notes on the hermitian positive definite solutions of a matrix equation
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ID: 132073
2014
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Abstract
The nonlinear matrix equation, X-∑i=1mAi*XδiAi=Q, with -1≤δi<0 is investigated. A fixed point theorem in partially ordered sets is proved. And then, by means of this fixed point theorem, the existence of a unique Hermitian positive definite solution for the matrix equation is derived. Some properties of the unique Hermitian positive definite solution are obtained. A residual bound of an approximate solution to the equation is evaluated. The theoretical results are illustrated by numerical examples.
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| Reference Key |
li2014journalnotes
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|---|---|
| Authors | ;Jing Li;Yuhai Zhang |
| Journal | Chemico-biological interactions |
| Year | 2014 |
| DOI |
10.1155/2014/128249
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| URL | |
| Keywords |
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