Schur complements and state space realizations

被引：18
|
作者：
Bart, H
Gohberg, I
Kaashoek, MA
Ran, ACM
机构：
[1] Erasmus Univ, Inst Econometr, NL-3000 DR Rotterdam, Netherlands
[2] Tel Aviv Univ, Sch Math Sci, Raymond & Beverly Sackler Fac Exact Sci, Ramat Aviv, Israel
[3] Vrije Univ Amsterdam, Dept Math, FEW, NL-1081 HV Amsterdam, Netherlands
来源：
LINEAR ALGEBRA AND ITS APPLICATIONS | 2005年 / 399卷
关键词：
equivalence; extension; factorization; realization; Schur complement; transfer function;
D O I：
10.1016/j.laa.2004.10.027
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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. (c) 2004 Elsevier Inc. All rights reserved.
引用
收藏
页码：203 / 224
页数：22
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