Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4631218 | Applied Mathematics and Computation | 2010 | 9 Pages |
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
Authors
Byeong-Chun Shin, M.T. Darvishi, Chang-Hyun Kim,