Results 261 to 270 of about 175,846,736 (289)

The complexity of matrix rank and feasible systems of linear equations

Computational Complexity, 1999
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Eric Allender, Robert Beals, Mitsunori Ogihara   +2 more
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On Solvability of Hermitian Solutions to a System of Five Matrix Equations

Mediterranean Journal of Mathematics, 2013
The main results of this paper are the following: (1) Necessary and sufficient conditions for the existence of Hermitian solutions \({X_1}\) and \({X_2}\) of the matrix equations \({A_1}{X_1} = {C_1}\), \({X_1}{B_1} = {C_2}\), \({A_2}{X_2} = {C_3}\), \({X_2}{B_2} = {C_4}\), \({A_3}{X_1}A_3^ * + {A_4}{X_2}A_4^ * = {C_5}\) are given.
Yu, Shao-Wen, Song, Guang-Jing
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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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A Constraint System of Generalized Sylvester Quaternion Matrix Equations

Advances in Applied Clifford Algebras, 2017
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Abdur Rehman, Qing-Wen Wang, Ilyas Ali, Muhammad Akram, M. O. Ahmad   +4 more
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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
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Long-Xuan Jin, Qing-Wen Wang 0001, Lv-Ming Xie   +2 more
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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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Determinantal Representations of Solutions to Systems of Quaternion Matrix Equations

Advances in Applied Clifford Algebras, 2018
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On a Certain System of Matrix Equations

SIAM Review, 1969
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Algebraic Conditions for the Solvability to Some Systems of Matrix Equations

Linear and Multilinear Algebra, 2021
Qing-Wen Wang
exaly