Xiaoni Chi, Zhongping Wan, Jiawei Chen, "A Novel Inexact Smoothing Method for Second-Order Cone Complementarity Problems," WSEAS Transactions on Mathematics, vol. 12, pp. -, 2013, DOI:
Xiaoni Chi, Zhongping Wan, Jiawei Chen. A Novel Inexact Smoothing Method for Second-Order Cone Complementarity Problems.
WSEAS Transactions on Mathematics. 2013;12:-.
WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 12, 2013
A Novel Inexact Smoothing Method for Second-Order Cone Complementarity Problems
Authors: , ,
Abstract: A novel inexact smoothing method is presented for solving the second-order cone complementarity problems (SOCCP). Our method reformulates the SOCCP as an equivalent nonlinear system of equations by in- troducing a regularized Chen-Harker-Kanzow-Smale smoothing function. At each iteration, Newton’s method is adopted to solve the system of equations approximately, which saves computation work compared to the cal- culations of exact search directions. Under rather weak assumptions, the algorithm is proved to possess global convergence and local quadratic convergence.
Keywords:
Second-order cone complementarity problem, Smoothing Newton method, Inexact search direction, Global convergence, Local quadratic convergence
Pages: - WSEAS Transactions on Mathematics, ISSN / E-ISSN: 1109-2769 / 2224-2880, Volume 12, 2013DOI: *As the DOI is a unique identifier, it is already available in the pdf version.
**The DOI link will be activated in the first midst of January 2026.
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