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Characteristic Polynomial and Eigenproblem of Triangular Matrix over Interval Min-Plus Algebra [PDF]

open access: goldJTAM (Jurnal Teori dan Aplikasi Matematika)
A min-plus algebra is a linear algebra over the semiring R_ε', equipped with the operations “"⊕'=min" ” and “⊗=+”. In min-plus algebra, there is the concept of characteristic polynomial obtained from permanent of matrix.
Anita Dwi Rahmawati   +2 more
doaj   +3 more sources

CRAMER’S RULE IN INTERVAL MIN-PLUS ALGEBRA

open access: diamondBarekeng
A min-plus algebra is a set ,  where  is the set of all real numbers, equipped with the minimum  and addition  operations. The system of linear equations  in min-plus algebra can be solved using Cramer's rule.
Siswanto Siswanto, Ade Safira Septiany
doaj   +4 more sources

PERMANENT AND DOMINANT OF MATRIX OVER INTERVAL MIN-PLUS ALGEBRA

open access: diamondBarekeng
A min-plus algebra is a set , where is the set of all real numbers equipped with two binary operations, namely minimum and addition . Every square matrix in min-plus algebra can always be calculated as a permanent and dominant matrix.
Ade Safira Septiany   +2 more
doaj   +4 more sources

Interval min-plus algebraic structure and matrices over interval min-plus algebra

open access: diamondJournal of Physics: Conference Series, 2020
Abstract Max-plus algebra is the set ℝ max
A R Awallia   +2 more
exaly   +3 more sources

Strong Tolerance and Strong Universality of Interval Eigenvectors in a Max-Łukasiewicz Algebra

open access: yesMathematics, 2020
The Łukasiewicz conjunction (sometimes also considered to be a logic of absolute comparison), which is used in multivalued logic and in fuzzy set theory, is one of the most important t-norms.
Martin Gavalec   +2 more
doaj   +1 more source
Some of the next articles are maybe not open access.

Determinant of a matrix over min-plus algebra

Journal of Discrete Mathematical Sciences and Cryptography, 2021
exaly  

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