@article{Zhou2022, 
author = {Peng Zhou and Teng Wang},
title = {The parameter-Newton iteration for the second-order cone linear complementarity problem},
year = {2022},
journal = {Electronic Research Archive},
volume = {30},
number = {4},
pages = {1454-1462},
keywords = {parameter, quadratic convergence, second-order cone linear complementarity problem, Newton iteration, higher accuracy},
url = {https://www.sciopen.com/article/10.3934/era.2022076},
doi = {10.3934/era.2022076},
abstract = {In this paper, we propose the parameter-Newton (PN) method to solve the second-order linear complementarity problem (SOCLCP). The key idea of PN method is that we transfer the SOCLCP into a system of nonlinear equations by bringing in a parameter. Then we solve the system of nonlinear equations by Newton method. At last, we prove that the PN method has quadratic convergence. Compared with the bisection-Newton (BN) method, the PN method has less CPU time and higher accuracy in numerical tests.}
}