Mathematics

Investigators at Washington State University publish new data on linear algebra

  2008 NOV 10 - (VerticalNews.com) -- "In this paper, we give necessary and sufficient conditions for a set of Jordan blocks to correspond to the peripheral spectrum of a nonnegative matrix. For each eigenvalue. lambda, the lambda-level characteristic (with respect to the spectral radius) is defined," scientists writing in the journal Linear Algebra and Its Applications report.

  "The necessary and sufficient conditions include a requirement that the lambda-level characteristic is majorized by the lambda-height characteristic. An algorithm which has been implemented in MATLAB is given to determine when a multiset of Jordan blocks corresponds to the peripheral spectrum of a nonnegative matrix," wrote J.J. Mcdonald and colleagues, Washington State University.

  The researchers concluded: "The algorithm is based on the necessary and sufficient conditions given in this paper."

  Mcdonald and colleagues published their study in Linear Algebra and Its Applications (Level characteristics corresponding to peripheral eigenvalues of a nonnegative matrix. Linear Algebra and Its Applications, 2008;429(7):1719-1729).

  Additional information can be obtained by contacting J.J. Mcdonald, Washington State University, Dept. of Math, Box 643113, Pullman, WA 99164, USA.

  The publisher of the journal Linear Algebra and Its Applications can be contacted at: Elsevier Science Inc., 360 Park Avenue South, New York, NY 10010-1710, USA.

  Keywords: Mathematics, Washington State University.

  This article was prepared by VerticalNews Mathematics editors from staff and other reports. Copyright 2008, VerticalNews Mathematics via VerticalNews.com.