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关于Patel-Toda迹不等式的一个推广(英文)

A Generalization of Trace Inequality of Patel-Toda
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摘要 王伯英等[Lin.Alg.Appl.,293(1999):39-49】将半正定Hermitian矩阵的Patel-Toda迹不等式V从迹推广到特征值。我们证明了这个结粜在比“半正定”更弱的条件下也是成立的。 Bo-ying Wang, ect(1999) generalized the Patel-Toda inequality V from trace to eigenvalue, which is concerning of the trace of the positive definite Hermitian matrix. We prove that the conclusion holds in the more weaker condition than that of "positive seine-definite property".
出处 《工程数学学报》 CSCD 北大核心 2006年第5期905-908,共4页 Chinese Journal of Engineering Mathematics
基金 The science foundation of educational department,Fujian(JA03159,JA04164):and the scientific research"the tenth five"layout item of the educational department in Jilin,2004
关键词 HERMITIAN矩阵 特征值 偏序 不等式 hermitian matrix trace eigenvalue partial order inequality
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参考文献7

  • 1Rajnkiant Patel, et al. Trace inequalities involving hermitian matrices[J]. Linear Algbra and its Application,1979,23:13-20
  • 2Wang Bo-ying, et al. Some inequalities for sum and product of positive semi-definite matrices[J]. Linear Algbra and its Application, 1999,293:39-49
  • 3Cao Chongguang. Some inequality on trace of self-conjugate quaternions matrices[J]. Journal of Mathematics(PRC), 1988,8(3):313-314
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  • 6Zhang Fuzhen. Matrix theory: Basic Results and Techniques[M]. New York: Springer, 1999
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