Abstract
We show that the perturbation estimate for the matrix equation X−A ∗ X q A=Q (0<q<1), due to G. Jia and D. Cao, published in this journal, is wrong.
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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)
Gao, D.J., Zhang, Y.H.: Hermitian positive definite solutions of matrix equation X−A ∗ X q A=Q (q>0). J. Numer. Math. Appl. 29, 73–80 (2007) (in Chinese)
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Berzig, M. Comment to: Perturbation estimates for the nonlinear matrix equation X−A ∗ X q A=Q (0<q<1) by G. Jia and D. Gao. J. Appl. Math. Comput. 41, 501–503 (2013). https://doi.org/10.1007/s12190-012-0593-5
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DOI: https://doi.org/10.1007/s12190-012-0593-5