A non-symmetric matrix with integer eigenvalues
2007 (English)In: Linear and Multilinear Algebra, ISSN 0308-1087, 1563-5139, Vol. 55, no 3, 239-247 p.Article in journal (Refereed) Published
A nonsymmetric N × N matrix with elements as certain simple functions of N distinct real or complex numbers r 1, r 2, …, rN is presented. The matrix is special due to its eigenvalues − the consecutive integers 0,1,2, …, N−1. Theorems are given establishing explicit expressions of the right and left eigenvectors and formulas for recursive calculation of the right eigenvectors. A special case of the matrix has appeared in sampling theory where its right eigenvectors, if properly normalized, give the inclusion probabilities of the conditional Poisson sampling design.
Place, publisher, year, edition, pages
Taylor & Francis Group, 2007. Vol. 55, no 3, 239-247 p.
Algebra and Logic
IdentifiersURN: urn:nbn:se:umu:diva-7762DOI: 10.1080/03081080600906455OAI: oai:DiVA.org:umu-7762DiVA: diva2:147433