EKSISTENSI DEKOMPOSISI RANK PADA MATRIKS ATAS ALJABAR MAX-PLUS TERSIMETRI

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

  • Suroto Suroto Jurusan Matematika Universitas Jenderal Soedirman
  • Najmah Istikaanah Jurusan Matematika Universitas Jenderal Soedirman
  • Sri Maryani Jurusan Matematika Universitas Jenderal Soedirman

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

Published
2022-08-14
How to Cite
SUROTO, Suroto; ISTIKAANAH, Najmah; MARYANI, Sri. EKSISTENSI DEKOMPOSISI RANK PADA MATRIKS ATAS ALJABAR MAX-PLUS TERSIMETRI. UNEJ e-Proceeding, [S.l.], p. 326 - 335, aug. 2022. Available at: <https://jurnal.unej.ac.id/index.php/prosiding/article/view/33522>. Date accessed: 03 dec. 2022.