TY - JOUR
T1 - Schur complements and state space realizations
AU - Bart, H.
AU - Gohberg, I.
AU - Kaashoek, M.A.
AU - Ran, A.C.M.
N1 - MR2151934
PY - 2005
Y1 - 2005
N2 - 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. © 2004 Elsevier Inc. All rights reserved.
AB - 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. © 2004 Elsevier Inc. All rights reserved.
U2 - 10.1016/j.laa.2004.10.027
DO - 10.1016/j.laa.2004.10.027
M3 - Article
SN - 0024-3795
VL - 399
SP - 203
EP - 224
JO - Linear Algebra and its Applications
JF - Linear Algebra and its Applications
ER -
