Title | : | Necessary and Sufficient Conditions for the solution of the linear balanced systems in the symmetrized max plus algebra |
Author | : |
GREGORIA ARIYANTI (1) Dr.rer.nat. Ari Suparwanto, M.Si. (2) Dr. Budi Surodjo, M.Si. (3) |
Date | : | 0 2015 |
Keyword | : | the symmetrized max plus algebra,linear balanced system,negative element the symmetrized max plus algebra,linear balanced system,negative element |
Abstract | : | The system max plus algebra does not have an additive inverse. Therefore, some equations do not have a solution. For example, the equation 3 *x = 2 has no solution since there is no x such that max(3,x)=2,. One way of trying to solve this problem is the extend the max plus algebra to a larger system which will include additive inverse in the same way that the natural numbers were extended to the larger system of integers. The extended system that is larger than max plus means the symmetrized max plus algebra. This paper describes the necessary and sufficient condotion for the solution of the balanced linear system, that is, the linear system over the symmetrized max plus algebra..... |
Group of Knowledge | : | Matematika |
Original Language | : | English |
Level | : | Internasional |
Status | : |
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