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A new criterion for assessing discriminant validity in variance-based structural equation modeling
Discriminant validity assessment has become a generally accepted prerequisite for analyzing relationships between latent variables. For variance-based structural equation modeling, such as partial least squares, the Fornell-Larcker criterion and the ...
Christian M Ringle+2 more
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On Hermitian solutions of the reduced biquaternion matrix equation (AXB,CXD) = (E,G)
Linear and multilinear algebra, 2018This paper aims to consider the Hermitian solutions of reduced biquaternion matrix equation where X is an unknown reduced biquaternion Hermitian matrix, and A, B, C, D, E, G are known reduced biquaternion matrices with suitable size.
Shifang Yuan, Yong Tian, Ming-Zhao Li
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Commuting Solutions of a Quadratic Matrix Equation for Nilpotent Matrices
, 2018We solve the quadratic matrix equation AXA = XAX with a given nilpotent matrix A, to find all commuting solutions.
Qixiang Dong, Jiu Ding, Qianglian Huang
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Fully fuzzy Sylvester matrix equation
Journal of Intelligent & Fuzzy Systems, 2015The Sylvester equation arises in many application areas, for instance process and system control, and in the fuzzy setting, solution of this equation has been considered only in the case when the right-hand side matrix is a fuzzy matrix.
K. Dookhitram+3 more
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Matrix Functions and Matrix Equations
2015Matrix functions and matrix equations are widely used in science, engineering and social sciences due to the succinct and insightful way in which they allow problems to be formulated and solutions to be expressed.
Weiguo Gao, Zhaojun Bai, Yangfeng Su
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Polynomial Solution of Sylvester Matrix Equation
, 2015LetMn(K) (resp. M(n;m)(K)) be the ring of all square n n (resp. of all rectangular n m ) matrices with entries from a eld K. Let A 2 Mn(K), B 2 Mm(K) and C 2 M(n;m)(K). The Sylvester matrix equation (SME)
M. Charkani, S. Bouarga, Sylvester The
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The American Mathematical Monthly, 1957
(1957). On Certain Matrix Equations. The American Mathematical Monthly: Vol. 64, No. 8P1, pp. 573-576.
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(1957). On Certain Matrix Equations. The American Mathematical Monthly: Vol. 64, No. 8P1, pp. 573-576.
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Journal of Applied and Industrial Mathematics, 2008
This article is devoted to the theory and applications of matrix operator equations in normed spaces. We describe in detail the general properties of matrix operators and their representing matrices. As the indexing set we take an arbitrary countable set.
M. M. Lavrent’ev+2 more
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This article is devoted to the theory and applications of matrix operator equations in normed spaces. We describe in detail the general properties of matrix operators and their representing matrices. As the indexing set we take an arbitrary countable set.
M. M. Lavrent’ev+2 more
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Further Solutions of a Yang-Baxter-like Matrix Equation
, 2013The Yang-Baxter-like matrix equation AXA = XAX is reconsidered, and an infinite number of solutions that commute with any given complex square matrix A are found.
Jiu Ding, Chenhua Zhang, N. Rhee
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On the Lyapunov matrix equation
IEEE Transactions on Automatic Control, 1980In this paper the inequality which is satisfied by the determinant of the solution of the Lyapunov matrix equation A'Q + QA = - D is presented. The result makes possible a lower estimate of product eigenvalues of the matrix Q and dependence from eigenvalues of the matrices A and D .
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