In this paper, we investigate bounds on eigenvalues of real symmetric interval matrices. We present a method that computes It outperforms many methods developed in the literature and produces as sharp possible The aim is to apply proposed compute lower hessian matrix nonconvex function ?BB use them produce tighter underestimator improves algorithm for solving global optimization problems. end, ...

The eigenvalue bounds of interval matrices are often required in some mechanical and engineering fields. In this paper, we improve the theoretical results presented a previous paper “A property for class symmetric tridiagonal matrices” provide fast algorithm to find upper lower eigenvalues matrices.

This paper introduces the emph{interval unilateral quadratic matrix equation}, $IUQe$ and attempts to find various analytical results on its AE-solution sets in which $A,B$ and $CCC$ are known real interval matrices, while $X$ is an unknown matrix. These results are derived from a generalization of some results of Shary. We also give sufficient conditions for non-emptiness of some quasi-solutio...

The class of square matrices order n having a negative determinant and all their minors up to n−1 nonnegative is considered. A characterization these presented which provides an easy test based on the Cauchon algorithm for recognition. Furthermore, maximum allowable perturbation entry in position (2,2) such that perturbed matrix remains this given. Finally, it shown lying between two with respe...