Reducing subspaces : definitions, properties and algorithms

Van Dooren, Paul
(1983) Matrix Pencils — ISBN: [3-540-11983-3], p. 58-73, published

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  • Van Dooren, PaulUCLouvain
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Abstract
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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Van Dooren, P. (1983). Reducing subspaces : definitions, properties and algorithms. In B. Kagstrom and A. Ruhe (ed.), Matrix Pencils (p. p. 58-73). Springer. https://doi.org/10.1007/BFb0062094