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Convergence of a damped Newton's method for discrete Monge-Ampere functions with a prescribed asymptotic cone (1911.00260v3)
Published 1 Nov 2019 in math.NA and cs.NA
Abstract: We prove the convergence of a damped Newton's method for the nonlinear system resulting from a discretization of the second boundary value problem for the Monge-Ampere equation. The boundary condition is enforced through the use of the notion of asymptotic cone. The differential operator is discretized based on a discrete analogue of the subdifferential.