On iterative methods for the quadratic matrix equation with \(M\)-matrix

DOI10.1016/j.amc.2011.08.070zbMath1250.65064OpenAlexW2034816573MaRDI QIDQ426347

Ning Dong, Qiong Tang, Bo Yu, Feng-Hua Wen

Publication date: 11 June 2012

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2011.08.070

zbMATH Keywords

convergenceNewton's method\(M\)-matrixquadratic matrix equationBernoulli's methodprimary solvent

Mathematics Subject Classification ID

Matrix equations and identities (15A24) Iterative numerical methods for linear systems (65F10)

Related Items

A structure-preserving doubling algorithm for solving a class of quadratic matrix equation with \(M\)-matrix ⋮ Some predictor-corrector-type iterative schemes for solving nonsymmetric algebraic Riccati equations arising in transport theory ⋮ Low memory and low complexity iterative schemes for a nonsymmetric algebraic Riccati equation arising from transport theory ⋮ Diagonal update method for a quadratic matrix equation ⋮ Decoupled low-rank iterative methods for a large-scale system of nonlinear matrix equations arising from electron transport of nano materials ⋮ Some accelerated iterative algorithms for solving nonsymmetric algebraic Riccati equations arising in transport theory

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