It has been shown in various papers that most interior-point algorithms for linear optimization and their analysis can be generalized to P_*(κ) linear complementarity problems.This paper presents an extension of t...It has been shown in various papers that most interior-point algorithms for linear optimization and their analysis can be generalized to P_*(κ) linear complementarity problems.This paper presents an extension of the recent variant of Mehrotra's second order algorithm for linear optimijation.It is shown that the iteration-complexity bound of the algorithm is O(4κ + 3)√14κ + 5 nlog(x0)Ts0/ε,which is similar to that of the corresponding algorithm for linear optimization.展开更多
基金supported by the Natural Science Foundation of Hubei Province of China(2008CDZ047)
文摘It has been shown in various papers that most interior-point algorithms for linear optimization and their analysis can be generalized to P_*(κ) linear complementarity problems.This paper presents an extension of the recent variant of Mehrotra's second order algorithm for linear optimijation.It is shown that the iteration-complexity bound of the algorithm is O(4κ + 3)√14κ + 5 nlog(x0)Ts0/ε,which is similar to that of the corresponding algorithm for linear optimization.