Computing a canonical form of a matrix pencil
Using the spectral projection onto the deflating subspace of a regular matrix pencil corresponding to the eigenvalues inside a specified region of the complex plane, we proposed a new method to compute a corresponding canonical form. The study included a perturbation analysis of the method as well a...
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| Format: | Article |
| Language: | English |
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AIMS Press
2024-03-01
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| Series: | AIMS Mathematics |
| Subjects: | |
| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.2024531?viewType=HTML |
| _version_ | 1797230982244335616 |
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| author | Miloud Sadkane Roger Sidje |
| author_facet | Miloud Sadkane Roger Sidje |
| author_sort | Miloud Sadkane |
| collection | DOAJ |
| description | Using the spectral projection onto the deflating subspace of a regular matrix pencil corresponding to the eigenvalues inside a specified region of the complex plane, we proposed a new method to compute a corresponding canonical form. The study included a perturbation analysis of the method as well as examples to illustrate its numerical and theoretical merits. |
| first_indexed | 2024-04-24T15:37:08Z |
| format | Article |
| id | doaj.art-34edf3774ed94071bbfea695222f4e66 |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-04-24T15:37:08Z |
| publishDate | 2024-03-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-34edf3774ed94071bbfea695222f4e662024-04-02T01:23:46ZengAIMS PressAIMS Mathematics2473-69882024-03-0195108821089210.3934/math.2024531Computing a canonical form of a matrix pencilMiloud Sadkane 0Roger Sidje11. Univ Brest, CNRS - UMR 6205, LMBA, 6, Avenue Le Gorgeu. 29238 Brest Cedex 3, France2. The University of Alabama, Department of Mathematics, P.O. Box 870350, Tuscaloosa, AL 35487, USAUsing the spectral projection onto the deflating subspace of a regular matrix pencil corresponding to the eigenvalues inside a specified region of the complex plane, we proposed a new method to compute a corresponding canonical form. The study included a perturbation analysis of the method as well as examples to illustrate its numerical and theoretical merits.https://www.aimspress.com/article/doi/10.3934/math.2024531?viewType=HTMLcanonical formmatrix pencilspectral projection |
| spellingShingle | Miloud Sadkane Roger Sidje Computing a canonical form of a matrix pencil AIMS Mathematics canonical form matrix pencil spectral projection |
| title | Computing a canonical form of a matrix pencil |
| title_full | Computing a canonical form of a matrix pencil |
| title_fullStr | Computing a canonical form of a matrix pencil |
| title_full_unstemmed | Computing a canonical form of a matrix pencil |
| title_short | Computing a canonical form of a matrix pencil |
| title_sort | computing a canonical form of a matrix pencil |
| topic | canonical form matrix pencil spectral projection |
| url | https://www.aimspress.com/article/doi/10.3934/math.2024531?viewType=HTML |
| work_keys_str_mv | AT miloudsadkane computingacanonicalformofamatrixpencil AT rogersidje computingacanonicalformofamatrixpencil |