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Weak dual residuations applied to tropical linear equations
Abstract : An extension to an algorithm of R.A. Cuninghame-Green and K. Zimmermann for solving equations with residuated functions is presented. This extension relies on the concept of weak residuation and in the so-called “strong property”. It is shown that a contextualization of this method to tropical linear equations, which will be denoted as Primal Method (in contrast with the Dual Method, another algorithm described in literature), generates a non-decreasing sequence which converges to the smallest solution in a special semimodule. It is also shown the connections of this method with previously published works.
https://hal.univ-angers.fr/hal-02535546
Contributeur : Marie-Françoise Gerard Connectez-vous pour contacter le contributeur
Soumis le : mardi 7 avril 2020 - 16:21:24
Dernière modification le : vendredi 19 novembre 2021 - 14:46:13
Contributeur : Marie-Françoise Gerard Connectez-vous pour contacter le contributeur
Soumis le : mardi 7 avril 2020 - 16:21:24
Dernière modification le : vendredi 19 novembre 2021 - 14:46:13
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