ABSTRACT: Numeric algorithms for solving the linear systems of tridiagonal type have already existed. The well-known Thomas algorithm is an example of such algorithms. The current paper is mainly ...

We put forward and prove a simple theorem stating that the eigenvalues of a tridiagonal matrix change their sign (as a set), once the signs of the diagonal elements of the matrix are changed. We also ...

In this paper Routh canonical form is derived for a general class of characteristic polynomials having roots with nonpositive real parts. This canonical form has real entries which are derived from a ...