Norm Inequalities for Positive Semidefinite Matrices

Norm Inequalities for Positive Semidefinite Matrices

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摘要 This paper aims to discuss some inequalities involving unitarily invariant norms and positive semidefinite matrices. By using properties of unitarily invariant norms, we obtain two inequities involving unitarily invariant norms and positive semidefinite matrices, which generalize the result obtained by Bhatia and Kittaneh. This paper aims to discuss some inequalities involving unitarily invariant norms and positive semidefinite matrices. By using properties of unitarily invariant norms, we obtain two inequities involving unitarily invariant norms and positive semidefinite matrices, which generalize the result obtained by Bhatia and Kittaneh.

作者 ZOU Limin WU Yanqiu

机构地区 School of Mathematics and Statistics College of Mathematics and Statistics

出处《Wuhan University Journal of Natural Sciences》 CAS 2012年第5期454-456,共3页 武汉大学学报（自然科学英文版）

基金 Supported by the Scientific Research Project of Chongqing Three Gorges University(11QN-21)

关键词 unitarily invariant norms positive semidefinite matrices singular values unitarily invariant norms positive semidefinite matrices singular values

分类号 O241.1 [理学—计算数学]

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参考文献10

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Wuhan University Journal of Natural Sciences

2012年第5期

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Norm Inequalities for Positive Semidefinite Matrices

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