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\(P\)-regular splitting iterative methods for non-Hermitian positive definite linear systems. (English) Zbl 1191.65031

The authors show that \(P\)-regular splittings of the form \(A=M-N\), where \(N=N^*\) and \(A\) is a non-Hermitian positive definite matrix are convergent. Their results complete the successive overrelaxation theory for non-Hermitian matrices.

MSC:

65F10 Iterative numerical methods for linear systems
65F08 Preconditioners for iterative methods
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