Computation of linear algebraic equations with solvability verification over multi-agent networks
In this paper, we consider the problem of solving a linear algebraic equation in a distributed way by a multi-agent system with a solvability verification requirement. In the problem formulation, each agent knows a few columns of , different from the previous results with assuming that each agent knows a few rows of and . Then, a distributed continuous-time algorithm is proposed for solving the linear algebraic equation from a distributed constrained optimization viewpoint. The algorithm is...