Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4602651 | Linear Algebra and its Applications | 2009 | 8 Pages |
Abstract
The Sylvester–Kac matrix is a tridiagonal matrix with integer entries and integer eigenvalues that appears in a variety of applicative problems. We show that it belongs to a four dimensional linear space of tridiagonal matrices that can be simultaneously reduced to triangular form. We name this space after the matrix.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory