Results 11 to 20 of about 7,036,812 (378)
A Sylvester-Type Matrix Equation over the Hamilton Quaternions with an Application [PDF]
Mathematics, 2022 We derive the solvability conditions and a formula of a general solution to a Sylvester-type matrix equation over Hamilton quaternions. As an application, we investigate the necessary and sufficient conditions for the solvability of the quaternion matrix
Long-Sheng Liu +2 more
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On the Yang-Baxter-like matrix equation for rank-two matrices
Open Mathematics, 2017 Let A = PQT, where P and Q are two n × 2 complex matrices of full column rank such that QTP is singular. We solve the quadratic matrix equation AXA = XAX.
Zhou Duanmei, Chen Guoliang, Ding Jiu
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An Exact Solution to a Quaternion Matrix Equation with an Application
Symmetry, 2022 In this paper, we establish the solvability conditions and the formula of the general solution to a Sylvester-like quaternion matrix equation. As an application, we give some necessary and sufficient conditions for a system of quaternion matrix equations
Long-Sheng Liu +3 more
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Analytic solution for the lightning current induced mutually coupled resistive filament wire model
AIMS Mathematics, 2023 When a lightning current flows between the lightning entry and exit points of a structure, the lightning current density varies in different parts of the structure depending on the shape of the structure and material variance.
Joonwoo Park, Raechoong Kang
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On the Convergence of the Randomized Block Kaczmarz Algorithm for Solving a Matrix Equation
Mathematics, 2023 A randomized block Kaczmarz method and a randomized extended block Kaczmarz method are proposed for solving the matrix equation AXB=C, where the matrices A and B may be full-rank or rank-deficient.
Lili Xing, Wendi Bao, Weiguo Li
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Fermat's and Catalan's equations over $ M_2(\mathbb{Z}) $
AIMS Mathematics, 2023 Let $ A = \begin{pmatrix} a & b \\ c & d \end{pmatrix}\in M_2\left(\mathbb{Z}\right) $ be a given matrix such that $ bc\neq0 $ and let $ C(A) = \{B\in M_2(\mathbb{Z}): AB = BA\} $.
Hongjian Li , Pingzhi Yuan
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AIMS Mathematics, 2022 In this paper, the least-squares solutions to the linear matrix equation $ A^{\ast}XB+B^{\ast}X^{\ast}A = D $ are discussed. By using the canonical correlation decomposition (CCD) of a pair of matrices, the general representation of the least-squares ...
Huiting Zhang +3 more
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Matrix Equation Techniques for Certain Evolutionary Partial Differential Equations [PDF]
Journal of Scientific Computing, 2019 We show that the discrete operator stemming from time-space discretization of evolutionary partial differential equations can be represented in terms of a single Sylvester matrix equation.
D. Palitta
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A unified treatment for the restricted solutions of the matrix equation $AXB=C$
AIMS Mathematics, 2020 In this paper, the Hermitian, skew-Hermitian, Re-nonnegative definite, Re-positive definite, Re-nonnegative definite least-rank and Re-positive definite least-rank solutions of the matrix equation $AXB= C$ are considered.
Jiao Xu +4 more
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Shifted Jacobi collocation scheme for multidimensional time-fractional order telegraph equation [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2020 We propose a numerical scheme to solve a general class of time-fractional order telegraph equation in multidimensions using collocation points nodes and approximating the solution using double shifted Jacobi polynomials.
R.M. Hafez, Y.H. Youssri
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