国家自然科学基金资助项目(19971086).

摘　　要：In this paper, the inertia of a symmetric Z-matrix is studied, and bounds of the number of its positive eigenvaues are obtained. Also the interlacing theorem for Schur complement of a symmetric Z-matrix is established, which can be considered as a generalization Cauchy interlacing theorem in some extent.In this paper, the inertia of a symmetric Z-matrix is studied, and bounds of the number of its positive eigenvaues are obtained. Also the interlacing theorem for Schur complement of a symmetric Z-matrix is established, which can be considered as a generalization Cauchy interlacing theorem in some extent.

关 键 词：对称Z-矩阵 惯量 Cauchy交错定理 SCHUR补 实矩阵 

分 类 号：O151.21[理学—数学]