Reducing subspaces: Definitions, properties and algorithms

In this paper we introduce the new concept of reducing subspaces of a singular pencil, which extends the notion of deflating subspaces to the singular case. We briefly discuss uniqueness of such subspaces and we give an algorithm for computing them. The algorithm also gives the Kronecker canonical f...

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Bibliographic Details
Main Author: Van Dooren, Paul
Format: Book Chapter
Language:English
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Regular Part
Singular Case
Unique Pair
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Summary:In this paper we introduce the new concept of reducing subspaces of a singular pencil, which extends the notion of deflating subspaces to the singular case. We briefly discuss uniqueness of such subspaces and we give an algorithm for computing them. The algorithm also gives the Kronecker canonical form of the singular pencil.
ISSN:0075-8434
1617-9692
DOI:10.1007/BFb0062094