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Necessary and sufficient conditions for the existence of positive definite solutions of the matrix equation<i>X</i>+<i>A</i><sup>T</sup><i>X</i><sup>−2</sup><i>A</i>=<i>I</i> - MaRDI portal

Necessary and sufficient conditions for the existence of positive definite solutions of the matrix equation<i>X</i>+<i>A</i><sup>T</sup><i>X</i><sup>−2</sup><i>A</i>=<i>I</i> (Q5466769)

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scientific article; zbMATH DE number 2198792
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English
Necessary and sufficient conditions for the existence of positive definite solutions of the matrix equation<i>X</i>+<i>A</i><sup>T</sup><i>X</i><sup>−2</sup><i>A</i>=<i>I</i>
scientific article; zbMATH DE number 2198792

    Statements

    Necessary and sufficient conditions for the existence of positive definite solutions of the matrix equation<i>X</i>+<i>A</i><sup>T</sup><i>X</i><sup>−2</sup><i>A</i>=<i>I</i> (English)
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    25 August 2005
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    matrix equation
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    matrix decomposition
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    positive definite solution
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    finite-difference approximation
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    elliptic differential equation
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