A full description of the isolated calmness of semidefinite programming problem

Songqi Gao; Ziran Yin

doi:10.1117/12.3035116

21 July 2024 A full description of the isolated calmness of semidefinite programming problem

Songqi Gao, Ziran Yin

Proceedings Volume 13219, Fourth International Conference on Applied Mathematics, Modelling, and Intelligent Computing (CAMMIC 2024); 132192U (2024) https://doi.org/10.1117/12.3035116
Event: 4th International Conference on Applied Mathematics, Modelling and Intelligent Computing (CAMMIC 2024), 2024, Kaifeng, China

Abstract

The objective of this work is to analyze the isolated calmness of the mapping of semidefinite programming problem Karush-Kuhn-Tucker solution. We give the equivalence between the dual/primal strict Robinson constraint qualification and the primal/dual second order sufficient condition of the semidefinite programming. Based on the results, we get the equivalent conditions of the isolated calmness of the Karush-Kuhn-Tucker solution mapping.

(2024) Published by SPIE. Downloading of the abstract is permitted for personal use only.

Citation Download Citation

Songqi Gao and Ziran Yin "A full description of the isolated calmness of semidefinite programming problem", Proc. SPIE 13219, Fourth International Conference on Applied Mathematics, Modelling, and Intelligent Computing (CAMMIC 2024), 132192U (21 July 2024); https://doi.org/10.1117/12.3035116

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