Journal of East China Normal University(Natural Sc ›› 2014, Vol. 2014 ›› Issue (6): 35-38.doi: 10.3969/j.issn.1000-5641.2014.06.006
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DU Cui-Zhen
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Abstract: We gave a new proof of the generalized Craig-Sakamoto theorem, which asserts that two normal matrices A and B satisfy det(I − aA − bB) = det(I − aA)det(I − bB) for all complex numbers a and b if and only if AB = O.
Key words: eigenvalues, singular values, normal matrices, quadratic forms
CLC Number:
O151.21
DU Cui-Zhen. A new proof of the generalized Craig-Sakamoto theorem[J]. Journal of East China Normal University(Natural Sc, 2014, 2014(6): 35-38.
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URL: https://xblk.ecnu.edu.cn/EN/10.3969/j.issn.1000-5641.2014.06.006
https://xblk.ecnu.edu.cn/EN/Y2014/V2014/I6/35