The structure-preserving doubling algorithms for positive definite solution to a system of nonlinear matrix equations

DOI10.1080/03081087.2017.1329270zbMath1387.65038OpenAlexW2614361493MaRDI QIDQ4640098

Na Huang, Chang-Feng Ma

Publication date: 16 May 2018

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03081087.2017.1329270

zbMATH Keywords

convergence analysisnumerical examplespositive definite solutionsystem of nonlinear matrix equationsstructure-preserving doubling algorithm

Mathematics Subject Classification ID

Related Items (6)

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 structure-preserving doubling algorithm and convergence analysis for a nonlinear matrix equation ⋮ 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 ⋮ Decoupled low-rank iterative methods for a large-scale system of nonlinear matrix equations arising from electron transport of nano materials ⋮ SOME ITERATIVE ALGORITHMS FOR POSITIVE DEFINITE SOLUTION TO NONLINEAR MATRIX EQUATIONS

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