A nonvariational generation of a min-max principle by A. Lazer is made. And it is used to prove a new existence results for a nonconservative systems of ordinary differential equations with resonance.

This paper proposes a new finite precision iterative decoder for low-density parity-check (LDPC) codes. The proposed decoder, named Sign-Preserving Min-Sum (SP-MS), significantly improves the decoding performance compared to classical Offset (OMS) when messages are quantized on <tex-math n...

We study the minimization of a quadratic objective function in a distributed fashion. It is known that the min-sum algorithm can be applied to solve the minimization problem if the algorithm converges. We propose a min-summin message-passing algorithm which includes the min-sum algorithm as a special case. As the name suggests, the new algorithm involves two minimizations in each iteration as c...

We study the following min-min random graph process G = (G0, G1, . . .): the initial state G0 is an empty graph on n vertices (n even). Further, GM+1 is obtained from GM by choosing a pair {v, w} of distinct vertices of minimum degree uniformly at random among all such pairs in GM and adding the edge {v, w}. The process may produce multiple edges. We show that GM is asymptotically almost surely...