Results 21 to 30 of about 7,157,448 (338)
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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Axioms, 2021 In this paper, the notion of θ*-weak contraction is introduced, which is utilized to prove some fixed point results. These results are helpful to give a positive response to certain open question raised by Kannan and Rhoades on the existence of ...
Atiya Perveen +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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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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Convex (α, β)-Generalized Contraction and Its Applications in Matrix Equations
Axioms, 2023 This paper investigates the existence and convergence of solutions for linear and nonlinear matrix equations. This study explores the potential of convex (α,β)-generalized contraction mappings in geodesic spaces, ensuring the existence of solutions for ...
Rahul Shukla, Winter Sinkala
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Invariance property of a five matrix product involving two generalized inverses
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2021 Matrix expressions composed by generalized inverses can generally be written as f(A−1, A−2, . . ., A−k), where A1, A2, . . ., Ak are a family of given matrices of appropriate sizes, and (·)− denotes a generalized inverse of matrix.
Jiang Bo, Tian Yongge
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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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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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Prime decomposition of quadratic matrix polynomials
AIMS Mathematics, 2021 We study the prime decomposition of a quadratic monic matrix polynomial. From the prime decomposition of a quadratic matrix polynomial, we obtain a formula of the general solution to the corresponding second-order differential equation.
Yunbo Tian, Sheng Chen
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