Results 1 to 10 of about 38,806 (31)

CRAMER’S RULE IN INTERVAL MIN-PLUS ALGEBRA [PDF]

Barekeng
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 [PDF]

Barekeng
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, Siswanto Siswanto, Vika Yugi Kurniawan   +2 more
doaj   +4 more sources

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

JTAM (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, Siswanto Siswanto, Supriyadi Wibowo   +2 more
doaj   +2 more sources

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

Journal of Physics: Conference Series, 2020
Abstract Max-plus algebra is the set ℝ max
A R Awallia, null Siswanto, V Y Kurniawan   +2 more
openaire   +1 more source

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

Mathematics, 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, Zuzana Němcová, Ján Plavka   +2 more
doaj   +1 more source

The level set method for the two-sided eigenproblem [PDF]

, 2011
We consider the max-plus analogue of the eigenproblem for matrix pencils Ax=lambda Bx. We show that the spectrum of (A,B) (i.e., the set of possible values of lambda), which is a finite union of intervals, can be computed in pseudo-polynomial number of ...
B De Schutter, G Cohen, G Olsder, GL Litvinov, H Bjorklund, J Cochet-Terrasson, J Gunawardena, JJ McDonald, M Akian, M Akian, M Akian, M Akian, M Akian, M Develin, P Binding, P Butkovič, R Nussbaum, RA Cuninghame-Green, RA Cuninghame-Green, RH Möhring, S Gaubert, S Gaubert, S Gaubert, S Gaubert, S Sergeev, S Sergeev, Sergeĭ Sergeev, SM Burns, Stéphane Gaubert, TM Liggett, U Zwick, V Mehrmann, X Allamigeon   +32 more
core   +4 more sources

X-simple image eigencones of tropical matrices [PDF]

, 2016
We investigate max-algebraic (tropical) one-sided systems $A\otimes x=b$ where $b$ is an eigenvector and $x$ lies in an interval $X$. A matrix $A$ is said to have $X$-simple image eigencone associated with an eigenvalue $\lambda$, if any eigenvector $x ...
Plavka, Jan, Sergeev, Sergei
core   +2 more sources

Linear Systems over Join-Blank Algebras [PDF]

, 2017
A central problem of linear algebra is solving linear systems. Regarding linear systems as equations over general semirings (V,otimes,oplus,0,1) instead of rings or fields makes traditional approaches impossible.
Jananthan, Hayden, Kepner, Jeremy, Kim, Suna   +2 more
core   +2 more sources

Controlled Loewner-Kufarev Equation Embedded into the Universal Grassmannian [PDF]

, 2020
We introduce the class of controlled Loewner-Kufarev equations and consider aspects of their algebraic nature. We lift the solution of such a controlled equation to the (Sato)-Segal-Wilson Grassmannian, and discuss its relation with the tau-function.
Amaba, Takafumi, Friedrich, Roland
core   +3 more sources

Meander graphs and Frobenius Seaweed Lie algebras [PDF]

, 2011
The index of a seaweed Lie algebra can be computed from its associated meander graph. We examine this graph in several ways with a goal of determining families of Frobenius (index zero) seaweed algebras.
Dergachev, Gerstenhaber, Panyushev, Stolin, Tauvel, Èlashvili, Èlashvili   +6 more
core   +3 more sources