Article ID: | iaor20118908 |
Volume: | 218 |
Issue: | 4 |
Start Page Number: | 1317 |
End Page Number: | 1329 |
Publication Date: | Oct 2011 |
Journal: | Applied Mathematics and Computation |
Authors: | He Guoping, Fang Liang, Tang Jingyong, Dong Li |
Keywords: | heuristics |
A new smoothing function is given in this paper by smoothing the symmetric perturbed Fischer–Burmeister function. Based on this new smoothing function, we present a smoothing Newton method for solving the second‐order cone optimization (SOCO). The method solves only one linear system of equations and performs only one line search at each iteration. Without requiring strict complementarity assumption at the SOCO solution, the proposed algorithm is shown to be globally and locally quadratically convergent. Numerical results demonstrate that our algorithm is promising and comparable to interior‐point methods.