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MASALAH EIGEN DAN EIGENMODE MATRIKS ATAS ALJABAR MIN-PLUS
Barekeng, 2021 Eigen problems and eigenmode are important components related to square matrices. In max-plus algebra, a square matrix can be represented in the form of a graph called a communication graph.
Eka Widia Rahayu +2 more
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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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Primary decompositions of unital locally matrix algebras [PDF]
Bulletin of Mathematical Sciences, 2020 We construct a unital locally matrix algebra of uncountable dimension that (1) does not admit a primary decomposition, (2) has an infinite locally finite Steinitz number. It gives negative answers to questions from [V. M.
Oksana Bezushchak, Bogdana Oliynyk
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Algebraic structure of path-independent quantum control
Physical Review Research, 2022 Path-independent (PI) quantum control has recently been proposed to integrate quantum error correction and quantum control [W.-L. Ma, M. Zhang, Y. Wong, K. Noh, S. Rosenblum, P. Reinhold, R. J. Schoelkopf, and L. Jiang, Phys. Rev. Lett. 125, 110503 (2020)
Wen-Long Ma, Shu-Shen Li, Liang Jiang
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Stats, 2022 Matrix/linear algebra continues bestowing benefits on theoretical and applied statistics, a practice it began decades ago (re Fisher used the word matrix in a 1941 publication), through a myriad of contributions, from recognition of a suite of matrix ...
Daniel A. Griffith
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Functional Identities on Matrix Algebras [PDF]
Algebras and Representation Theory, 2015 20 pages, comments welcome, version 2- applications have been ...
Brešar, Matej, Spenko, Špela
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Robustness of Interval Monge Matrices in Fuzzy Algebra
Mathematics, 2020 Max–min algebra (called also fuzzy algebra) is an extremal algebra with operations maximum and minimum. In this paper, we study the robustness of Monge matrices with inexact data over max–min algebra.
Máté Hireš +2 more
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Perturbations of matrix algebras.
Michigan Mathematical Journal, 1986 Two subalgebras of \({\mathcal M}_ n\), the \(n\times n\) matrices, are close if their unit balls are close in the Hausdorff metric. Several examples of pathological behaviour are given. For example, close algebras need not be isomorphic; they may be isomorphic via a map close to the identity but not be similar; and they may be similar and close, but ...
Choi, Man Duen, Davidson, Kenneth R.
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W1+∞ constraints for the hermitian one-matrix model
Physics Letters B, 2019 We construct the multi-variable realizations of the W1+∞ algebra such that they lead to the W1+∞ n-algebra. Based on our realizations of the W1+∞ algebra, we derive the W1+∞ constraints for the hermitian one-matrix model.
Rui Wang +4 more
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Generalized Matrix Algebras [PDF]
Canadian Journal of Mathematics, 1955 The algebras considered here arose in the investigation of an algebra connected with the orthogonal group. We consider an algebra of dimension mn over a field K of characteristic zero, and possessing a basis {eij} (1 ≤ i ≤ m; 1 ≤ j ≤ n) with the multiplication property1,The field elements ϕij form a matrix Φ = (ϕij) of order n × m.
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