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http://hdl.handle.net/10397/113135
| Title: | Tight error bounds for log-determinant cones without constraint qualifications | Authors: | Lin, Y Lindstrom, SB Lourenço, BF Pong, TK |
Issue Date: | Jun-2025 | Source: | Journal of optimization theory and applications, June 2025, v. 205, no. 3, 45 | Abstract: | In this paper, without requiring any constraint qualifications, we establish tight error bounds for the log-determinant cone, which is the closure of the hypograph of the perspective function of the log-determinant function. This error bound is obtained using the recently developed framework based on one-step facial residual functions. | Keywords: | Error bounds Facial residual functions Log-determinant cone |
Publisher: | Springer New York LLC | Journal: | Journal of optimization theory and applications | ISSN: | 0022-3239 | EISSN: | 1573-2878 | DOI: | 10.1007/s10957-025-02644-1 | Rights: | © The Author(s) 2025 Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/. The following publication Lin, Y., Lindstrom, S.B., Lourenço, B.F. et al. Tight Error Bounds for Log-Determinant Cones Without Constraint Qualifications. J Optim Theory Appl 205, 45 (2025) is available at https://doi.org/10.1007/s10957-025-02644-1. |
| Appears in Collections: | Journal/Magazine Article |
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