| 复矩阵和四元数矩阵关于特征值与奇异值的若干不等式 |
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| 引用本文： | 郑浩,张传林,张月芹. 复矩阵和四元数矩阵关于特征值与奇异值的若干不等式[J]. 海南大学学报(自然科学版), 2011, 29(3): 199-204,208 |
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| 作者姓名： | 郑浩 张传林 张月芹 |
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| 作者单位： | 暨南大学数学系,广东 广州,510632 |
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| 基金项目： | 国家自然科学基金项目(61070165); 广东省科技计划项目(2009B01080030) |
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| 摘 要： | 分别利用Frobenius范数和广义F-范数对复矩阵及四元数矩阵和与差的奇异值的上界与下界进行了估计,并给出了复矩阵和四元数矩阵特征值与奇异值的若干不等式.
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| 关 键 词： | 特征值 奇异值 自共轭四元数矩阵 Frobenius范数 广义F-范数 |
Inequalities about Eigenvalues and Singular Values of Complex Matrix and Quaternion Matrix |
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| ZHENG Hao,ZHANG Chuan-lin,ZHANG Yue-qin. Inequalities about Eigenvalues and Singular Values of Complex Matrix and Quaternion Matrix[J]. Natural Science Journal of Hainan University, 2011, 29(3): 199-204,208 |
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| Authors: | ZHENG Hao ZHANG Chuan-lin ZHANG Yue-qin |
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| Affiliation: | ZHENG Hao,ZHANG Chuan-lin,ZHANG Yue-qin(Department of Mathematics,Jinan University,Guangzhou 510632,China) |
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| Abstract: | Frobenius norm and generalized F-norm were used to estimate the lower bound and upper bound of singular values of complex matrix sum and difference and that of quaternion matrix respectively,and several inequalities of eigenvalues and singular values were obtained. |
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| Keywords: | eigenvalues singular values self-conjugate quaternion matrix Frobenius-norm generalized F-norm |
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