Solving tied interval linear systems

This paper presents a survey of modern techniques for enclosing the solution sets to interval linear systems whose parameters are subject to additional ties. For optimal (exact) component-wise estimation of the solution sets to interval linear systems with symmetric, persymmetric, Hankel and Toeplitz matrices, we develop socalled parameter partitioning methods (PPS-methods) based on adaptive partitioning of the interval initial data of the problem under consideration.