Journal article
Continuity of submatrices and Ritz sets associated to apoint in the numerical range
Linear algebra and its applications, v 624, pp 1-13
01 Sep 2021
Abstract
Let A is an element of C-nxn be normal with eigenvalues lambda(1),...,lambda(n). For a given z in the numerical range of A, consider the set B-A,B-k(z) of k x k matrices W for which z * 0 W is a compression of A. Assuming that no three eigenvalues lie on the same line, we prove that for any compact subset Kof the numerical range of Athat avoids the eigenvalues, the mappings z bar right arrow B-A,B-k(z) and z bar right arrow sigma(B-A,B-k(z)) are uniformly continuous on K. (C) 2021 Elsevier Inc. All rights reserved.
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Details
- Title
- Continuity of submatrices and Ritz sets associated to apoint in the numerical range
- Creators
- Kennett L. Dela Rosa - Drexel Univ, Dept Math, Philadelphia, PA 19104 USAHugo J. Woerdeman - Drexel University
- Publication Details
- Linear algebra and its applications, v 624, pp 1-13
- Publisher
- Elsevier
- Number of pages
- 13
- Grant note
- DMS 2000037 / National Science Foundation; National Science Foundation (NSF) 355645 / Simons Foundation
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- Mathematics
- Web of Science ID
- WOS:000648525400001
- Scopus ID
- 2-s2.0-85104059467
- Other Identifier
- 991019168059904721
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- Collaboration types
- Domestic collaboration
- International collaboration
- Web of Science research areas
- Mathematics
- Mathematics, Applied