A two-step derivative-free iterative algorithm is presented for solving nonlinear equations. Error analysis shows that the algorithm is fourth-order with efficiency index equal to 1.5874. A lot ofâ€¦ (More)

We propose an algorithm for solving nonsmooth convex constrained problems, which combines the ideas of the variable metric methods with the filter strategy for evaluating candidate points. Theâ€¦ (More)

Recently, so-called derivative-free methods have attracted much attention, which do not require computation of derivatives of function and are particularly suitable for problems which the derivativesâ€¦ (More)

A derivative-free iterative algorithm is presented for solving nonlinear equations. Error analysis shows that the algorithm is super-cubic and is of the order 3.3028 approximately.

We propose an algorithm for solving nonsmooth convex constrained problems, which is close in spirit and structure to the well-developed unconstrained variable metric method. In the algorithm,â€¦ (More)

The nonlinear oscillation in a compressible air-filled two-dimensional cylindrical resonator driven by a loudspeaker is simulated by using the gas-kinetic scheme. The influences of shock wave andâ€¦ (More)