| dc.contributor.author | Strang, Gilbert | |
| dc.date.accessioned | 2013-09-23T18:37:23Z | |
| dc.date.available | 2013-09-23T18:37:23Z | |
| dc.date.issued | 2010-06 | |
| dc.date.submitted | 2010-03 | |
| dc.identifier.issn | 0027-8424 | |
| dc.identifier.issn | 1091-6490 | |
| dc.identifier.uri | http://hdl.handle.net/1721.1/80880 | |
| dc.description.abstract | It is unusual for both A and A[superscript -1] to be banded—but this can be a valuable property in applications. Block-diagonal matrices F are the simplest examples; wavelet transforms are more subtle. We show that every example can be factored into A = F[subscript 1]…F[subscript N] where N is controlled by the bandwidths of A and A[superscript -1} (but not by their size, so this extends to infinite matrices and leads to new matrix groups). | en_US |
| dc.language.iso | en_US | |
| dc.publisher | National Academy of Sciences (U.S.) | en_US |
| dc.relation.isversionof | http://dx.doi.org/10.1073/pnas.1005493107 | en_US |
| dc.rights | Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. | en_US |
| dc.source | PNAS | en_US |
| dc.title | Fast transforms: Banded matrices with banded inverses | en_US |
| dc.type | Article | en_US |
| dc.identifier.citation | Strang, G. “Inaugural Article: Fast transforms: Banded matrices with banded inverses.” Proceedings of the National Academy of Sciences 107, no. 28 (July 13, 2010): 12413-12416. | en_US |
| dc.contributor.department | Massachusetts Institute of Technology. Department of Mathematics | en_US |
| dc.contributor.mitauthor | Strang, Gilbert | en_US |
| dc.relation.journal | Proceedings of the National Academy of Sciences | en_US |
| dc.eprint.version | Final published version | 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, G. | en_US |
| dc.identifier.orcid | https://orcid.org/0000-0001-7473-9287 | |
| dspace.mitauthor.error | true | |
| mit.license | PUBLISHER_POLICY | en_US |
| mit.metadata.status | Complete | |
