Results 1 to 10 of about 2,188,246 (287)
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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PENTAGON EQUATION AND MATRIX BIALGEBRAS [PDF]
Communications in Algebra, 2001 We classify coproducts on matrix algebra in terms of solutions to some modification of pentagon equation. The construction of Baaj and Skandalis describing finite dimensional unitary solutions of pentagon equation is extended to the non-unitary case. We establish the relation between Hopf-Galois algebras and solutions to modified pentagon equation.
Davydov, A.
openaire +4 more sources
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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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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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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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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Algebraic Characterizations of Relationships between Different Linear Matrix Functions
Mathematics, 2023 Let f(X1,X2,…,Xk) be a matrix function over the field of complex numbers, where X1,X2,…,Xk are a family of matrices with variable entries. The purpose of this paper is to propose and investigate the relationships between certain linear matrix functions ...
Yongge Tian, Ruixia Yuan
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Equivalent resistance of irregular 3 × n Hammock resistor network
Nantong Daxue xuebao. Ziran kexue ban, 2022 The equivalent resistance of a kind of irregular 3 × n Hammock resistor network is studied by the RT-I theory, in which the third order matrix equation and the third order boundary condition equation are established by Kirchhoff′s law and the branch ...
TAN Zhizhong
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A new approximate inverse preconditioner based on the Vaidya’s maximum spanning tree for matrix equation AXB = C [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2019 We propose a new preconditioned global conjugate gradient (PGL-CG) method for the solution of matrix equation AXB = C, where A and B are sparse Stieltjes matrices. The preconditioner is based on the support graph preconditioners.
K. Rezaei, F. Rahbarnia, F. Toutounian
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