Generalized Schur complements and P-complementable operators
نویسندگان
چکیده
منابع مشابه
Some inequalities on generalized Schur complements
This paper presents some inequalities on generalized Schur complements. Let A be an n n (Hermitian) positive semide®nite matrix. Denote by A=a the generalized Schur complement of a principal submatrix indexed by a set a in A. Let A be the Moore± Penrose inverse of A and k A be the eigenvalue vector of A. The main results of this paper are: 1. k A a0P k A=a, where a0 is the complement o...
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ژورنال
عنوان ژورنال: Linear Algebra and its Applications
سال: 2004
ISSN: 0024-3795
DOI: 10.1016/j.laa.2003.07.010