| Block diagonal dominance of matrix and spectral inclusion regions |
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| 引用本文： | 逢明贤. Block diagonal dominance of matrix and spectral inclusion regions[J]. 数学研究及应用, 1986, 6(1): 139-140 |
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| 作者姓名： | 逢明贤 |
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| 作者单位： | 吉林师大学院 |
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| 摘 要： | Suppose that comlex matrix A or order n is partitioned as where the diagonal submatrices A_(ⅱ) are square of order n_i(1≤i≤N) .If each A_(ⅱ)is nonsingular and satisfies sum from (j=1 j≠i) to N(‖A_(ij)~(-1)A_(ij)‖≤1),1≤i≤N. thon A is called quasi-block diagonally domfnant. Specially, if strictly inequality in(2) is valid for all 1≤i≤N then A is called quasi-block strictly diagonally dominant. If strict inequality in (2) is valid for at least one i (1≤i≤N) and
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| 收稿时间： | 1985-03-22 |
Block diagonal dominance of matrix and spectral inclusion regions |
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| Pang Mingxian. Block diagonal dominance of matrix and spectral inclusion regions[J]. Journal of Mathematical Research with Applications, 1986, 6(1): 139-140 |
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| Authors: | Pang Mingxian |
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| Affiliation: | Jilin Normal Institue |
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| Abstract: | |
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