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Linear Algebra and its Applications
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Linear Algebra and its Applications
Article . 2011
License: Elsevier Non-Commercial
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Linear Algebra and its Applications
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Lur’e equations and even matrix pencils

Lur'e equations and even matrix pencils
Authors: Reis, Timo;

Lur’e equations and even matrix pencils

Abstract

The set of solutions of Lur'e equations in terms of deflating subspaces of even matrix pencils is characterized. It is shown that there exist special extremal solutions in terms of definiteness and a procedure to construct these solutions via deflating subspaces of even matrix pencils is formulated.

Keywords

Spectral factorization, Numerical Analysis, Deflating subspaces, Algebra and Number Theory, Matrix equations and identities, even matrix pencils, Optimal control, optimal control, extremal solutions, deflating subspaces, Discrete Mathematics and Combinatorics, Even matrix pencils, Geometry and Topology, spectral factorization, Lur’e equations, Matrix pencils, Riccati equations, Lur'e equations

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    popularity
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    influence
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
29
Top 10%
Top 10%
Top 10%
hybrid