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Linear and Multilinear Algebra Volume 59, 2011 - Issue 9
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Original Articles

Remarks on Hua’s matrix equality involving generalized inverses

Minghua Lin Department of Mathematics and Statistics, University of Regina, Regina, S4S 0A2, Canada
&
Qing-Wen Wang Department of Mathematics, Shanghai University, Shanghai 200444, P.R. ChinaCorrespondence[email protected]
Pages 1059-1067 | Received 24 May 2010, Accepted 10 Jan 2011, Published online: 15 Apr 2011

References

  • Ando , T . 1980 . Hua-Marcus inequalities . Linear Multilinear Algebra , 8 : 347 – 352 .
  • Bellman , R . 1959 . Representation theorems and inequalities for Hermitian matrices . Duke Math. J. , 26 : 485 – 490 .
  • Chern , S-S . 1956 . Review on Hua’s inequalities involving determinants . Math. Rev. , 17 : 703 (MR0075173)
  • Hua , L-K . 1955 . Inequalities involving determinants . Acta Math. Sin. , 5 : 463 – 470 . (in Chinese). See also Trans. Am. Math. Soc. Ser. II 32 (1963), pp. 265--272
  • Marcus , M . 1958 . On a determinantal inequality . Am. Math. Monthly , 65 : 266 – 268 .
  • Paige , CC , Styan , GPH , Wang , B-Y and Zhang , F . 2008 . Hua’s matrix equality and Schur complements . Int. J. Inform. Syst. Sci. , 4 : 124 – 135 .
  • Tian , Y . 2002 . Upper and lower bounds for ranks of matrix expressions using generalized inverses . Linear Algebra Appl. , 355 : 187 – 214 .
  • Xu , C , Xu , Z and Zhang , F . 2009 . Revisiting Hua-Marcus-Bellman-Ando inequalities on contractive matrices . Linear Algebra Appl. , 430 : 1499 – 1508 .

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