On the nonlinear matrix equation \(X+A*X - qA=Q\) \((q\geq 1)\)

DOI10.1016/j.mcm.2008.10.009zbMath1165.15302OpenAlexW2036489589MaRDI QIDQ2390047

Xue-Feng Duan, An-Ping Liao

Publication date: 20 July 2009

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mcm.2008.10.009

zbMATH Keywords

error estimationiterative methodnonlinear matrix equationpositive definite solution

Mathematics Subject Classification ID

Matrix equations and identities (15A24)

Related Items (11)

Investigation of the existence and uniqueness of extremal and positive definite solutions of nonlinear matrix equations ⋮ An efficient algorithm for the reflexive solution of the quaternion matrix equation \(AXB + CX^HD = F\) ⋮ On the perturbation estimates of the maximal solution for the matrix equation \(X + A^T \sqrt{X^{- 1}} A = P\) ⋮ Unnamed Item ⋮ Some properties of the nonlinear matrix equation \(X^s + A^* X^{-t} A = Q\) ⋮ Solutions and perturbation analysis for the nonlinear matrix equation \(X + \sum^m_{i=1} A^*_i X^{-1} A_i = I\) ⋮ Positive definite solution of the matrix equation \(X = Q - A{^*}X^{-1}A + B{^*}X^{- 1}B\) via Bhaskar-Lakshmikantham fixed point theorem ⋮ Thompson metric method for solving a class of nonlinear matrix equation ⋮ On Hermitian positive definite solutions of a nonlinear matrix equation ⋮ Iterative algorithm for solving a class of quaternion matrix equation over the generalized \((P, Q)\)-reflexive matrices ⋮ On the matrix equation arising in an interpolation problem

Cites Work

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• Analysis 2
• Matrix inequalities
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