On the H-differentiability of löwner function with application in symmetric cone complementarity problem
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Bibliographic record
Abstract
LetK be the symmetric cone in a Jordan algebra V. For any functionf from IR to IR, one can dene the corresponding Lowner function f sc (x) on V by the spectral decomposition of x 2 V with respect to K. In this paper, we study the relationship regarding H-dierentiability between f sc and f. The class of H-dierentiable functions is known to be wider than the class of semismooth functions. Therefore, our result will contribute to solution analysis and solution methods for solving more general symmetric cone programs (SCP) and symmetric cone complementarity problems (SCCP). Besides, we also study a merit function approach for SCCP under H-dierentiable condition. In particular, for such class of complementarity problems, we provide conditions to guarantee every stationary point of the associated merit function to be a solution.
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| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.001 | 0.000 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.000 | 0.001 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.000 | 0.000 |
| Research integrity | 0.000 | 0.000 |
| Insufficient payload (model declined to judge) | 0.000 | 0.000 |
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