A minimum principle and estimates of the Eigenvalues for Schur complements positive semidefinite Hermitian matrices

Linear Algebra and Its Applications

Volumn 265, Issue 1-3, 1997, Pages 123-145

  Jianzhou, Liu ^a   Li, Zhu ^a  

^a XIANGTAN UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 21744446425     PISSN: 00243795     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0024-3795(96)00595-2     Document Type: Article

References (7)

1. Boying Wang and Fuzhen Zhang, Some inequalities for the eigenvalues of the product of positive semidefinite Hermitian matrices, Linear Algebra Appl. 160:113-118 (1992).
2. V. Lidskii, The proper values of the sum and product of symmetric matrices (in Russian), Dokl. Akad. Nauk SSSR N.S. 75:769-772 (1950).
3. A. Oppenheim, Inequalities connected with definite Hermitian forms, II, Amer. Math. Monthly 61:463-466 (1994).
4. Roger A. Horn and Charles R. Johnson, Matrix Analysis, Cambridge, U.P., New York, 1991.
5. Ronald L. Smith, Some interlacing properties of the Schur complement of a Hermitian matrix, Linear Algebra Appl. 177:137-144 (1992).
6. A. W. Marshall and I. Olkin, Inequalities: Majorization and Its Applications, Academic, 1979.
7. E. F. Beckenbach and R. Bellman, Inequalities, Springer-Verlag, New York, 1961.