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Numerical methods for a quadratic matrix equation with a nonsingular M-matrix

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Publication:900997
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DOI10.1016/j.aml.2015.08.006zbMath1330.65066OpenAlexW1477539751MaRDI QIDQ900997

Zubair Ahmed, Jinrui Guan, Lin-Zhang Lu

Publication date: 23 December 2015

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2015.08.006

zbMATH Keywords

fixed-point iterationM-matrixnonsymmetric algebraic Riccati equationquadratic matrix equation


Mathematics Subject Classification ID

Matrix equations and identities (15A24)


Related Items

A structure-preserving doubling algorithm for solving a class of quadratic matrix equation with \(M\)-matrix, Manifold expressions of all solutions of the Yang-Baxter-like matrix equation for rank-one matrices, Constructing solutions of the Yang-Baxter-like matrix equation for singular matrices



Cites Work

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  • The autonomous linear quadratic control problem. Theory and numerical solution
  • Fluid models in queueing theory and Wiener-Hopf factorization of Markov chains
  • Nonsymmetric Algebraic Riccati Equations and Wiener--Hopf Factorization for M-Matrices
  • Numerical Solution of Algebraic Riccati Equations
  • On a quadratic matrix equation associated with an M-matrix
  • Iterative Solution of a Nonsymmetric Algebraic Riccati Equation
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