Newton method for nonlinear system with singular Jacobian using diagonal updating
It is well known that when the Jacobian of nonlinear systems is nonsingular in the neighborhood of the solution, the convergence of Newton method to a solution x* of F(x) = 0 is guaranteed and the rate is quadratic. Violating this condition, i.e. the Jacobian to be singular the convergence may be un...
Main Authors: | , , , |
---|---|
Format: | Article |
Language: | English |
Published: |
Centre for Environment, Social and Economic Research Publications
2010
|
Online Access: | http://psasir.upm.edu.my/id/eprint/15810/1/Newton%20method%20for%20nonlinear%20system%20with%20singular%20Jacobian%20using%20diagonal%20updating.pdf |