Results 271 to 280 of about 74,200 (309)
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Solvability for a Nonlinear Matrix Equation
Bulletin of the Iranian Mathematical Society, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Li, J., Zhang, Y. H.
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On the extreme solutions of an nonlinear matrix equation
2007 American Control Conference, 2007A quadratically convergent algorithm (QCA) for solving the extreme solutions of the matrix equation AX2+BX+C=0 was proposed by Bini and Meini. In this paper, we present a new derivation for this algorithm and a new proof for the convergence theory by using a structure-preserving transformation of a matrix pencil.
Xiaoxia Guo, Zhijian Ji
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Solvability for Two Forms of Nonlinear Matrix Equations
Bulletin of the Iranian Mathematical Society, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chengbo Zhai, Zhixiang Jin
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Research on a Class of Nonlinear Matrix Equation
2014In this paper, the nonlinear matrix equation \(X^{r}+\sum\limits_{i=1}^{m}A_{i}^{\ast}X^{\delta_{i}}A_{i}\) = Q is discussed. We propose the Newton iteration method for obtaining the Hermite positive definite solution of this equation. And a numerical example is given to identify the efficiency of the results obtained.
Jiating Fang +3 more
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The Investigation on Two Kinds of Nonlinear Matrix Equations
Bulletin of the Malaysian Mathematical Sciences Society, 2018The authors consider the nonlinear matrix equations \(X+\sum _{i=1}^mB_i^*X^{t_i}B_i=I ...
Li, Jing, Zhang, Yuhai
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On positive definite solution of a nonlinear matrix equation
Numerical Linear Algebra with Applications, 2006AbstractIn this paper, some necessary and sufficient conditions for the existence of the positive definite solutions for the matrix equationX+A*X−αA=Qwith α ∈ (0, ∞) are given. Iterative methods to obtain the positive definite solutions are established and the rates of convergence of the considered methods are obtained. Copyright © 2006 John Wiley &
Zhen-Yun Peng, Salah M. El-Sayed
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Solving two generalized nonlinear matrix equations
Journal of Applied Mathematics and Computing, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On the Solution of a Nonlinear Matrix Equation Arising in Queueing Problems
SIAM Journal on Matrix Analysis and Applications, 1996The paper presents a new algorithm for computing the solution of a matrix equation arising in a wide class of queueing problems. The algorithm which under mild conditions generates a sequence of matrices converging quadratically, can be fully described in terms of simple operations between matrix power series, i.e., power series in \(z\) having matrix ...
BINI, DARIO ANDREA, MEINI, BEATRICE
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On an Iteration Method for Solving a Class of Nonlinear Matrix Equations
SIAM Journal on Matrix Analysis and Applications, 2002zbMATH Open Web Interface contents unavailable due to conflicting licenses.
El-Sayed, S.M., Ran, A.C.M.
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A further study on a nonlinear matrix equation
Japan Journal of Industrial and Applied Mathematics, 2020The authors consider the nonlinear matrix equation \(X^p = R + M^T(X^{-1}+B)^{-1}M,\) where \(p\) is a positive integer, \(M\) is an \(n\times n\) real matrix and \(R\) and \(B\) are symmetric positive semidefinite matrices. For \(p=1\), this is a simplified symmetric form of the discrete-time algebraic Riccati equation and may be solved by an ...
Meng, Jie +3 more
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