On positive definite solutions of the matrix equation \(X + A^* X^{-q} A = Q(0 < q \leq 1)\)
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Publication:1936069
DOI10.11650/twjm/1500406740zbMath1383.15015OpenAlexW4230271915MaRDI QIDQ1936069
Tiexiang Li, Xiao-Yan Yin, San-Yang Liu
Publication date: 21 February 2013
Published in: Taiwanese Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://projecteuclid.org/euclid.twjm/1500406740
Matrix equations and identities (15A24) Iterative numerical methods for linear systems (65F10) Numerical computation of solutions to single equations (65H05)
Related Items (3)
Solvability for a nonlinear matrix equation ⋮ Solutions and improved perturbation analysis for the matrix equation \(X-A^\ast X^{-p}A=Q(p>0)\) ⋮ Perturbation analysis of the nonlinear matrix equation \(X - \sum_{i = 1}^m A_i^* X^{p i} A_i = Q\)
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