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Primal-dual splitting algorithm for solving inclusions with mixtures of composite, Lipschitzian, and parallel-sum monotone operators
maximal monotone operator monotone inclusion nonsmooth convex optimization parallel sum set-valued duality splitting algorithm
2011/8/22
Abstract: We propose a primal-dual splitting algorithm for solving monotone inclusions involving a mixture of sums, linear compositions, and parallel sums of set-valued and Lipschitzian operators. An ...
Pointwise estimates for the ground states of some classes of positivity preserving operators
Hardy’s inequality ground state ultracontractivity Dirichlet form energy measure
2010/11/29
We establish pointwise estimates for the ground states of some classes of posi-tivity preserving operators. The considered operators are negatively perturbed (by measures) strongly local Dirichlet ope...