Zhang, Cheng-Yi; Benzi, Michele \(P\)-regular splitting iterative methods for non-Hermitian positive definite linear systems. (English) Zbl 1191.65031 ETNA, Electron. Trans. Numer. Anal. 36(2009-2010), 39-53 (2009). 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. Reviewer: Constantin Popa (Constanţa) Cited in 2 Documents MSC: 65F10 Iterative numerical methods for linear systems 65F08 Preconditioners for iterative methods Keywords:Non-Hermitian positive definite matrices; \(P\)-regular splitting; convergence; preconditioned GMRES; successive overrelaxation PDFBibTeX XMLCite \textit{C.-Y. Zhang} and \textit{M. Benzi}, ETNA, Electron. Trans. Numer. Anal. 36, 39--53 (2009; Zbl 1191.65031) Full Text: EuDML EMIS