Calmness of Linear Constraint Systems under Structured Perturbations with an Application to the Path-Following Scheme

Abstract We are concerned with finite linear constraint systems in a parametric framework where the right-hand side is an affine function of perturbation parameter. Such structured perturbations provide unified for different models literature, as block, directional and/or partial both inequalities and equalities. extend some recent results about calmness feasible set mapping application to convergence certain path-following algorithmic scheme. underline fact that our formula modulus depends only on nominal data, which makes it computable practice.