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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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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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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   +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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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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Solving system of nonlinear matrix equations over Hermitian positive definite matrices

Linear and Multilinear Algebra, 2023
Khosro Sayevand, Masoud Hajarian
exaly  

The general solution to a system of real quaternion matrix equations

Computers and Mathematics With Applications, 2005
Qing-Wen Wang
exaly  

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