Connections between the PCG method applied to systems with red/black form and its reduced system (Q1263245)
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scientific article; zbMATH DE number 4126582
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Connections between the PCG method applied to systems with red/black form and its reduced system |
scientific article; zbMATH DE number 4126582 |
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Connections between the PCG method applied to systems with red/black form and its reduced system (English)
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1989
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If the matrix A has a red/black form, then one can apply the preconditioned conjugate gradient method to two smaller systems derived from A instead of applying it directly to A. It is shown that for certain starting vectors, these two methods are virtually equivalent due to a simple relation between the iteration vectors of the methods.
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system with red/black form
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reduced system
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preconditioned conjugate gradient method
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0.78029966
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0.7790775
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0.7784067
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0.7762924
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0.77361786
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0.7718627
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