Results 11 to 20 of about 374,863 (314)
A New Solution to the Matrix Equation X−AX¯B=C [PDF]
The Scientific World Journal, 2014 We investigate the matrix equation X−AX¯B=C. For convenience, the matrix equation X−AX¯B=C is named as Kalman-Yakubovich-conjugate matrix equation. The explicit solution is constructed when the above matrix equation has unique solution. And this solution
Caiqin Song
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On A Matrix Hypergeometric Differential Equation
مجلة العلوم البحتة والتطبيقية, 2021 In this paper we consider a matrix Hypergeometric differential equation, which are special matrix functions and solution of a specific second order linear differential equation.
Salah Hamd +2 more
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AIMS Mathematics, 2022 In this paper, we consider the common Re-nonnegative definite (Re-nnd) and Re-positive definite (Re-pd) solutions to a pair of linear matrix equations $ A_1XA_1^\ast = C_1, \ A_2XA_2^\ast = C_2 $ and present some necessary and sufficient conditions for ...
Yinlan Chen, Lina Liu
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On spectral numerical method for variable-order partial differential equations
AIMS Mathematics, 2022 In this research article, we develop a powerful algorithm for numerical solutions to variable-order partial differential equations (PDEs). For the said method, we utilize properties of shifted Legendre polynomials to establish some operational matrices ...
Kamal Shah +3 more
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Minimal Rank Properties of Outer Inverses with Prescribed Range and Null Space
Mathematics, 2023 The purpose of this paper is to investigate solvability of systems of constrained matrix equations in the form of constrained minimization problems.
Dijana Mosić +2 more
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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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AIMS Mathematics, 2022 In this paper, we propose an efficient method for some special solutions of the quaternion matrix equation AXB+CYD=E. By integrating real representation of a quaternion matrix with H-representation, we investigate the minimal norm least squares solution ...
Anli Wei +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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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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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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