| Residential College | false |
| Status | 已發表Published |
| Unitarily invariant norms of Toeplitz matrices with Fisher-Hartwig singularities | |
| Vong,Seak Weng; Jin,Xiao Qing | |
| 2007 | |
| Source Publication | SIAM Journal on Matrix Analysis and Applications
 |
| ISSN | 0895-4798 |
| Volume | 29Issue:3Pages:850-854 |
| Abstract | We provide upper bounds for unitarily invariant norms of finite Toeplitz matrices generated by functions with a Fisher-Hartwig singularity. These bounds are sharp as the matrix size goes to infinity. Our results improve previous estimates and confirm a conjecture recently raised by Böttcher. © 2007 Society for Industrial and Applied Mathematics. |
| Keyword | Fisher-hartwig Singularity Ky Fan Norm Schatten Norm Toeplitz Matrix Unitarily Invariant Norm |
| DOI | 10.1137/070681065 |
| URL | View the original |
| Language | 英語English |
| WOS ID | WOS:000251174500009 |
| Scopus ID | 2-s2.0-48249108739 |
| Fulltext Access | |
| Citation statistics | |
| Document Type | Journal article |
| Collection | University of Macau |
| Affiliation | Department of Mathematics,University of Macau,Macao,Macao |
| First Author Affilication | University of Macau |
| Recommended Citation GB/T 7714 | Vong,Seak Weng,Jin,Xiao Qing. Unitarily invariant norms of Toeplitz matrices with Fisher-Hartwig singularities[J]. SIAM Journal on Matrix Analysis and Applications, 2007, 29(3), 850-854. |
| APA | Vong,Seak Weng., & Jin,Xiao Qing (2007). Unitarily invariant norms of Toeplitz matrices with Fisher-Hartwig singularities. SIAM Journal on Matrix Analysis and Applications, 29(3), 850-854. |
| MLA | Vong,Seak Weng,et al."Unitarily invariant norms of Toeplitz matrices with Fisher-Hartwig singularities".SIAM Journal on Matrix Analysis and Applications 29.3(2007):850-854. |
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