A solution of a tropical linear vector equation
نویسنده
چکیده
A linear vector equation is considered defined in terms of idempotent mathematics. To solve the equation, we apply an approach that is based on the analysis of distances between vectors in idempotent vector spaces and reduces the solution of the equation to that of a tropical optimization problem. Based on the approach, existence and uniqueness conditions are established for the solution, and a general solution to the equation is given. Key-Words: Idempotent vector space, Linear equation, Tropical optimization problem, Existence condition
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ورودعنوان ژورنال:
- CoRR
دوره abs/1212.6107 شماره
صفحات -
تاریخ انتشار 2012