Ultradiscrete sine-Gordon Equation over Symmetrized Max-Plus Algebra, and Noncommutative Discrete and Ultradiscrete sine-Gordon Equations [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2013 Ultradiscretization with negative values is a long-standing problem and several attempts have been made to solve it. Among others, we focus on the symmetrized max-plus algebra, with which we ultradiscretize the discrete sine-Gordon equation.
Kenichi Kondo
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Eigenvalue decomposition of a symmetric matrix over the symmetrized max-plus algebra
Desimal, 2021 This paper discusses topics in the symmetrized max-plus algebra. In this study, it will be shown the existence of eigenvalue decomposition of a symmetric matrix over symmetrized max-plus algebra. Eigenvalue decomposition is shown by using a function that
Suroto Suroto
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A NOTE ON THE SOLUTION OF THE CHARACTERISTIC EQUATION OVER THE SYMMETRIZED MAX-PLUS ALGEBRA
Barekeng, 2022 The symmetrized max-plus algebra is an extension of max-plus algebra. One of the problems in the symmetrized max-plus algebra is determining the eigenvalues of a matrix.
Gregoria Ariyanti
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A Note on Eigenvalue of Matrices over The Symmetrized Max-Plus Algebra
Journal of Physics: Conference Series, 2021 Abstract Max-plus algebra is the structure that doesn’t have an inverse of additive. Therefore, there exists an equation that doesn’t have a solution. For example, equation 3 ®x=2 has no solution because there is no x such that max(3,x) = 2.
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A note on linearly independence over the symmetrized max-plus algebra
International Journal of Algebra, 2018 Gregoria Ariyanti +2 more
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The minimizing vector theorem in symmetrized max-plus algebra
, 2017 28 ...
Özel, Cenap +3 more
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Applications of Topological Data Analysis in Oncology. [PDF]
Front Artif Intell, 2021 Bukkuri A, Andor N, Darcy IK.
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Self-Bayesian aberration removal via constraints for ultracold atom microscopy. [PDF]
Phys Rev Res, 2021 Altuntaş E, Spielman IB.
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Two-parameter Hong-Ou-Mandel dip. [PDF]
Sci Rep, 2019 Yang Y, Xu L, Giovannetti V.
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Tan's Epsilon-Determinant and Ranks of Matrices over Semirings. [PDF]
Int Sch Res Notices, 2015 Mohindru P, Pereira R.
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