Results 41 to 50 of about 7,036,812 (378)
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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Matrix-equation-based strategies for convection–diffusion equations [PDF]
, 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
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A general method for solving linear matrix equations of elliptic biquaternions with applications
AIMS Mathematics, 2020 In this study, we obtain the real representations of elliptic biquaternion matrices. Afterwards, with the aid of these representations, we develop a general method to solve the linear matrix equations over the elliptic biquaternion algebra. Also we apply
Kahraman Esen Özen
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Sylvester matrix equation for matrix pencils
Linear Algebra and its Applications, 1996 AbstractWe study a homogeneous linear matrix equation system related to the strict equivalence of matrix pencils. We obtain the dimension of the vector space of its solutions in terms of the invariants of the strict equivalence. We give a characterization of the strict equivalence of matrix pencils by rank tests, and we extend Roth's criterion for the ...
Juan-Miguel Gracia, Ma Asunción Beitia
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Computational 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
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Mathematics, 2020 In this paper, we set up an adequate condition for the presence of a solution of the nonlinear matrix equation. To do so, we prove the existence of fixed points for multi-valued modified F-contractions in the context of complete metric spaces, which ...
Nawab Hussain +3 more
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Positive Definite Solutions of the Nonlinear Matrix Equation $X+A^{\mathrm{H}}\bar{X}^{-1}A=I$ [PDF]
, 2012 This paper is concerned with the positive definite solutions to the matrix equation $X+A^{\mathrm{H}}\bar{X}^{-1}A=I$ where $X$ is the unknown and $A$ is a given complex matrix.
Cai, Guang-Bin, Lam, James, Zhou, Bin
core +2 more sources
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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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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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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