Directional Newton methods in n variables

Directional Newton methods for functions f of n variables are shown to converge, under standard assumptions, to a solution of f(x) = 0. The rate of convergence is quadratic, for near-gradient directions, and directions along components of the gradient of f with maximal modulus. These methods are applied to solving systems of equations without inversion of the Jacobian matrix.

• Type: Journal
• Year: 2002
• Where: MOC
• Authors: Yuri Levin, Adi Ben-Israel
• Keywords: Maximal Modulus, MOC 2002, Near-gradient Directions, Standard Assumptions