A subspace linesearch strategy for the globalization of Newton-GMRES method is proposed. The main feature of our proposal is the simple and inexpensive way we determine descent directions in the low-dimensional subspaces generated by GMRES. Global and local quadratic convergence is established under standard assumptions.
A hybrid Newton-GMRES method for solving nonlinear equations / B. MORINI; M. MACCONI; S. BELLAVIA. - STAMPA. - 1988:(2000), pp. 68-75. (Intervento presentato al convegno Second Conference on Numerical Analysis and Applications, 2000).
A hybrid Newton-GMRES method for solving nonlinear equations
MORINI, BENEDETTA;MACCONI, MARIA;BELLAVIA, STEFANIA
2000
Abstract
A subspace linesearch strategy for the globalization of Newton-GMRES method is proposed. The main feature of our proposal is the simple and inexpensive way we determine descent directions in the low-dimensional subspaces generated by GMRES. Global and local quadratic convergence is established under standard assumptions.
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