In this paper we consider a proximal method of multipliers (PMM) for a nonlinear second-order cone optimization problem. With the assumptions of constraint nondegeneracy, strict complementarity and second-order sufficient condition, we estimate the local convergence rate of PMM to be linear or superlinear, which depends on the strategy of parameter selection.

中文翻译：

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二阶锥优化问题乘数的近端方法的收敛速度

在本文中，我们考虑了非线性二阶锥优化问题的乘数法（PMM）。考虑约束非简并性，严格互补性和二阶充分条件的假设，我们估计PMM的局部收敛速度是线性还是超线性，这取决于参数选择策略。