Abstract Low-rank matrix recovery problem is difficult due to its non-convex properties and it usually solved using convex relaxation approaches. In this paper, we formulate the low-rank exactly novel Ky Fan 2- k -norm-based models. A general difference of functions algorithm (DCA) developed solve these proximal point (PPA) framework proposed sub-problems within DCA, which allows us handle larg...

On the space l of p-summable sequences (of real numbers), one can derive a norm from the 2-norm as indicated by Gunawan [6]. The purpose of this note is to establish the equivalence between such a norm and the usual norm on l. We show that our result is useful in understanding the topology of l as a 2-normed space.

Superadditivity relations characterize the distributions of coherence in multipartite quantum systems. In this work, we investigate superadditivity related to l1-norm $C_{l_{1}}$ multiqubit Tighter inequalities based on α-th ( $\alpha \geqslant 1$ ) power are presented for states under certain conditions, which include existing results as special cases. These give rise finer characterization am...