We here show that the family of finite-dimensional, discrete-time, passive, linear time-invariant systems can be characterized through structure a matrix-convex set, which is maximal in sense being closed under products its elements Moreover, this observation unifies three setups: (i) difference inclusions, (ii) matrix-valued rational functions, (iii) realization arrays associated with function...

In the present paper we investigate linear growth of matter fluctuations based on a concrete model projected massive gravity, which is free Boulware-Deser ghost and preserves global Lorentz symmetry. We found that at subhorizon scales, modification to strongly suppressed even without nonlinear screening an additional force. addition, obtain observational constraints from distance redshift space...

We here show that the family of finite-dimensional, continuous-time, passive, linear, time-invariant systems can be characterized through structure maximal matrix-convex cones, closed under inversion. Moreover, this observation unifies three setups: (i) differential inclusions, (ii) matrix-valued rational functions, (iii) realization arrays associated with functions. It turns out in discrete-ti...

let a and b be n × m matrices. the matrix b is said to be g-row majorized (respectively g-column majorized) by a, if every row (respectively column) of b, is g-majorized by the corresponding row (respectively column) of a. in this paper all kinds of g-majorization are studied on mn,m, and the possible structure of their linear preservers will be found. also all linear operators t : mn,m ---> mn...