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.

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Main Authors:	Liu, Y., Molteni, G., Zhang, D., Lin, Z.
Other Authors:	School of Electrical and Electronic Engineering
Format:	Article
Language:	English
Published:	2014
Subjects:	DRNTU::Science::Mathematics::Algebra
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
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Institution:	Nanyang Technological University
Language:	English

id	sg-ntu-dr.10356-106284
record_format	dspace
spelling	sg-ntu-dr.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
institution	Nanyang Technological University
building	NTU Library
country	Singapore
collection	DR-NTU
language	English
topic	DRNTU::Science::Mathematics::Algebra
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
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.
author2	School of Electrical and Electronic Engineering
author_facet	School of Electrical and Electronic Engineering Liu, Y. Molteni, G. Zhang, D. Lin, Z.
format	Article
author	Liu, Y. Molteni, G. Zhang, D. Lin, Z.
author_sort	Liu, Y.
title	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_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_sort	spectral properties for a new composition of a matrix and a complex representation
publishDate	2014
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
_version_	1681037600470597632

Spectral properties for a new composition of a matrix and a complex representation

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