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High-order Newton-Krylov methods to solve systems of nonlinear equations. (English) Zbl 1282.65057

Summary: The authors and C.-H. Kim [Appl. Math. Comput. 217, No. 7, 3190–3198 (2010; Zbl 1204.65055)] compared the Newton-Krylov method and some high-order methods to solve nonlinear systems. In this paper, they propose high-order Newton-Krylov methods combining the Newton-Krylov method with some high-order iterative methods to solve systems of nonlinear equations. They provide some numerical experiments including comparisons of CPU time and iteration numbers of the proposed high-order Newton-Krylov methods for several nonlinear systems.

MSC:

65H10 Numerical computation of solutions to systems of equations

Citations:

Zbl 1204.65055
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