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Journal : UNEJ e-Proceeding

EKSISTENSI DEKOMPOSISI RANK PADA MATRIKS ATAS ALJABAR MAX-PLUS TERSIMETRI Suroto Suroto; Najmah Istikaanah; Sri Maryani
UNEJ e-Proceeding 2022: E-Prosiding Seminar Nasional Matematika, Geometri, Statistika, dan Komputasi (SeNa-MaGeStiK)
Publisher : UPT Penerbitan Universitas Jember

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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