EKSISTENSI DEKOMPOSISI RANK PADA MATRIKS ATAS ALJABAR MAX-PLUS TERSIMETRI

(The Existence of Rank-Decomposition in Matrix over the Symmetrized Max-Plus Algebra)

Abstract

In this paper, we discuss the rank-decomposition in the symmetrized max-plus algebraic matrix. The existence of rank decomposition is shown using minor rank in the symmetrized max-plus algebra and a link among symmetrized max-plus algebra and conventional algebra. The result is a rank-decomposition in symmetrized max-plus algebraic matrix exists. Furthermore, the rank-decomposition is not unique.

Keywords: Existence, link, rank decomposition, symmetrized max-plus algebra