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Perturbation estimates for the nonlinear matrix equation X−A * X q A=Q (0<q<1)

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Abstract

The nonlinear matrix equation X−A * X q A=Q with 0<q<1 is investigated. Two perturbation estimates for the unique positive definite solution of the equation are derived. The theoretical results are illustrated by numerical examples.

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Authors and Affiliations

  1. Department of Mathematics, Heze University, Heze, 274015, Shandong, P.R. China

    Guanjun Jia & Dongjie Gao

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  1. Guanjun Jia
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  2. Dongjie Gao
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Correspondence to Dongjie Gao.

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Jia, G., Gao, D. Perturbation estimates for the nonlinear matrix equation X−A * X q A=Q (0<q<1). J. Appl. Math. Comput. 35, 295–304 (2011). https://doi.org/10.1007/s12190-009-0357-z

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  • DOI: https://doi.org/10.1007/s12190-009-0357-z

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