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A new one-step smoothing Newton method for second-order cone programming. (English) Zbl 1265.90229
The paper deals with the second-order cone programming (SOCP) problem. The authors present a one-step smoothing Newton method for solving the SOCP problem based on a new smoothing function of the Fischer-Burmeister function. The algorithm solves only one system of linear equations and performs only one Armijo-type line-search per iteration. Global and local quadratic convergence under standard assumptions are proved. Numerical experiments demonstrate efficiency of the algorithm.

##### MSC:
 90C25 Convex programming 90C46 Optimality conditions and duality in mathematical programming 65K05 Numerical mathematical programming methods 49M15 Newton-type methods
SDPT3
Full Text:
##### References:
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