Results 31 to 40 of about 7,271,767 (336)
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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AIMS Mathematics, 2022 In this paper, we propose a real vector representation of reduced quaternion matrix and study its properties. By using this real vector representation, Moore-Penrose inverse, and semi-tensor product of matrices, we study some kinds of solutions of ...
Wenxv Ding +3 more
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Multipole matrix elements of Green function of Laplace equation [PDF]
, 2015 Multipole matrix elements of Green function of Laplace equation are calculated. The multipole matrix elements of Green function in electrostatics describe potential on a sphere which is produced by a charge distributed on the surface of a different ...
Górka, Przemysław, Makuch, Karol
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On Relationships between a Linear Matrix Equation and Its Four Reduced Equations
Axioms, 2022 Given the linear matrix equation AXB=C, we partition it into the form A1X11B1+A1X12B2+A2X21B1+A2X22B2=C, and then pre- and post-multiply both sides of the equation by the four orthogonal projectors generated from the coefficient matrices A1, A1, B1, and ...
Bo Jiang, Yongge Tian, Ruixia Yuan
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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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Abstract and Applied Analysis, 2019 In this paper, we derive explicit determinantal representation formulas of general, Hermitian, and skew-Hermitian solutions to the generalized Sylvester matrix equation involving ⁎-Hermicity AXA⁎+BYB⁎=C over the quaternion skew field within the framework
Ivan Kyrchei
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Nonlinear Eigenvalue Approach to Differential Riccati Equations for Contraction Analysis [PDF]
, 2016 In this paper, we extend the eigenvalue method of the algebraic Riccati equation to the differential Riccati equation (DRE) in contraction analysis. One of the main results is showing that solutions to the DRE can be expressed as functions of nonlinear ...
Kawano, Yu, Ohtsuka, Toshiyuki
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Dual Quaternion Matrix Equation AXB = C with Applications
SymmetryDual quaternions have wide applications in automatic differentiation, computer graphics, mechanics, and others. Due to its application in control theory, matrix equation AXB=C has been extensively studied.
Yan Chen, Qing-Wen Wang, Lv-Ming Xie
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IEEE Access, 2018 In mathematics and engineering fields, solving online time-varying matrix equation $P(t)X(t)Q(t)=W(t)$ problem is fundamental and vital. A novel varying-gain recurrent neural network (VG-RNN) is proposed to obtain the online solution of such time ...
Zhijun Zhang +5 more
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