WebWe show that the local linear convergence of ADMM can be guaranteed without the strong convexity of objective functions together with the full rank assumption of the coefficient matrices, or the full polyhedricity assumption of their subdifferential; and it is possible to discern the local linear convergence for various concrete applications ... WebMar 1, 2024 · Strong Stationarity for Optimization Problems with Complementarity Constraints in Absence of Polyhedricity: With Applications to Optimization with …
Abstract. arXiv:2205.01196v1 [math.OC] 2 May 2024
WebJun 22, 2024 · The lack of polyhedricity of Λ is also illustrated by the integral over the set \(\mathcal {M}\) in , which does not appear, if the set Λ is polyhedric, see [9, 17]. This integral is closely related to the pullback of the second distributional derivative of the absolute value function, see [3, Section 5.2.2] for details. WebNov 7, 2024 · We demonstrate that the set L∞(X, [−1,1]) of all measurable functions over a Borel measure space (X, B, μ) with values in the unit interval is typically non‐polyhedric … the pier hotel aberystwyth
Porous flow model for cellular foams SpringerLink
WebThis paper discusses a class of state constrained optimal control problems, for which it is possible to formulate second-order necessary or sufficient conditions for local optimality or quadratic growth that do not involve all curvature terms for the constraints. This kind of result is classical in the case of polyhedric control constraints. Our theory of optimization … WebOct 31, 2024 · This paper examines optimal control problems governed by elliptic variational inequalities of the second kind with bounded and unbounded operators. To tackle the … WebSpecifically, we demonstrated the polyhedricity 0.95, significantly lower than the octahedricity value. The tin measure for the quantitative evaluation of the symmetry of the … sick time california labor code