Spectral properties for a new composition of a matrix and a complex representation
A way to compose a matrix P and a finite dimensional representation ρ of C via a map h into a new matrix P *h ρ is defined. Several results about the spectrum, eigenvectors, kernel and rank of P *h ρ are proved.
| Main Authors: | , , , |
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| Other Authors: | |
| Format: | Journal Article |
| Language: | English |
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2014
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| Subjects: | |
| Online Access: | https://hdl.handle.net/10356/106284 http://hdl.handle.net/10220/24005 http://www.mat.unimi.it/users/molteni/research/papers-pdf/29-molteni-Spectral_properties_for_a_new_composition_of_a_matrix_and_a_complex_representation.pdf |
| _version_ | 1826115116520701952 |
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| author | Liu, Y. Molteni, G. Zhang, D. Lin, Z. |
| author2 | School of Electrical and Electronic Engineering |
| author_facet | School of Electrical and Electronic Engineering Liu, Y. Molteni, G. Zhang, D. Lin, Z. |
| author_sort | Liu, Y. |
| collection | NTU |
| description | A way to compose a matrix P and a finite dimensional representation ρ of C via a map h into a new matrix P *h ρ is defined. Several results about the spectrum, eigenvectors, kernel and rank of P *h ρ are proved. |
| first_indexed | 2024-10-01T03:50:17Z |
| format | Journal Article |
| id | ntu-10356/106284 |
| institution | Nanyang Technological University |
| language | English |
| last_indexed | 2024-10-01T03:50:17Z |
| publishDate | 2014 |
| record_format | dspace |
| spelling | ntu-10356/1062842019-12-06T22:08:04Z Spectral properties for a new composition of a matrix and a complex representation Liu, Y. Molteni, G. Zhang, D. Lin, Z. School of Electrical and Electronic Engineering DRNTU::Science::Mathematics::Algebra A way to compose a matrix P and a finite dimensional representation ρ of C via a map h into a new matrix P *h ρ is defined. Several results about the spectrum, eigenvectors, kernel and rank of P *h ρ are proved. Published version 2014-10-13T02:44:39Z 2019-12-06T22:08:04Z 2014-10-13T02:44:39Z 2019-12-06T22:08:04Z 2012 2012 Journal Article Lin, Z., Liu, Y., Molteni, G., & Zhang, D. (2012). Spectral properties for a new composition of a matrix and a complex representation. The electronic journal of linear algebra, 23, 530-539. https://hdl.handle.net/10356/106284 http://hdl.handle.net/10220/24005 http://www.mat.unimi.it/users/molteni/research/papers-pdf/29-molteni-Spectral_properties_for_a_new_composition_of_a_matrix_and_a_complex_representation.pdf en The electronic journal of linear algebra © 2012 The Authors(The Electronic Journal of Linear Algebra). This paper was published in The Electronic Journal of Linear Algebra and is made available as an electronic reprint (preprint) with permission of The Authors(The Electronic Journal of Linear Algebra). The paper can be found at the following official URL: [http://www.mat.unimi.it/users/molteni/research/papers-pdf/29-molteni-Spectral_properties_for_a_new_composition_of_a_matrix_and_a_complex_representation.pdf]. One print or electronic copy may be made for personal use only. Systematic or multiple reproduction, distribution to multiple locations via electronic or other means, duplication of any material in this paper for a fee or for commercial purposes, or modification of the content of the paper is prohibited and is subject to penalties under law. 9 p. application/pdf |
| spellingShingle | DRNTU::Science::Mathematics::Algebra Liu, Y. Molteni, G. Zhang, D. Lin, Z. Spectral properties for a new composition of a matrix and a complex representation |
| title | Spectral properties for a new composition of a matrix and a complex representation |
| title_full | Spectral properties for a new composition of a matrix and a complex representation |
| title_fullStr | Spectral properties for a new composition of a matrix and a complex representation |
| title_full_unstemmed | Spectral properties for a new composition of a matrix and a complex representation |
| title_short | Spectral properties for a new composition of a matrix and a complex representation |
| title_sort | spectral properties for a new composition of a matrix and a complex representation |
| topic | DRNTU::Science::Mathematics::Algebra |
| url | https://hdl.handle.net/10356/106284 http://hdl.handle.net/10220/24005 http://www.mat.unimi.it/users/molteni/research/papers-pdf/29-molteni-Spectral_properties_for_a_new_composition_of_a_matrix_and_a_complex_representation.pdf |
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