@article{XIE2025116146,
title = {Sufficient conditions for error distance reduction in the ℓ2-norm trust region between minimizers of local nonconvex multivariate quadratic approximates},
journal = {Journal of Computational and Applied Mathematics},
volume = {453},
pages = {116146},
year = {2025},
issn = {0377-0427},
doi = {https://doi.org/10.1016/j.cam.2024.116146},
url = {https://www.sciencedirect.com/science/article/pii/S0377042724003959},
author = {Pengcheng Xie},
keywords = {Quadratic, Trust-region, Distance reduction},
abstract = {This paper analyzes the sufficient conditions for distance reduction between minimizers of local nonconvex quadratic approximate functions with diagonal Hessian in the ℓ2-norm trust regions after two iterations. Some examples illustrate the theoretical results of this study.}
}

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