Skip to main Communities My dashboard Log in Sign up Published April 19, 2026 | Version v1 Preprint Open A S-Lemma–Driven Unified Dynamical System for Sublinear Convergence in Constrained Optimization Authors/Creators Zhang, Jincheng Description This paper attempts to unify the modeling of the classic tool S-lemma in quadratic constraint systems with the sublinear convergence law O(1/t) in optimization algorithms, constructing a new "constraint-convergence integrated equation". The core idea of this equation is to transform the "quadratic inequality implication relation" in S-lemma into the "Lyapunov descent certificate" in the iterative optimization process, and further introduce a time scale normalization mechanism, so that constraint feasibility and convergence rate are simultaneously valid in the same inequality structure, thus forming a unified analytical framework. Files A S-Lemma–Driven Unified Dynamical System for Sublinear Convergence in Constrained Optimization.pdf Files (186.4 kB) Name Size Download all A S-Lemma–Driven Unified Dynamical System for Sublinear Convergence in Constrained Optimization.pdf md5:59309cf892a454984b8a290c578e5a3b 186.4 kB Preview Download 20 Views 13 Downloads Show more details All versions This version Views Total views 20 20 Downloads Total downloads 13 13 Data volume Total data volume 2.4 MB 2.4 MB More info on how stats are collected.... Versions External resources Indexed in OpenAIRE Communities Details DOI DOI Badge DOI 10.5281/zenodo.19649289 Markdown [](https://doi.org/10.5281/zenodo.19649289) reStructuredText .. image:: https://zenodo.org/badge/DOI/10.5281/zenodo.19649289.svg :target: https://doi.org/10.5281/zenodo.19649289 HTML <a href="https://doi.org/10.5281/zenodo.19649289"><img src="https://zenodo.org/badge/DOI/10.5281/zenodo.19649289.svg" alt="DOI"></a> Image URL https://zenodo.org/badge/DOI/10.5281/zenodo.19649289.svg Target URL https://doi.org/10.5281/zenodo.19649289 Resource type Preprint Publisher Zenodo Rights License Creative Commons Attribution 4.0 International The Creative Commons Attribution license allows re-distribution and re-use of a licensed work on the condition that the creator is appropriately credited. Read more Citation Export Technical metadata Created April 19, 2026 Modified April 19, 2026 Jump up About About Policies Infrastructure Principles Projects Roadmap Contact Blog Blog Support Help FAQ Developers REST API OAI-PMH Contribute GitHub Donate Funded by Powered by CERN Data Centre & InvenioRDM Status Privacy policy Cookie policy Terms of Use This site uses cookies. Find out more on how we use cookies Accept all cookies Accept only essential cookies