Results 1 to 10 of about 1,700,750 (206)
All Solutions of the Yang–Baxter-Like Matrix Equation for Nilpotent Matrices of Index Two
Complexity, 2020 Let A be a nilpotent matrix of index two, and consider the Yang–Baxter-like matrix equation AXA=XAX. We first obtain a system of matrix equations of smaller sizes to find all the solutions of the original matrix equation.
Duanmei Zhou, Jiawen Ding
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Index rank-$k$ numerical range of matrices [PDF]
Journal of Mahani Mathematical Research, 2023 We introduce the $\alpha-$higher rank form of the matrix numerical range, which is a special case of the matrix polynomial version of higher rank numerical range.
Sharifeh Rezagholi, Rouholah Yasini
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Математичні Студії, 2021 We investigate a few special decompositions in arbitrary rings and matrix rings over indecomposable rings into nilpotent and idempotent elements. Moreover, we also define and study the nilpotent sum trace number of nilpotent matrices over an arbitrary ...
P.V. Danchev
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Study Some Properties of a Circulant Matrix
Tikrit Journal of Pure Science, 2023 The aim of this paper is to study the properties of idempotent, nilpotent and stability to a circulant matrix which generated by the first row, finally we showed the relation between this properties with eigenvalues of this matrix.
Akram Salim Mohammed
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Reduction of system of partial derivatives with nilpotent matrix
Lietuvos Matematikos Rinkinys, 2000 In this paper we explain the method of squaring of the partial derivatives system with nilpotent matrix into the system with simpler matrix next to the solving function.
Donatas Jurgaitis +1 more
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Chimera state in coupled map lattice of matrices
Lietuvos Matematikos Rinkinys, 2021 In recent years, a lot of research has focused on understanding the behavior of when synchronous and asynchronous phases occur, that is, the existence of chimera states in various networks.
Kotryna Mačernytė, Rasa Šmidtaitė
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Zero-sum triangles for involutory, idempotent, nilpotent and unipotent matrices
Results in Applied Mathematics, 2022 In some matrix formations, factorizations and transformations, we need special matrices with some properties and we wish that such matrices should be easily and simply generated and of integers.
Pengwei Hao, Chao Zhang, Huahan Hao
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The Enumeration of Jordan′s Normal Form of k-nilpotent Matrices
Journal of Harbin University of Science and Technology, 2019 As a kind of special matrices, the nilpotent matrices has good properties. In this paper, we mainly discuss the enumeration problem of the Jordan′s normal form of 4-nilpotent matrix.
CHEN Jian-da, WANG Ping, ZHANG Lu
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On Cauchy problem for Euler–Poisson–Darboux system with nilpotent matrix coefficient
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2012 The solution of Cauchy problem for the system of Euler–Poisson–Darboux equations with nilpotent matrix coefficient of power m is obtained by the Riemann method. The Hadamard well-posedness theorem for the Cauchy problem solution is formulated.
E. A. Maksimova
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Free products of cyclic groups in groups of infinite unitriangular matrices
Математичні Студії, 2023 Groups of infinite unitriangular matrices over associative unitary rings are considered. These groups naturally act on infinite dimensional free modules over underlying rings. They are profinite in case underlying rings are finite.
A. Oliynyk
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