| ON THE RAYLEIGH QUOTIENT FOR SINGULAR VALUES |
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| 作者姓名： | Xiaoshan Chen Wen Li |
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| 作者单位： | School of Mathematical Sciences, South China Normal University, Guangzhou 510631, China |
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| 基金项目： | This work was supported by NNSF of China （10671077） and NSF of Guangdong Province （031496 and 06025061）. |
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| 摘 要： | In this paper, the theoretical analysis for the Rayleigh quotient matrix is studied, some results of the Rayleigh quotient （matrix） of Hermitian matrices are extended to those for arbitrary matrix on one hand. On the other hand, some unitarily invariant norm bounds for singular values are presented for Rayleigh quotient matrices. Our results improve the existing bounds.
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| 关 键 词： | 雷利商 单数 角度 矩阵 |
| 修稿时间： | 2005-12-15 |
ON THE RAYLEIGH QUOTIENT FOR SINGULAR VALUES |
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| Xiaoshan Chen Wen Li.ON THE RAYLEIGH QUOTIENT FOR SINGULAR VALUES[J].Journal of Computational Mathematics,2007,25(5):512-521. |
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| Abstract: | |
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| Keywords: | The singular value Rayleigh quotient Canonical angle matrix |
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