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Eigenvalue estimates for saddle point matrices of Hermitian and indefinite leading blocks - MaRDI portal

Eigenvalue estimates for saddle point matrices of Hermitian and indefinite leading blocks (Q455854)

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scientific article; zbMATH DE number 6097305
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Eigenvalue estimates for saddle point matrices of Hermitian and indefinite leading blocks
scientific article; zbMATH DE number 6097305

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    Eigenvalue estimates for saddle point matrices of Hermitian and indefinite leading blocks (English)
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    22 October 2012
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    saddle point matrices
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    Hermitian indefiniteness
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    eigenvalue bounds
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    The author determines the eigenvalue bounds for a nonsingular Hermitian matrix with a \(2\times 2\) block decomposition NEWLINE\[NEWLINE \left( \begin{matrix} A_{11} & A_{12} \\ A^*_{12} & A_{22} \\ \end{matrix} \right)\, , NEWLINE\]NEWLINE where \(A_{11}\) and \(A_{22}\) are both Hermitian and indefinite.
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