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Multiparameter extrapolation and deflation methods for solving equation systems. (English) Zbl 0582.65041

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

MSC:

65H10 Numerical computation of solutions to systems of equations
65F10 Iterative numerical methods for linear systems
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