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Using a special Vandermonde matrix to generate a class ofsingular nonsymmetric matrices with nonnegative integerspectra
Stockholm University, Faculty of Social Sciences, Department of Statistics.
Institutionen för biometri och teknik, Sveriges lantbruksuniversitet, (SLU).
2009 (English)Report (Other academic)
Abstract [en]

This paper presents a simple derivation of eigenvalues, and left andright eigenvectors of a square nonsymmetric matrix with remarkablefeatures. The proof is based on a special Vandermonde matrix. Thematrix appears in sampling theory, and its properly normalized righteigenvectors give the inclusion probabilities.

Place, publisher, year, edition, pages
Umeå: Centre of Biostochastics, Swedish University of Agricultural Sciences , 2009. , 7 p.
Series
Research Report, ISSN 1651-8543 ; 6
Keyword [en]
Integer spectra, Vandermonde matrix, inverse Vandermonde matrix
National Category
Mathematics
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:su:diva-49346OAI: oai:DiVA.org:su-49346DiVA: diva2:377255
Available from: 2010-12-13 Created: 2010-12-13 Last updated: 2011-01-18Bibliographically approved

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http://biostochastics.slu.se/publikationer/dokument/Report2009_06.pdf

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