A matrix trace inequality for products of hermitian matrices
A matrix trace inequality for products of hermitian matrices
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Hermitian 矩阵乘积的矩阵迹不等式
DOI：
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发表时间：
1999
期刊：
影响因子：
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通讯作者：
D. Chang
中科院分区：
文献类型：
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作者：
D. Chang
本文建立了Hermite矩阵A与B乘积的矩阵迹不等式：tr AB 2 k ≤ tr A 2 k B 2 k，其中k为整数.上述不等式也部分地回答了Bellman [在“Proceedings of the 2nd International Conference on General Inequalities”（E. F. Beckenbach，编），pp. 89-90，Birkhauser，巴塞尔，1980]。
Abstract In this note, the following matrix trace inequality for products of Hermitian matrices A and B, tr AB 2 k ≤ tr A 2 k B 2 k , is established, where k is an integer. The above inequality also partly answers a conjecture in Bellman [in “Proceedings of the 2nd International Conference on General Inequalities” (E. F. Beckenbach, Ed.), pp. 89–90, Birkhauser, Basel, 1980].