Multiresolution Analysis Applied to the Monge-Kantorovich Problem

Autor: Armando Sánchez-Nungaray, Carlos González-Flores, Raquiel R. López-Martínez
Jazyk: angličtina
Rok vydání: 2018
Předmět:
Zdroj: Abstract and Applied Analysis, Vol 2018 (2018)
Druh dokumentu: article
ISSN: 1085-3375
1687-0409
DOI: 10.1155/2018/1764175
Popis: We give a scheme of approximation of the MK problem based on the symmetries of the underlying spaces. We take a Haar type MRA constructed according to the geometry of our spaces. Thus, applying the Haar type MRA based on symmetries to the MK problem, we obtain a sequence of transportation problem that approximates the original MK problem for each of MRA. Moreover, the optimal solutions of each level solution converge in the weak sense to the optimal solution of original problem.
Databáze: Directory of Open Access Journals
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