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Schur complements and state space realizations
- Source :
-
Linear Algebra & its Applications . Apr2005, Vol. 399, p203-224. 22p. - Publication Year :
- 2005
-
Abstract
- 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. [Copyright &y& Elsevier]
- Subjects :
- *ALGEBRAIC spaces
*SYSTEMS theory
*NUMERICAL analysis
*ALGEBRA
Subjects
Details
- Language :
- English
- ISSN :
- 00243795
- Volume :
- 399
- Database :
- Academic Search Index
- Journal :
- Linear Algebra & its Applications
- Publication Type :
- Academic Journal
- Accession number :
- 16741846
- Full Text :
- https://doi.org/10.1016/j.laa.2004.10.027