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A minimum principle and estimates of the eigenvalues for schur complements positive semidefinite hermitian matrices

✍ Scribed by Jianzhou Liu; Li Zhu


Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
536 KB
Volume
265
Category
Article
ISSN
0024-3795

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✦ Synopsis


We give a minimum principle for Sehur complements of positive definite Herrnitian matrices. Further, we obtain some inequalities for the eigenvalues of Schur complements of products and sums of positive definite Hermitian matrices.