Article ID Journal Published Year Pages File Type
4631218 Applied Mathematics and Computation 2010 9 Pages PDF
Abstract

We compare the CPU time and error estimates of some variants of Newton method of the third and fourth-order convergence with those of the Newton–Krylov method used to solve systems of nonlinear equations. By expanding some numerical experiments we show that the use of Newton–Krylov method is better in the cost and accuracy points of view than the use of other high order Newton-like methods when the system is sparse and its size is large.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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