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On a Class of Singular Nonsymmetric Matrices with Nonnegative Integer Spectra
Stockholm University, Faculty of Social Sciences, Department of Statistics.
##### Abstract [en]

The objective of this paper is to consider a class of singular nonsym

metric matrices with integer spectrum. The class comprises generalized triangular matrices with diagonal elements obtained by summing the elements of the corresponding column. If the size of a matrix belonging to the class equals $n\times n$, the spectrum of the matrix is given by the sequence of distinct non-negative integers up to n-1, irrespective of the elements of the matrix. Right and left eigenvectors are obtained. Moreover, several interesting relations are presented, including factorizations via triangular matrices.

##### Place, publisher, year, edition, pages
Centre of Biostochastics, Umeå, Sweden , 2007.
##### Series
, Research Report, ISSN 1651-8543 ; 10
##### Keyword [en]
Eigenvectors, generalized triangular matrix, integer spectrum, nonsymmetric matrix, triangular factorization
##### National Category
Probability Theory and Statistics
##### Identifiers
OAI: oai:DiVA.org:su-13981DiVA: diva2:180501
Available from: 2008-05-23 Created: 2008-05-23Bibliographically approved

#### Open Access in DiVA

No full text

http://biostochastics.slu.se/publikationer/dokument/Report2007_10.pdf
##### By organisation
Department of Statistics
##### On the subject
Probability Theory and Statistics