Schur complements and state space realizations

H. Bart; I. Gohberg; M.A. Kaashoek; A.C.M. Ran

doi:10.1016/j.laa.2004.10.027

Schur complements and state space realizations

H. Bart
, I. Gohberg
, M.A. Kaashoek
, A.C.M. Ran

Mathematics

Research output: Contribution to Journal › Article › Academic › peer-review

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. © 2004 Elsevier Inc. All rights reserved.

Original language	English
Pages (from-to)	203-224
Journal	Linear Algebra and its Applications
Volume	399
DOIs	https://doi.org/10.1016/j.laa.2004.10.027
Publication status	Published - 2005

Bibliographical note

MR2151934

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

SDG 16 Peace, Justice and Strong Institutions

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10.1016/j.laa.2004.10.027

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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. {\textcopyright} 2004 Elsevier Inc. All rights reserved.",

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AU - Bart, H.

AU - Gohberg, I.

AU - Kaashoek, M.A.

AU - Ran, A.C.M.

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PY - 2005

Y1 - 2005

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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 -

Schur complements and state space realizations

Abstract

Bibliographical note

UN SDGs

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