| 对称Z-矩阵的惯量以及其Schur补的若干交错性质 |
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| 引用本文： | 范益政.对称Z-矩阵的惯量以及其Schur补的若干交错性质[J].计算数学,2002,24(2):157-164. |
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| 作者姓名： | 范益政 |
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| 作者单位： | 中国科学技术大学数学系,合肥,230026;安徽大学数学系,合肥,230039 |
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| 基金项目： | 国家自然科学基金资助项目（19971086）． |
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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 eigenvalues 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.
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| 关 键 词： | 对称Z－矩阵 惯量 Cauchy交错定理 Schur补 实矩阵 |
| 修稿时间： | 2000年3月26日 |
ON INERTIA AND SOME INTERLACING PROPERTIES FOR SCHUR COMPLEMENT OF A SYMMETRIC Z-MATRIX |
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| Fan Yizheng.ON INERTIA AND SOME INTERLACING PROPERTIES FOR SCHUR COMPLEMENT OF A SYMMETRIC Z-MATRIX[J].Mathematica Numerica Sinica,2002,24(2):157-164. |
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| Authors: | Fan Yizheng |
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| Affiliation: | Fan Yizheng (Department of Mathematics University of Science and Technology of China, Hofei, 230026) (Department of Mathematics Anhui University, Hefei, 230039) |
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| Abstract: | 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. |
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| Keywords: | Z-matrix inertia Cauchy interlacing theorem Schur complement |
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