| Residential College | false |
| Status | 已發表Published |
| A note on numerical range and product of matrices | |
Che-Man Cheng  ; Yuan Gao
| |
| 2013-04-01 | |
| Source Publication | Linear Algebra and Its Applications
 |
| ISSN | 0024-3795 |
| Volume | 438Issue:7Pages:3139-3143 |
| Abstract | Let A be any n×n complex matrix. Let σ(A) and W(A) denote respectively the spectrum and the numerical range of A. It is well-known that if A is a multiple of a positive semidefinite matrix, then σ(AB) W(A)W(B) for all n×n complex matrices B. We show that the converse is also true. |
| Keyword | Numerical Range Spectrum |
| DOI | 10.1016/j.laa.2012.12.031 |
| URL | View the original |
| Indexed By | SCIE |
| Language | 英語English |
| WOS Research Area | Mathematics |
| WOS Subject | Mathematics, Applied ; Mathematics |
| WOS ID | WOS:000315830200019 |
| Publisher | ELSEVIER SCIENCE INCSTE 800, 230 PARK AVE, NEW YORK, NY 10169 |
| Scopus ID | 2-s2.0-84873734707 |
| Fulltext Access | |
| Citation statistics | |
| Document Type | Journal article |
| Collection | DEPARTMENT OF MATHEMATICS |
| Corresponding Author | Che-Man Cheng |
| Affiliation | Department of Mathematics, University of Macau, Macao, China |
| First Author Affilication | University of Macau |
| Corresponding Author Affilication | University of Macau |
| Recommended Citation GB/T 7714 | Che-Man Cheng,Yuan Gao. A note on numerical range and product of matrices[J]. Linear Algebra and Its Applications, 2013, 438(7), 3139-3143. |
| APA | Che-Man Cheng., & Yuan Gao (2013). A note on numerical range and product of matrices. Linear Algebra and Its Applications, 438(7), 3139-3143. |
| MLA | Che-Man Cheng,et al."A note on numerical range and product of matrices".Linear Algebra and Its Applications 438.7(2013):3139-3143. |
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