| Residential College | false |
| Status | 已發表Published |
| Some Geometrical Properties of the Decomposable Numerical Range | |
| Cheng，Che Man1; Li，Chi Kwong2 | |
| 1994-06-01 | |
| Source Publication | Linear and Multilinear Algebra
 |
| ISSN | 0308-1087 |
| Volume | 37Issue:1-3Pages:207-212 |
| Abstract | For 1 ≤ m ≤ n, the mth decomposable numerical range of an n × n complex matrix A is defined and denoted by W(A) = {det(X*AX) : X is an n × m complex matrix such that X* X = I}. In this note, we determine the conditions on an essentially Hermitian matrix A (i.e., A is normal with collinear eigenvalues) such that W(A) is (i) convex, or (ii) simply connected. For a general A, we obtain a sufficient for W(A) to be starshaped. These answer some questions raised by Bebiano and the second author on the geometrical properties of the decomposable numerical range. © 1994, Taylor & Francis Group, LLC. All rights reserved. |
| DOI | 10.1080/03081089408818322 |
| URL | View the original |
| Language | 英語English |
| Scopus ID | 2-s2.0-0346623913 |
| Fulltext Access | |
| Citation statistics | |
| Document Type | Journal article |
| Collection | University of Macau |
| Affiliation | 1.Faculty of Science and Technology,University of Macau,Macau,China 2.Department of Mathematics,The College of William and Mary,Williamsburg, VA 23187,United States |
| First Author Affilication | Faculty of Science and Technology |
| Recommended Citation GB/T 7714 | Cheng，Che Man,Li，Chi Kwong. Some Geometrical Properties of the Decomposable Numerical Range[J]. Linear and Multilinear Algebra,1994,37(1-3):207-212. |
| APA | Cheng，Che Man,&Li，Chi Kwong.(1994).Some Geometrical Properties of the Decomposable Numerical Range.Linear and Multilinear Algebra,37(1-3),207-212. |
| MLA | Cheng，Che Man,et al."Some Geometrical Properties of the Decomposable Numerical Range".Linear and Multilinear Algebra 37.1-3(1994):207-212. |
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