Additive block diagonal preconditioning for block two-by-two linear systems of skew-Hamiltonian coefficient matrices (Q1947185)
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scientific article; zbMATH DE number 6153514
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Additive block diagonal preconditioning for block two-by-two linear systems of skew-Hamiltonian coefficient matrices |
scientific article; zbMATH DE number 6153514 |
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Additive block diagonal preconditioning for block two-by-two linear systems of skew-Hamiltonian coefficient matrices (English)
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12 April 2013
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The authors propose an additive block diagonal preconditioner for a class of block two-by-two systems of linear equations with certain skew-Hamiltonian coefficient matrices. They also derive expressions for the eigenvalues and eigenvectors of the preconditioned matrices and apply them to estimate the convergence rates for the preconditioned versions of GMRES and MINRES algorithms.
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block two-by-two matrices
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PMHSS iteration
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block diagonal matrix
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preconditioning
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spectral properties
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PDE-constrained optimization
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skew-Hamiltonian coefficient matrices
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eigenvalues
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eigenvectors
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convergence
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GMRES and MINRES algorithms
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0.8970766
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0.88317984
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0.88180125
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0.87467194
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0.8742882
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0.8737808
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