Improved forms of some interval Newton Methods are given. It is shown that certain intervals in the methods can be replaced by real numbers. This improves the convergence properties of the methods.â€¦ (More)

Introduction. In this paper, we consider the problem of applying interval arithmetic to bound a solution of a system of nonlinear equations. Moore [1, Section 7.3] has discussed the same problem. Hisâ€¦ (More)

We discuss one known and five new interrelated methods for bounding the hull of the solution set of a system of interval linear equations. Each method involves a polynomial amount of computing; butâ€¦ (More)

To overcome difficulties in polynomial evaluation caused by overflow or unnecessary underflow, we introduce a simple scaling procedure into Horner's method.

Performing a relational test on intervals is different than performing the equivalent relational test on points. The reason is that the difficulty making interval tests can vary. Simply evaluatingâ€¦ (More)

It is a well known fact; that the Danilewski method for finding the characteristic polynomial of a matrix tends to be numerically unstable. (See, for example [3, 4].) Moreover, the roots of aâ€¦ (More)