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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, 1986AbstractThe 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, 2018zbMATH 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 MathematicszbMATH 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.openaire +1 more source
On the matrix Riccati equation for linear systems with random gain
IEEE Transactions on Automatic Control, 1976Considered 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, 2023Khosro Sayevand, Masoud Hajarian
exaly
The Solvability of a System of Quaternion Matrix Equations Involving ϕ-Skew-Hermicity
Symmetry, 2022Shaowen Yu, Zhuo-Heng He
exaly
The general solution to a system of real quaternion matrix equations
Computers and Mathematics With Applications, 2005Qing-Wen Wang
exaly
The exact solution of a system of quaternion matrix equations involving η-Hermicity
Applied Mathematics and Computation, 2013exaly

