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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
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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.
作者 范益政
出处 《计算数学》 CSCD 北大核心 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).
关键词 对称Z-矩阵 惯量 Cauchy交错定理 SCHUR补 实矩阵 Z-matrix, inertia, Cauchy interlacing theorem, Schur complement
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