A note on properties and computations of matrix pseudospectra | |
Du, K ; Du K(杜魁) | |
2006 | |
关键词 | pseudospectra QR decomposition rank revealing QR decomposition LS problem Kronecker product |
英文摘要 | Recently, Shen et al. has published a paper concerning the properties and computations of matrix pseudospectra. However, some of the main results seem to be incomplete. As a complement of the paper, in this note we first make several examples to show the incompleteness of that results, then we give the modified results through giving more appropriate definitions replacing the one given in [Y. Shen, J. Zhao, H. Fan. Properties and computations of matrix pseudospectra, Applied Mathematics and Computation 161 (2005) 385-393]. An interesting inclusion theorem for pseudospectra is given, which provides preferable bounds for standard pseudospectra. Some other properties are also explored. (c) 2005 Elsevier Inc. All rights reserved. |
语种 | 英语 |
内容类型 | 期刊论文 |
源URL | [http://dspace.xmu.edu.cn/handle/2288/66419] |
专题 | 数学科学-已发表论文 |
推荐引用方式 GB/T 7714 | Du, K,Du K. A note on properties and computations of matrix pseudospectra[J],2006. |
APA | Du, K,&杜魁.(2006).A note on properties and computations of matrix pseudospectra.. |
MLA | Du, K,et al."A note on properties and computations of matrix pseudospectra".(2006). |
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