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Several Generalized Matrix Versions of Kantorovich Inequalities

Several Generalized Matrix Versions of Kantorovich Inequalities
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摘要 Kantorovich inequalities are old results. In this paper we give several Kantorovich-type matrix inequalities. Kantorovich inequalities are old results. In this paper we give several Kantorovich-type matrix inequalities.
出处 《Northeastern Mathematical Journal》 CSCD 2003年第4期346-350,共5页 东北数学(英文版)
基金 Foundation item: China Mathematics Tian Yuan Youth Foundation (10226024) China Postdoctoral Science Foundation (2002031180).
关键词 Kantorovich inequality matrix inequality singular value decomposition Kantorovich inequality, matrix inequality, singular value decomposition
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参考文献5

  • 1[1]Wang Songgui and Jia Zhongzhen,Matrix Inequality,Anhui Educational Press,Hefei,1994.
  • 2[2]Mond,B.and Pecaric,J.E.,A matrix version of the KyFan generalization of the kantorovich inequality,Linear and Multilinear Algebra.,46(1994),217-221.
  • 3[3]Wang Songgui and Shao Jun,Constrained Kantorovich inequalities and relative efficiency of least squares,J.Multivariate Anal.,42(1992),284-298.
  • 4[4]Wang Songgui and Zhou Shen Chong,Advanced Linear Models: Theory and Applications,Dekker,New York,1994.
  • 5[5]Liu Shuangzhe and Neudecker,H.,Several matrix Kantorovich-type inequalities,J.Math.Anal.Appl.,197(1996),23-26.

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