Optimal correction of infeasible equations system as Ax + B|x|= b using ℓ p-norm regularization

Optimal correction of an infeasible equations system as Ax + B|x|= b leads into a non-convex fractional problem. In this paper, regularization method(ℓp-norm, 0 < p 1), is presented to solve mentioned method, the obtained problem can be formulated and nonsmooth optimization which not Lipschitz. The objective function decomposed difference convex functions (DC). For reason, we use special smoothing technique based on DC programming. numerical results for generated show high performance effectiveness proposed method.