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- W2433121447 abstract "In this paper we investigate the nonlinear matrix equation X+ATX−1A=P, for the existence of positive definite solutions. Bounds for ∥XL−1∥ and ∥X−1∥ are derived where XL is the maximal solution and X is any other positive definite solution of this matrix equation. A perturbation estimate for the maximal solution and an error bound for approximate solutions are derived. A numerical example is given to illustrate the reliability of the obtained results." @default.
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- W2433121447 date "2016-10-01" @default.
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- W2433121447 title "On the perturbation estimates of the maximal solution for the matrix equation <mml:math altimg=si3.gif overflow=scroll xmlns:xocs=http://www.elsevier.com/xml/xocs/dtd xmlns:xs=http://www.w3.org/2001/XMLSchema xmlns:xsi=http://www.w3.org/2001/XMLSchema-instance xmlns=http://www.elsevier.com/xml/ja/dtd xmlns:ja=http://www.elsevier.com/xml/ja/dtd xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:tb=http://www.elsevier.com/xml/common/table/dtd xmlns:sb=http://www.elsevier.com/…" @default.
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- W2433121447 doi "https://doi.org/10.1016/j.joems.2016.04.004" @default.
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