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- Publisher Website: 10.1137/090758374
- Scopus: eid_2-s2.0-79251474035
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Article: Decay in functions of multiband matrices
| Title | Decay in functions of multiband matrices |
|---|---|
| Authors | |
| Keywords | Numerical range Polynomial approximation Toeplitz matrices Banded matrices Exponential decay Matrix functions Multiband matrices Multilevel matrices |
| Issue Date | 2010 |
| Citation | SIAM Journal on Matrix Analysis and Applications, 2010, v. 31, n. 5, p. 2721-2737 How to Cite? |
| Abstract | The Benzi-Golub result on decay properties for matrix functions of a banded Hermitian matrix [BIT, 39 (1999), pp. 417-438] is extended to the case of multiband matrices. It is shown how the simple diagonal dominance technique applies to the general non-Hermitian case. We also present O(1) algorithms computing matrix functions of multiband and multi-Toeplitz (multilevel Toeplitz) matrices in time that depends on the bandwidth and prescribed approximation accuracy but does not depend on the size of matrices. © 2010 Society for Industrial and Applied Mathematics. |
| Persistent Identifier | http://hdl.handle.net/10722/276888 |
| ISSN | 2023 Impact Factor: 1.5 2023 SCImago Journal Rankings: 1.042 |
| ISI Accession Number ID |
| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Mastronardi, N. | - |
| dc.contributor.author | Ng, M. | - |
| dc.contributor.author | Tyrtyshnikov, E. E. | - |
| dc.date.accessioned | 2019-09-18T08:34:57Z | - |
| dc.date.available | 2019-09-18T08:34:57Z | - |
| dc.date.issued | 2010 | - |
| dc.identifier.citation | SIAM Journal on Matrix Analysis and Applications, 2010, v. 31, n. 5, p. 2721-2737 | - |
| dc.identifier.issn | 0895-4798 | - |
| dc.identifier.uri | http://hdl.handle.net/10722/276888 | - |
| dc.description.abstract | The Benzi-Golub result on decay properties for matrix functions of a banded Hermitian matrix [BIT, 39 (1999), pp. 417-438] is extended to the case of multiband matrices. It is shown how the simple diagonal dominance technique applies to the general non-Hermitian case. We also present O(1) algorithms computing matrix functions of multiband and multi-Toeplitz (multilevel Toeplitz) matrices in time that depends on the bandwidth and prescribed approximation accuracy but does not depend on the size of matrices. © 2010 Society for Industrial and Applied Mathematics. | - |
| dc.language | eng | - |
| dc.relation.ispartof | SIAM Journal on Matrix Analysis and Applications | - |
| dc.subject | Numerical range | - |
| dc.subject | Polynomial approximation | - |
| dc.subject | Toeplitz matrices | - |
| dc.subject | Banded matrices | - |
| dc.subject | Exponential decay | - |
| dc.subject | Matrix functions | - |
| dc.subject | Multiband matrices | - |
| dc.subject | Multilevel matrices | - |
| dc.title | Decay in functions of multiband matrices | - |
| dc.type | Article | - |
| dc.description.nature | link_to_subscribed_fulltext | - |
| dc.identifier.doi | 10.1137/090758374 | - |
| dc.identifier.scopus | eid_2-s2.0-79251474035 | - |
| dc.identifier.volume | 31 | - |
| dc.identifier.issue | 5 | - |
| dc.identifier.spage | 2721 | - |
| dc.identifier.epage | 2737 | - |
| dc.identifier.eissn | 1095-7162 | - |
| dc.identifier.isi | WOS:000285933400023 | - |
| dc.identifier.issnl | 0895-4798 | - |