Adjustable Entropy Function Method For Nonlinear L₁ Problem

The nonlinear l₁ problem is an important non-differentiable unconstrained optimization problem. It is of great practical importance to network and system designers wishing to approximate a specified response by a network or system response.In present paper, the adjustable entropy function method is used to solve this problem. This method attempts to overcome some drawbacks of former methods, especially the maximum entropy function method.In Chapter 2, we present an adjustable entropy function and give some properties. In Chapter 3, the algorithm is given and the convergence is proved. Numerical tests show that this algorithm is efficient and practical.