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Subdirect sums of \(P(P_0)\)-matrices and totally nonnegative matrices - MaRDI portal

Subdirect sums of \(P(P_0)\)-matrices and totally nonnegative matrices (Q947639)

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scientific article; zbMATH DE number 5349147
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English
Subdirect sums of \(P(P_0)\)-matrices and totally nonnegative matrices
scientific article; zbMATH DE number 5349147

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    Subdirect sums of \(P(P_0)\)-matrices and totally nonnegative matrices (English)
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    6 October 2008
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    The authors study the issues of the sub-direct sum of two strictly diagonally dominant \(P\)-matrices being a strictly diagonally dominant \(P\)-matrix. In particular, it is shown that the subdirect sum of overlapping principal submatrices of strictly diagonally dominant \(P\)-matrices is a strictly diagonally dominant \(P\)-matrix.
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    \(k\)-subdirect sum
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    totally nonnegative matrix
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    \(P\)-matrix
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    \(P_{0}\)-matrix
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    strictly diagonally dominant matrices
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