A new positive definite geometric mean of two positive definite matrices

Linear Algebra and Its Applications

Volumn 251, Issue , 1997, Pages 1-20

  Fiedler, Miroslav ^a   Pták, Vlastimil ^b  

^a INSTITUTE OF COMPUTER SCIENCE   (Czech Republic)

^b INSTITUTE OF MATHEMATICS   (Czech Republic)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0039176122     PISSN: 00243795     EISSN: None     Source Type: Journal    
DOI: 10.1016/0024-3795(95)00540-4     Document Type: Article

References (6)

1. T. Ando, Topics on Operator Inequalities, Research Inst. of Applied Electricity, Hokaido Univ., Sapporo, 1978.
2. A. Ben-Israel and T. N. E. Greville, Generalized Inverses: Theory and Applications, Wiley, New York, 1974.
3. M. Fiedler and V. Pták, Diagonal blocks of two mutually inverse positive definite block matrices, Czechoslovak Math. J., to appear.
4. C. Fitzgerald and R. Horn, On the structure of Hermitian-symmetric inequalities, J. London Math. Soc. 15:419-430 (1977).
5. A. Horn, On the eigenvalues of a matrix with prescribed singular values, Proc. Amer. Math. Soc. 5:4-7 (1954).
6. H. Weyl, Inequalities between two kinds of eigenvalues of a linear transformation, Proc. Nat. Acad. Sci. U.S.A. 35:408-411 (1949).