Groups of banded matrices with banded inverses

Author(s)
Strang, Gilbert
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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.
Date issued
2011-04
URI
http://hdl.handle.net/1721.1/72057
Department
Massachusetts Institute of Technology. Department of Mathematics
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
ISSN
1088-6826
0002-9939
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