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A new smoothing homotopy algorithm for second-order cone problems
DOI:10.1186/s13660-025-03339-x.png)
摘要
En 中文
In this paper, we introduce a new class of CHKS smoothing functions and show that the new smoothing functions possess a system of desirable properties. Based on the new smoothing functions, we obtain a smoothing homotopy method for solving the second-order cone complementarity problem. Under appropriate assumptions, we prove that the proposed method determines a smoothing interior path from a given interior point to an interior point where the necessary conditions are satisfied. The numerical tracing of this path gives a globally convergent algorithm for the SOCCP. Finally, some numerical results are reported, showing that the considered algorithm is applicable and efficient.
Keyword:
Smoothing homotopy function
CHKS
Second-order cone
Global convergence
Homotopy path-tracing algorithm
期刊
J
IF:
1.8
论文数:
134
被引数:
0
机构
暂无机构信息
引用论文
A Global and Local Superlinear Continuation-Smoothing Method forP0andR0NCP or Monotone NCP一种全局和局部超线性延续-平滑方法用于P0和R0NCP或单调NCP

