Jacobian-Free Diagonal Newton's Method for Solving Nonlinear Systems with Singular Jacobian
Published: Jan 1, 2011
Abstract
The basic requirement of Newton’s method in solving systems of nonlinear equations is, the Jacobian must be non-singular. This condition restricts to some extent the application of Newton method. In this paper we present a modification of Newton’s method for systems of nonlinear equations where the Jacobian is singular. This is made possible by approximating the Jacobian inverse into a diagonal matrix by means of variational techniques. The...
Paper Details
Title
Jacobian-Free Diagonal Newton's Method for Solving Nonlinear Systems with Singular Jacobian
Published Date
Jan 1, 2011
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