Article ID Journal Published Year Pages File Type
4602651 Linear Algebra and its Applications 2009 8 Pages PDF
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