刊名:Journal of Computational and Applied Mathematics
出版年:2017
出版时间:April 2017
年:2017
卷:314
期:Complete
页码:30-39
全文大小:874 K
卷排序:314
文摘
The Clement or Sylvester–Kac matrix is a tridiagonal matrix with zero diagonal and simple integer entries. Its spectrum is known explicitly and consists of integers which makes it a useful test matrix for numerical eigenvalue computations. We consider a new class of appealing two-parameter extensions of this matrix which have the same simple structure and whose eigenvalues are also given explicitly by a simple closed form expression. The aim of this paper is to present in an accessible form these new matrices and examine some numerical results regarding the use of these extensions as test matrices for numerical eigenvalue computations.