A Structured Broyden's-Like Method for Solving Systems of Nonlinear Equations

We suggested a Broyden's-Like method in which the Jacobian of the system has some special structure. In this approach, instead of approximating the whole Jacobian using the Broyden's updating for- mula, we considered an update which only approximates part of the Jacobian matrix that is not easily attained. The anticipation has been to further improve the performance of Broyden's scheme in which the Jacobian of the system has some special structure. The e�ectiveness of our proposed scheme is appraised through numerical comparison with some well known Newton's-like methods