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In this paper we propose an affine scaling interior algorithm via conjugate gradient pathfor solving nonlinear equality systems subject to bounds on variables.By employing theaffine scaling conjugate gradient path search strategy,we obtain an iterative direction bysolving the linearize model.By using the line search technique,we will find an acceptabletrial step length along this direction which is strictly feasible and makes the objective functionnonmonotonically decreasing.The global convergence and fast local convergence rateof the proposed algorithm are established under some reasonable conditions.Furthermore,the numerical results of the proposed algorithm indicate to be effective.
In this paper we propose an affine scaling interior algorithm via conjugate gradient pathfor solving nonlinear equality systems subject to bounds on variables. By employing theaffine scaling conjugate gradient path search strategy, we obtain an iterative direction bysolving the linearize model.By using the line search technique , we will find an acceptabletrial step length along this direction which is strictly feasible and makes the objective functionnonmonotonically decreasing.The global convergence and fast local convergence rateof the proposed algorithm are established under some reasonable conditions.Furthermore, the numerical results of the to be effective.