Results 1 to 10 of about 230,006 (191)
Constrained Solutions of a System of Matrix Equations [PDF]
Journal of Applied Mathematics, 2012 We derive the necessary and sufficient conditions of and the expressions for the orthogonal solutions, the symmetric orthogonal solutions, and the skew-symmetric orthogonal solutions of the system of matrix equations AX=B and XC=D, respectively. When the
Qing-Wen Wang, Juan Yu
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Iterative Algorithm for Solving a System of Nonlinear Matrix Equations [PDF]
Journal of Applied Mathematics, 2012 We discuss the positive definite solutions for the system of nonlinear matrix equations and , where , are two positive integers. Some properties of solutions are studied, and the necessary and sufficient conditions for the existence of positive ...
Asmaa M. Al-Dubiban
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Closed-form formula for a classical system of matrix equations
Arab Journal of Basic and Applied Sciences, 2022 Keeping in view the latest development of anti-Hermitian matrix in mind, we construct some closed form formula for a classical system of matrix equations having anti-Hermitian nature in this paper.
Abdur Rehman +4 more
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Iterative Solution to a System of Matrix Equations [PDF]
Abstract and Applied Analysis, 2013 An efficient iterative algorithm is presented to solve a system of linear matrix equations , with real matrices and . By this iterative algorithm, the solvability of the system can be determined automatically.
Yong Lin, Qing-Wen Wang
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On the Hermitian R‐Conjugate Solution of a System of Matrix Equations [PDF]
Journal of Applied Mathematics, 2012 Let R be an n by n nontrivial real symmetric involution matrix, that is, R = R−1 = RT ≠ In. An n × n complex matrix A is termed R‐conjugate if , where denotes the conjugate of A. We give necessary and sufficient conditions for the existence of the Hermitian R‐conjugate solution to the system of complex matrix equations AX = C and XB = D and present an
Chang-Zhou Dong +2 more
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A system of matrix equations and a linear matrix equation over arbitrary regular rings with identity
Linear Algebra and its Applications, 2004 Many problems in systems and control theory require the solution of Sylvester's equation \(AX-YB=C\) or of its generalization \((*)\) \(AXB+CYD=E\). The author studies the couple of matrix equations \((**)\) \(A_1XB_1=C_1,A_2XB_2=C_2\) over an arbitrary regular ring with identity.
Qingwen Wang
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EPr Solution to a System of Matrix Equations
Advances in Linear Algebra & Matrix Theory, 2013 A square complex matrix is called if it can be written in the form with being fixed unitary and being arbitrary matrix in . We give necessary and sufficient conditions for the existence of the solution to the system of complex matrix equation and present an expression of the solution to the system when the solvability conditions are satisfied. In
Changzhou Dong +2 more
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Reduced multibody system transfer matrix method using decoupled hinge equations
International Journal of Mechanical System Dynamics, 2021 In the multibody system transfer matrix method (MSTMM), the transfer matrix of body elements may be directly obtained from kinematic and kinetic equations.
Xue Rui, Dieter Bestle
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On stability of motion of satellite [PDF]
E3S Web of Conferences, 2023 In this paper we consider the translational and rotational motion of satellites around the Earth. First, we study the motion of an arrow-type satellite. We consider the system of equations of motion in the first approximation.
Titova Tatiana
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The general solution to a system of real quaternion matrix equations
Computers and Mathematics With Applications, 2005 Qing-Wen Wang
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