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arXiv · 2506.11342

Rate of metastability of an iterative algorithm for quadratic optimization

Paulo Firmino
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Abstract

In this paper, relying on methods from proof mining, we provide a quantitative analysis of a theorem due to Xu, stating that an iteration strongly converges to the solution of a well known quadratic optimization problem. Rates of metastability and some rates of asymptotic regularity were obtained. We get quadratic rates of asymptotic regularity for particular sequences.

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Paulo Firmino. 2025-06-12. Rate of metastability of an iterative algorithm for quadratic optimization. https://arxiv.org/abs/2506.11342

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