华东师范大学学报(自然科学版) ›› 2012, Vol. 2012 ›› Issue (4): 12-17.

• 数学 • 上一篇    下一篇

矩阵的\,Young\,型不等式

胡兴凯   

  1. 昆明理工大学~~理学院, 云南~~昆明 650500
  • 收稿日期:2011-10-01 修回日期:2012-01-01 出版日期:2012-07-25 发布日期:2014-12-15

Young type inequalities for matrices

HU Xing-kai   

  1. Faculty of Science, Kunming University of Science and Technology, Kunming 650500, Yunnan, China
  • Received:2011-10-01 Revised:2012-01-01 Online:2012-07-25 Published:2014-12-15

摘要: 首先给出了若干标量\,Young\,型不等式. 然后在此基础上, 建立了相应的矩阵\,Young\,型不等式.

关键词: 酉不变范数, Young\, 型不等式, 半正定矩阵, 奇异值

Abstract: First, some Young type inequalities for scalars were given. Then on the base of them, corresponding Young type inequalities for matrices were established.

Key words: unitarily invariant norms, Young type inequality, positive semidefinite matrices, singular values

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