Schur complements and state space realizations

Bart, Harm; Gohberg, I.; Kaashoek, Johan; Ran, Liang

doi:10.1016/j.laa.2004.10.027

H. Bart (Harm), I. Gohberg (I.), J.F. Kaashoek (Johan) and L. Ran (Liang)

2005-04-01

Schur complements and state space realizations

Linear Algebra and Its Applications , Volume 399 - Issue 1-3 p. 203- 224

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.

Additional Metadata
Keywords	Equivalence, Extension, Factorization, Realization, Schur complement, Transfer function
Persistent URL	doi.org/10.1016/j.laa.2004.10.027, hdl.handle.net/1765/61927
Journal	Linear Algebra and Its Applications
Organisation	Erasmus School of Economics
Citation APA Style AAA Style APA Style Cell Style Chicago Style Harvard Style IEEE Style MLA Style Nature Style Vancouver Style American-Institute-of-Physics Style Council-of-Science-Editors Style BibTex Format Endnote Format RIS Format CSL Format DOIs only Format	Bart, H., Gohberg, I., Kaashoek, J., & Ran, L. (2005). Schur complements and state space realizations. In Linear Algebra and Its Applications (Vol. 399, pp. 203–224). doi:10.1016/j.laa.2004.10.027

Schur complements and state space realizations

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