An iterative scheme for solving the optimal transportation problem

作者：Kitagawa Jun^*

来源：Calculus of Variations and Partial Differential Equations, 2014, 51(1-2): 243-263.

DOI：10.1007/s00526-013-0673-x

We demonstrate an iterative scheme to approximate the optimal transportation problem with a discrete target measure under certain standard conditions on the cost function. Additionally, we give a finite upper bound on the number of iterations necessary for the scheme to terminate, in terms of the error tolerance and number of points in the support of the discrete target measure.

• 出版日期2014-9