On the eigenvalues and eigenvectors of block triangular preconditioned block matrices (Q2923356)

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scientific article; zbMATH DE number 6356183
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On the eigenvalues and eigenvectors of block triangular preconditioned block matrices
scientific article; zbMATH DE number 6356183

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    15 October 2014
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    block triangular preconditioner
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    convergence
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    eigenvalues
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    eigenvectors
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    iterative method
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    saddle point system
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    On the eigenvalues and eigenvectors of block triangular preconditioned block matrices (English)
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    The author considers the idea of preconditioning \(2 \times 2\) block matrices with block upper or lower triangular ones. She shows that a block lower triangular preconditioner gives the same spectrum as a block upper triangular one, and that the eigenvectors of the two preconditioned matrices are related.
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