Results 301 to 310 of about 247,997 (332)

On the solution of the covariance matrix differential equation for singular systems

International Journal of Computer Mathematics, 1998
State space formulation for singular linear stationary random inputs are presented. A covariance matrix differential equation is derived and a new technique for solving this equation using Kronecker product is included. An example is provided to illustrate the applicability of the proposed method.
Masoud Shafiee, Mohsen Razzaghi
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Modified Matrix Factorizations for Solving Systems of Nonlinear Equations

ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 1986
AbstractThe modified Cholesky factorization due to Gill and Murray as well as an adaptation to the case of nonsymmetric LU‐factorizations described in the literature often generate modified Newton directions which are badly scaled. In order to overcome the deficiencies observed a new technique for modifying LU‐factorizations is proposed which avoids ...
Hoy, A., Schwetlick, H.
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Two systems of dual quaternion matrix equations with applications

Computational and Applied Mathematics
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Long-Xuan Jin, Qing-Wen Wang 0001, Lv-Ming Xie   +2 more
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Iterative solution to a class of complex matrix equations and its application in time-varying linear system

Journal of Applied Mathematics and Computation, 2021
Wenli Wang, Caiqin Song, Shi Ji
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On the matrix Riccati equation for linear systems with random gain

IEEE Transactions on Automatic Control, 1976
Considered is the asymptotic property of the discrete-time matrix Riccati equation arising in the optimal control of linear systems with a random gain. The instability and stability conditions are derived in terms of the degree of stability of the state transition matrix.
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The consistency and the general common solution to some quaternion matrix equations

Annals of Functional Analysis, 2023
Xi-Le Xu, Qing‐Wen Wang
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A coupled quaternion matrix equations with applications

Journal of Applied Mathematics and Computation, 2023
Long-Sheng Liu, Shuo Zhang
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An iterative method for symmetric solutions and optimal approximation solution of the system of matrix equations A1XB1 = C1, A2XB2 = C2

Applied Mathematics and Computation, 2006
Ya-Xin Peng, Xiyan Hu, Lei Zhang
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Determinantal Representations of Solutions to Systems of Quaternion Matrix Equations

Advances in Applied Clifford Algebras, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Matrix Algebra and System of Linear Equations

This chapter deals with an elementary introduction to matrix algebra. First, we give a brief introduction to vectors and vector operations, then we discuss basic materials on matrices, determinants, their properties and the solution of linear system of equations.
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