A Hybrid Newton-GMRES Method for Solving Nonlinear Equations

Authors:
Stefania Bellavia;Maria Macconi;Benedetta Morini
Affiliations:
-;-;-
Venue:
NAA '00 Revised Papers from the Second International Conference on Numerical Analysis and Its Applications
Year:
2000

Citing 5
Cited 1

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Tensor-GMRES Method for Large Systems of Nonlinear Equations

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Numerical Methods for Unconstrained Optimization and Nonlinear Equations (Classics in Applied Mathematics, 16)

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A globally convergent Newton-GMRES method for large sparse systems of nonlinear equations

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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.