Pairs of shift invariant subspaces of matrices and noncanonical factorization |
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| Authors: | Joseph A Ball Israel Gohberg |
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| Institution: |
a Department of Mathematics, Virginia Polytechnic Institute and State University, Blacksburg
b School of Mathematical Sciences, Raymond and Beverly Sackler Faculty of Exact Sciences, Tel Aviv University, aviv, Israel |
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| Abstract: | This paper contains a generalization of results from BG1]. Here we classify the set of pairs of shift invariant subspaces, find the invariants and simplest representative of each class. The results are applied to analyse different types of LU factorizations with a middle factor. |
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