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Journal of Inequalities and Applications, 2016 In this paper, we present a direct method to solve the least-squares Hermitian problem of the complex matrix equation ( A X B , C X D ) = ( E , F ) $(AXB,CXD)=(E,F)$ with complex arbitrary coefficient matrices A, B, C, D and the right-hand side E, F ...
Peng Wang, Shifang Yuan, Xiangyun Xie
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A Diagrammatic Equation for Oriented Planar Graphs [PDF]
, 2010 In this paper we introduce a diagrammatic equation for the planar sector of square non hermitian random matrix models strongly reminiscent of Polchinski's equation in quantum field theory.
Ambjorn +27 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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Determination of stoichiometric coefficients by the matrix method [PDF]
Hemijska Industrija, 2007 The problem of calculating stoichiometric coefficients in a chemical equation can be solved by standard methods and the method of multidimensional vector space, but good knowledge of vector algebra is required.
Tadić Goran S. +3 more
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Bidifferential Calculus Approach to AKNS Hierarchies and Their Solutions [PDF]
, 2010 We express AKNS hierarchies, admitting reductions to matrix NLS and matrix mKdV hierarchies, in terms of a bidifferential graded algebra. Application of a universal result in this framework quickly generates an infinite family of exact solutions ...
Dimakis, Aristophanes +1 more
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Finite difference method application in design of foundation girder of variable cross-section loaded on ends [PDF]
Facta Universitatis. Series: Architecture and Civil Engineering, 2008 Deflection of foundation girder supported by the deformable base has been defined by the system of differential equations, where the differential equation of the elastic line of the girder is of the fourth order.
Prolović Verka, Bonić Zoran
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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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Some non-commuting solutions of the Yang-Baxter-like matrix equation
Open Mathematics, 2020 Let A be a square matrix satisfying A4=A{A}^{4}=A. We solve the Yang-Baxter-like matrix equation AXA=XAXAXA=XAX to find some solutions, based on analysis of the characteristic polynomial of A and its eigenvalues. We divide the problem into small cases so
Zhou Duan-Mei, Vu Hong-Quang
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Lax matrix solution of c=1 Conformal Field Theory [PDF]
, 2014 To a correlation function in a two-dimensional conformal field theory with the central charge $c=1$, we associate a matrix differential equation $\Psi' = L \Psi$, where the Lax matrix $L$ is a matrix square root of the energy-momentum tensor.
Eynard, Bertrand, Ribault, Sylvain
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Matrix iteration algorithms for solving the generalized Lyapunov matrix equation
Advances in Difference Equations, 2021 In this paper, we first recall some well-known results on the solvability of the generalized Lyapunov equation and rewrite this equation into the generalized Stein equation by using Cayley transformation.
Juan Zhang, Huihui Kang, Shifeng Li
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