The inversion-free iterative methods for a system of nonlinear matrix equations
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Publication:2957736
DOI10.1080/00207160.2015.1059934zbMath1362.65057OpenAlexW2296532382MaRDI QIDQ2957736
Jia Tang, Na Huang, Chang-Feng Ma
Publication date: 27 January 2017
Published in: International Journal of Computer Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00207160.2015.1059934
convergencenumerical exampleinversion-free iterative algorithmssystem of nonlinear matrix equationsmaximal positive-definite solution
Numerical computation of solutions to systems of equations (65H10) Matrix equations and identities (15A24)
Related Items (6)
On an inversion-free algorithm for the nonlinear matrix problem Xα+A∗X−βA+B∗X−γB=I, ⋮ An efficient inversion-free method for solving the nonlinear matrix equation \(X^p + \sum_{j=1}^ma_j^*X^{-q_j}a_j=Q\) ⋮ The maximal positive definite solution of the nonlinear matrix equation \(X + A^*X^{-1}A+B^*X^{-1}B = I \) ⋮ Quasi gradient-based inversion-free iterative algorithm for solving a class of the nonlinear matrix equations ⋮ Latest inversion-free iterative scheme for solving a pair of nonlinear matrix equations ⋮ A dynamically parameterized inversion-free iteration for a system of nonlinear matrix equation
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