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Bound on the minimum eigenvalue of \(H\)-matrices involving Hadamard products - MaRDI portal

Bound on the minimum eigenvalue of \(H\)-matrices involving Hadamard products (Q895920)

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scientific article; zbMATH DE number 6519773
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Bound on the minimum eigenvalue of \(H\)-matrices involving Hadamard products
scientific article; zbMATH DE number 6519773

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    Bound on the minimum eigenvalue of \(H\)-matrices involving Hadamard products (English)
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    11 December 2015
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    Summary: We present a new lower bound on the minimum eigenvalue of \(H\)-matrices involving Hadamard products \(\tau(A_1^{(\alpha_1)} \circ \cdots \circ A_m^{(\alpha_m)})\), and we show that our lower bound is larger than the lower bound \(\prod_{k=1}^m[\tau(A_k)]^{\alpha_k}\). Three examples verify our result.
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