We consider a new idea for solving TSikhonov regularized discretized ill-posed problems. The optimization problem is formulated as a nonlinear least squares problems containing the TIkhonov regularization parameter lambda . IN order to find the size of the regularization parameter and attain good convergence in the optimization method we use the nonlinear L-and a-curve. The nonlinear L-curve is a direct generalization of the linear L-curve and can be used to find a good regularized solution. The a-curve is the Tikhonov function as a function of the regularization parameter and is most usful in monitoring the global convergence of the method.
展开▼
