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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.
Peter Chang-Yi Weng
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Solvability conditions for nonlinear matrix equations
Ukrainian Mathematical Bulletin, 2023Conditions for the existence of solutions of nonlinear matrix equations have been found and a method of their construction has been proposed. As an example of the iterative scheme construction, approximations for the solutions of the nonlinear algebraic matrix Riccati equation and their accuracy errors were determined.
Chuiko, S., Shevtsova, K.
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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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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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On Solutions to the Matrix Nonlinear Schrödinger Equation
Computational Mathematics and Mathematical Physics, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Ψ-stability for nonlinear matrix difference equations
AIP Conference Proceedings, 2021By applying the properties of Kronecker product of matrices, here we develop the Ψ- stability solution of the first order linear and nonlinear matrix difference equations on N.
T. Srinivasa Rao +3 more
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Nonlinear matrix equations involving Kubo–Ando means
Acta Scientiarum Mathematicarum\textit{W. Pusz} and \textit{S. L. Woronowicz} [Rep. Math. Phys. 8, 159--170 (1975; Zbl 0327.46032)] proved that the operator geometric mean is the unique positive definite solution of the Riccati equation \(XA^{-1}X = B\). Since then many mathematicians have studied operator equations involving (weighted) geometric means.
Trung Hoa Dinh +3 more
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Nonlinear computational methods of quadratic matrix equations
2010 International Conference on Computer Application and System Modeling (ICCASM 2010), 2010Motivated by the multi-splitting methods, we present two nonlinear multi-splitting algorithms for solving the quadratic matrix equation (QME). Under suitable conditions we then respectively prove the local linear and quadratic convergence of the two algorithms. Some numerical results are given to show the feasibility and effectiveness of our algorithms.
null Xiao-Lin Lin, null Li Li
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Invariant metrics, contractions and nonlinear matrix equations
Nonlinearity, 2008In this paper we consider the semigroup generated by the self-maps on the open convex cone of positive definite matrices of translations, congruence transformations and matrix inversion that includes symplectic Hamiltonians and show that every member of the semigroup contracts any invariant metric distance inherited from a symmetric gauge function ...
Hosoo Lee, Yongdo Lim
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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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