A Survey of Classes of Matrices Possessing the Interval Property and Related Properties
Jürgen Garloff, Mohammad Adm, Jihad Titi · URN-Resolver at the German National Library (German National Library) · 2016
This paper considers intervals of real matrices with respect to partial orders and the problem to infer from some exposed matrices lying on the boundary of such an interval that all real matrices taken from the interval possess a certain property. In many cases such a property requires that the chosen matrices have an identically signed inverse. We also briefly survey related problems, e.g., the invariance of matrix properties under entry-wise perturbations.