An efficient solver for systems of nonlinear equations with singular Jacobian via diagonal updating

• Main Authors: Waziri, Mohammed Yusuf, Leong, Wah June, Abu Hassan, Malik, Monsi, Mansor
• Format: Article
• Language: English
• Published: Hikari Ltd. 2010
• Online Access: http://psasir.upm.edu.my/id/eprint/13026/1/An%20efficient%20solver%20for%20systems%20of%20nonlinear%20equations%20with%20singular%20Jacobian%20via%20diagonal%20updating.pdf; http://psasir.upm.edu.my/id/eprint/13026/; http://www.m-hikari.com/ams/ams-2010/ams-69-72-2010/index.html

It is well known that the quadratic rate of convergence of Newton method for solving nonlinear equations is depends on when the Jacobian is nonsingular in the neighborhood of the solution. Disobeying this condition, i.e. the Jacobian to be singular the convergence is too slow and may even lost. In t...