Results 31 to 40 of about 7,157,448 (338)

Equivalent resistance of irregular 3 × n Hammock resistor network

open access: yesNantong 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
doaj   +1 more source

Determinantal Representations of General and (Skew-)Hermitian Solutions to the Generalized Sylvester-Type Quaternion Matrix Equation

open access: yesAbstract 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
semanticscholar   +1 more source

On Relationships between a Linear Matrix Equation and Its Four Reduced Equations

open access: yesAxioms, 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
doaj   +1 more source

Lax matrix solution of c=1 Conformal Field Theory [PDF]

open access: yes, 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
core   +5 more sources

Solving reduced biquaternion matrices equation $ \sum\limits_{i = 1}^{k}A_iXB_i = C $ with special structure based on semi-tensor product of matrices

open access: yesAIMS 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
doaj   +1 more source

A Varying-Gain Recurrent Neural Network and Its Application to Solving Online Time-Varying Matrix Equation

open access: yesIEEE 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
semanticscholar   +1 more source

Matrix-equation-based strategies for convection–diffusion equations [PDF]

open access: yes, 2015
We are interested in the numerical solution of nonsymmetric linear systems arising from the discretization of convection–diffusion partial differential equations with separable coefficients, dominant convection and rectangular or parallelepipedal domain.
Davide Palitta, V. Simoncini
semanticscholar   +1 more source

Field Equations of Massless Fields in the New Interpretation of the Matrix Model [PDF]

open access: yes, 2006
Recently, some of the authors have introduced a new interpretation of matrix models in which covariant derivatives on any curved space can be expressed by large-N matrices.
Aoyama   +19 more
core   +3 more sources

Dual Quaternion Matrix Equation AXB = C with Applications

open access: yesSymmetry
Dual 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
semanticscholar   +1 more source

An MSSS-preconditioned matrix equation approach for the time-harmonic elastic wave equation at multiple frequencies

open access: yesComputational Geosciences, 2018
In this work, we present a new numerical framework for the efficient solution of the time-harmonic elastic wave equation at multiple frequencies. We show that multiple frequencies (and multiple right-hand sides) can be incorporated when the discretized ...
M. Baumann   +5 more
semanticscholar   +1 more source

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