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A new smoothing homotopy algorithm for second-order cone problems

delete2025-10-27
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OA
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Tingting Xu *
X
Xiaona Fan
Z
Zaiyong Feng
DOI:10.1186/s13660-025-03339-xdelete
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摘要

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
Journal of Inequalities and Applications
IF:
1.8
论文数:
134
被引数:
0

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