Distribution of Eigenvalues and Upper Bounds of the Spread of Interval Matrices

The distribution of eigenvalues and the upper bounds for spread interval matrices are significant in various fields mathematics applied sciences, including linear algebra, numerical analysis, control theory, combinatorial optimization. We present within determine their using Geršgorin’s theorem. Specifically, through an equality variance a discrete random variable, we derive symmetric matrices. Finally, give three examples to illustrate effectiveness our results.