Groups of banded matrices with banded inverses
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Strang_Groups of.pdf
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95.54 KB
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Author(s)
Strang, Gilbert
Date Issued
April 2011
Journal
Proceedings of the American Mathematical Society
Publisher
American Mathematical Society
Citation
Strang, Gilbert. “Groups of banded matrices with banded inverses.” Proceedings of the American Mathematical Society 139.12 (2011): 4255-4264.
Version
Author's final manuscript
Abstract
A product A=F[subscript 1]...F[subscript N] of invertible block-diagonal matrices will be banded with a banded
inverse. We establish this factorization with the number N controlled by the bandwidths w
and not by the matrix size n. When A is an orthogonal matrix, or a permutation, or banded
plus finite rank, the factors F[subscript i] have w=1 and generate that corresponding group. In the
case of infinite matrices, conjectures remain open.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
Terms of Use
Creative Commons Attribution-Noncommercial-Share Alike 3.0
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DOI of Published Version
https://doi.org/10.1090/s0002-9939-2011-10959-6
