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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Main Author: Van Dooren, Paul
Format: Book Chapter
Language:English
Subjects:
Full Column Rank
Minimal Index
Regular Part
Singular Case
Unique Pair
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description 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.
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source SpringerLink Books Lecture Notes In Mathematics Archive; Springer Nature - Springer Lecture Notes in Mathematics eBooks; SpringerLINK Lecture Notes in Mathematics Archive (Through 1996)
subjects Full Column Rank
Minimal Index
Regular Part
Singular Case
Unique Pair
title Reducing subspaces: Definitions, properties and algorithms
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