We transform a 2-dimensional second-order cone program to a standard linear program in order to pivot a vector based on its three states. Related properties of the transformation are given. Based on the transformation, we interpret the simplex method and its sensitivity analysis for the 2-dimensional second-order cone programming, especially the state changes. Finally, we give some applications...

a method has been presented for finding the solution surface of the npde: u  c , bounded by a general space curve. the method is based on the geometric characteristics of the surface, and is called the “cone-slot method”. it has been shown that such a surface can be obtained by movement of a cone inside the slot formed by the boundary space curve. an algorithm has been suggested on the basis ...

Wind turbines and associated parts are susceptible to cyclic stresses, including torque, bending, longitudinal stress, twisting moments. Therefore, research on the resilience of dynamic systems under such high loads is crucial for design future risk‐free operations. The method described in this study beneficial multidimensional structural responses that have undergone sufficient numerical simul...