Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9498486 | Linear Algebra and its Applications | 2005 | 22 Pages |
Abstract
Motivated by state space realizations of transfer functions from system theory, a number of operations on Schur complements are introduced and studied. These operations are equivalence, extension, multiplication, inversion, and factorization. Together they form an algebraic framework which is of independent interest, and also useful in solving problems in analysis.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
H. Bart, I. Gohberg, M.A. Kaashoek, A.C.M. Ran,