| dc.contributor.author | Strang, Gilbert | |
| dc.date.accessioned | 2012-08-09T13:27:30Z | |
| dc.date.available | 2012-08-09T13:27:30Z | |
| dc.date.issued | 2011-04 | |
| dc.identifier.issn | 1088-6826 | |
| dc.identifier.issn | 0002-9939 | |
| dc.identifier.uri | http://hdl.handle.net/1721.1/72057 | |
| dc.description.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. | en_US |
| dc.language.iso | en_US | |
| dc.publisher | American Mathematical Society | en_US |
| dc.relation.isversionof | http://dx.doi.org/10.1090/s0002-9939-2011-10959-6 | en_US |
| dc.rights | Creative Commons Attribution-Noncommercial-Share Alike 3.0 | en_US |
| dc.rights.uri | http://creativecommons.org/licenses/by-nc-sa/3.0/ | en_US |
| dc.source | MIT web domain | en_US |
| dc.title | Groups of banded matrices with banded inverses | en_US |
| dc.type | Article | en_US |
| dc.identifier.citation | Strang, Gilbert. “Groups of banded matrices with banded inverses.” Proceedings of the American Mathematical Society 139.12 (2011): 4255-4264. | en_US |
| dc.contributor.department | Massachusetts Institute of Technology. Department of Mathematics | en_US |
| dc.contributor.approver | Strang, Gilbert | |
| dc.contributor.mitauthor | Strang, Gilbert | |
| dc.relation.journal | Proceedings of the American Mathematical Society | en_US |
| dc.eprint.version | Author's final manuscript | en_US |
| dc.type.uri | http://purl.org/eprint/type/JournalArticle | en_US |
| eprint.status | http://purl.org/eprint/status/PeerReviewed | en_US |
| dspace.orderedauthors | Strang, Gilbert | en |
| dc.identifier.orcid | https://orcid.org/0000-0001-7473-9287 | |
| dspace.mitauthor.error | true | |
| mit.license | OPEN_ACCESS_POLICY | en_US |
| mit.metadata.status | Complete | |
