Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8898009 | Linear Algebra and its Applications | 2018 | 10 Pages |
Abstract
Let λ1â¥Î»2â¥Î»3â¥Î»4â¥Î»5â¥âλ1 be real numbers such that âi=15λi=0. In [16], O. Spector proved that a necessary and sufficient condition for λ1,λ2,λ3,λ4,λ5 to be the eigenvalues of a traceless symmetric nonnegative 5Ã5 matrix is “λ2+λ5â¤0 and âi=15λi3â¥0”. In this article, we show that this condition is also a necessary and sufficient condition for λ1,λ2,λ3,λ4,λ5 to be the spectrum of a traceless bisymmetric nonnegative 5Ã5 matrix.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Somchai Somphotphisut, Keng Wiboonton,