Two-stage iterative methods for consistent Hermitian positive semidefinite systems (Q1124907)
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scientific article; zbMATH DE number 1371402
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Two-stage iterative methods for consistent Hermitian positive semidefinite systems |
scientific article; zbMATH DE number 1371402 |
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Two-stage iterative methods for consistent Hermitian positive semidefinite systems (English)
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29 November 1999
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Two-stage iterative methods for linear systems \(Ax=b\) can arise in the following way. First, a splitting \(A=M-N\) is performed. The auxiliary systems \(Mx_k=Nx_{k-1}+b\) may be approximately solved by an inner iteration based on a (second) splitting of \(M\). The iteration may be stationary or nonstationary. Algebraic properties are discussed. Moreover properties of two splittings are compared when the difference of the matrices for the two cases are positive semidefinite.
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regular splittings
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consistent Hermitian positive semidefinite systems
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two-stage iterative methods
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