Frakis, Abdelkader and Smail, Abderrahmane (2015) Localization of the pseudospectra of matrices through the numerical range. ACTA MATHEMATICA ACADEMIAE PAEDAGOGICAE NYÍREGYHÁZIENSIS, 31 (2). pp. 215-225. ISSN 0866-0174
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Abstract
Numerical range and pseudospectra of a matrix play an important role in different areas and have several applications in different domains. The numerical range gives an estimate to the location of the pseudospectra, the present work proposes some properties of pseudospectra of a matrix and provides a connection between numerical range and pseudospectra of a matrix. Some upper bounds for pseudospectra of a matrix are given. Also we use the pseudospectra to solve a problem concerning the matrices which are nearly commuting.
| Item Type: | Article |
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| Uncontrolled Keywords: | Pseudospectra, numerical range, numerical positive abscissa, numerical negative abscissa, pseudoprojection, almost commuting matrices |
| Subjects: | Q Science / természettudomány > QA Mathematics / matematika |
| SWORD Depositor: | MTMT SWORD |
| Depositing User: | Zsolt Baráth |
| Date Deposited: | 06 Feb 2024 11:17 |
| Last Modified: | 06 Feb 2024 11:28 |
| URI: | http://real.mtak.hu/id/eprint/187672 |
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