Results 21 to 30 of about 374,863 (314)
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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Admissible multivalued hybrid $\mathcal{Z}$-contractions with applications
AIMS Mathematics, 2021 In this paper, we introduce new concepts, admissible multivalued hybrid $\mathcal{Z}$-contractions and multivalued hybrid $\mathcal{Z}$-contractions in the framework of $b$-metric spaces and establish sufficient conditions for existence of fixed points ...
Monairah Alansari +3 more
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Constrained Matrix Sylvester Equations [PDF]
SIAM Journal on Matrix Analysis and Applications, 1992 Etant données les matrices \(A(n\times n)\), \(B(n\times p)\), \(C(m\times n)\), \(F((n-m)\times (n-u))\), le problème est de déterminer les matrices \(L((n-m)\times m)\) et \(T((u-m)\times n)\) telles que \(TA-FT=LC\) et \(TB=0\). Les A. établissent des conditions d'existence des solutions ainsi qu'un algorithme de calcul.
Barlow, Jewel B. +2 more
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A simple method for solving matrix equations $ AXB = D $ and $ GXH = C $
AIMS Mathematics, 2021 A simple method to solve the common solution to the pair of linear matrix equations $ AXB = D $ and $ GXH = C $ is introduced. Some necessary and sufficient conditions for the existence of a common solution, and two expressions for the general common ...
Huiting Zhang +3 more
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A Sylvester-Type Matrix Equation over the Hamilton Quaternions with an Application
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 Linear Matrix Equations [PDF]
Canadian Mathematical Bulletin, 1980 AbstractSome results from the theory of minimization of vector quadratic forms (subjected to linear restrictions) are used to obtain particular solutions to the usual types of linear matrix equations. An answer to a question raised by Greville [1] is supplied.
Scobey, P., Kabe, D. G.
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