barrierparameter
Barrierparameter refers to the scalar that weights the logarithmic barrier term in barrier methods, a class of interior-point algorithms used for constrained optimization. It controls how strongly the method penalizes nearing the boundary of the feasible region. As the barrier parameter increases, the influence of the barrier term diminishes, allowing the iterates to approach the true optimum of the original problem while staying feasible in the interior.
In a typical setup, consider a constrained problem such as minimize f(x) subject to Ax ≤ b and
Algorithmically, barriermethods traverse a central path: for each t, compute the minimizer x(t) of the barrier
Barrierparameter is widely used in linear programming, convex optimization, and semidefinite programming, often via logarithmic barrier