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关于酉不变范数不等式的一个注记 被引量:1

A Note of Inequalities for Unitarily Invariant Norms
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摘要 本文研究酉不变范数不等式的问题.利用函数的凸性,得到关于矩阵酉不变范数的几个不等式,理论验证,证明了新不等式优于相关文献中的结果. Some inequalities of unitarily invariant norms are given by using the convexity of function. Theoretical analysis shows that new inequalities are the refinement of the result in the related literature.
作者 刘新 杨晓英 LIU Xin;YANG Xiaoying(Department of Basic Education, Sichuan Information Technology College, Guangyuan 628017, China)
出处 《应用数学》 CSCD 北大核心 2018年第2期417-421,共5页 Mathematica Applicata
基金 四川省教育厅自然科学基金(15ZB0465)
关键词 酉不变范数 凸函数 半正定矩阵 Unitarily invariant norm Convex function Positive semidefinite matrix
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  • 1BHATIA R,DAVIS C. More matrix forms of the arithmetic-geometric mean inequality[J].SIAM Journal on Matrix Analysis and Applications,1993.132-136.
  • 2KITTANEH F,MANASRAH Y. Improved Young and Heinz inequalities for matrices[J].Journal of Mathematical Analysis and Applications,2010,(1):262-269.
  • 3BHATIAR. Matrix Analysis[M].Berlin:springer-verlag,1997.
  • 4KITTANEH F. On the convexity of the Heinz means[J].Integral Equations and Operator theory,2010.519-527.
  • 5WANG S,ZOU L,JIANG Y. Some inequalities for unitarily invariant norms of matrices[J].Journal of Inequalities and Applications,2011.1-7.
  • 6Bhatia R.Matrix Analysis[M].New York:Springer-Verlag,1997:91-95.
  • 7Bhatia R,Davis C.More matrix forms of the arithmetic-geometric mean inequality[J].SIAM Journal on Matrix Analysis and Applications,1993,14(1):132-136.
  • 8Kittaneh F,Manasrah Y.Improved Young and Heinz inequalities for matrices[J].Journal of Mathematical Analysis and Applications,2010,361(9):262-269.
  • 9ZOU Limin,JIANG Youyi.Inequalities for unitarily invariant norms[J].Journal of Mathematical Inequalities,2012,6(2):279-287.
  • 10Bhatia R,Kittaneh F.Notes on matrix arithmetic-geometric mean inequalities[J].Linear Algebra and Its Applications,2000,308(1):203-211.

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