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Abstract
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.
Original language  English 

Title of host publication  Advances in Computer Science: Proc. 6th Europ. Computing Conf. (ECC'12), Prague, Czech Republic, September 2426, 2012. Vol. 5 of Recent Advances in Computer Engineering Series. 
Publisher  WSEAS  World Scientific and Engineering Academy and Society 
Pages  528 стр., 244249 
ISBN (Print)  9781618041265 
State  Published  2012 
Keywords
 Idempotent vector space
 Linear equation
 Tropical optimization problem
 Existence condition
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 1 Oral presentation

A solution of a tropical linear vector equation
Николай Кимович Кривулин (Speaker)
25 Sep 2012Activity: Talk types › Oral presentation