Hughes Hallett, A. J. Multiparameter extrapolation and deflation methods for solving equation systems. (English) Zbl 0582.65041 Int. J. Math. Math. Sci. 7, 793-802 (1984). The author studies iterative matrix extrapolation methods for solving both linear and nonlinear systems of n equations in n variables. Included as special cases are the familiar Jacobi, Gauss-Seidel and SOR methods. By permitting non-diagonal extrapolation matrices it becomes possible to study and improve deflation methods for finding several solutions of nonlinear systems. Reviewer: E.Allgower Cited in 3 Documents MSC: 65H10 Numerical computation of solutions to systems of equations 65F10 Iterative numerical methods for linear systems Keywords:successive overrelaxation; extrapolation methods; Jacobi; Gauss-Seidel; non-diagonal extrapolation matrices; deflation methods PDFBibTeX XMLCite \textit{A. J. Hughes Hallett}, Int. J. Math. Math. Sci. 7, 793--802 (1984; Zbl 0582.65041) Full Text: DOI EuDML