A Duality Principle and a Concerning Convex Dual Formulation Suitable for Non-convex Variational Optimization
Version 2 : Received: 11 October 2022 / Approved: 11 October 2022 / Online: 11 October 2022 (09:57:49 CEST)
Version 3 : Received: 19 November 2022 / Approved: 21 November 2022 / Online: 21 November 2022 (12:55:10 CET)
Version 4 : Received: 24 November 2022 / Approved: 24 November 2022 / Online: 24 November 2022 (14:34:07 CET)
Version 5 : Received: 2 December 2022 / Approved: 2 December 2022 / Online: 2 December 2022 (13:48:39 CET)
Version 6 : Received: 21 December 2022 / Approved: 21 December 2022 / Online: 21 December 2022 (13:07:06 CET)
Version 7 : Received: 23 December 2022 / Approved: 26 December 2022 / Online: 26 December 2022 (13:54:29 CET)
Version 8 : Received: 12 January 2023 / Approved: 12 January 2023 / Online: 12 January 2023 (02:41:45 CET)
How to cite: Botelho, F. A Duality Principle and a Concerning Convex Dual Formulation Suitable for Non-convex Variational Optimization. Preprints 2022, 2022100116. https://doi.org/10.20944/preprints202210.0116.v5 Botelho, F. A Duality Principle and a Concerning Convex Dual Formulation Suitable for Non-convex Variational Optimization. Preprints 2022, 2022100116. https://doi.org/10.20944/preprints202210.0116.v5
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Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Comments (1)
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Commenter: Fabio Botelho
Commenter's Conflict of Interests: Author
We have found an error in the second duality principle in the version v.4.
Such a concerning section has been deleted.
We believe the article is now ready to be submitted to a Journal.