New Schur stability checking method of the polynomial matrices whose coefficient matrix are interval matrices is presented in this paper. In the suggested method, the interval Markov matrices of the interval polynomial matrix are used to assess its stability. The validity of the suggested methods is illustrated through numerical examples. The main contribution of the suggested method is that it...

A symmetric matrix is Robinsonian if its rows and columns can be simultaneously reordered in such a way that entries are monotone nondecreasing in rows and columns when moving toward the diagonal. The adjacency matrix of a graph is Robinsonian precisely when the graph is a unit interval graph, so that Robinsonian matrices form a matrix analogue of the class of unit interval graphs. Here we prov...

In this paper, Bernoulli wavelets are presented for solving (approximately) fractional differential equations in a large interval. Bernoulli wavelets operational matrix of fractional order integration is derived and utilized to reduce the fractional differential equations to system of algebraic equations. Numerical examples are carried out for various types of problems, including fractional Van...

In this paper we obtain several characterizations of the adjacency matrix of a probe interval graph. In course of this study we describe an easy method of obtaining interval representation of an interval bipartite graph from its adjacency matrix. Finally, we note that if we add a loop at every probe vertex of a probe interval graph, then the Ferrers dimension of the corresponding symmetric bipa...

AHP is proposed to give the importance grade with respect to many items. The comparison value that is the element of a comparison matirx is used to be crisp, however, it is easy for a decision maker to give it as an interval. The interval comparison values can reflect uncertainty due to human judgement. In this paper, the interval importance grade is obatained from an interval comparison matrix...

We introduce a generalization of intervals over compact matrix Lie groups. Interval group elements are defined using a midpoint-radius representation. Furthermore, we define the respective group operations and the action of interval group elements on vector spaces. We developed structures and operations are implemented for the special case of orthogonal matrices in the matrix library of the COC...