@article{xie-2025-distance-reduction,
  author  = {Pengcheng Xie},
  title   = {Sufficient Conditions for Error Distance Reduction in the {$\ell_2$}-Norm Trust Region Between Minimizers of Local Nonconvex Multivariate Quadratic Approximates},
  journal = {Journal of Computational and Applied Mathematics},
  year    = {2025},
  volume  = {453},
  pages   = {116146},
  doi     = {10.1016/j.cam.2024.116146},
  url     = {https://doi.org/10.1016/j.cam.2024.116146},
  keywords = {optimization}
}

{"_id":"6Nwf5nhQh3HMEE2mK","bibbaseid":"xie-sufficientconditionsforerrordistancereductionintheell2normtrustregionbetweenminimizersoflocalnonconvexmultivariatequadraticapproximates-2025","author_short":["Xie, P."],"bibdata":{"bibtype":"article","type":"article","author":[{"firstnames":["Pengcheng"],"propositions":[],"lastnames":["Xie"],"suffixes":[]}],"title":"Sufficient Conditions for Error Distance Reduction in the $\\ell_2$-Norm Trust Region Between Minimizers of Local Nonconvex Multivariate Quadratic Approximates","journal":"Journal of Computational and Applied Mathematics","year":"2025","volume":"453","pages":"116146","doi":"10.1016/j.cam.2024.116146","url":"https://doi.org/10.1016/j.cam.2024.116146","keywords":"optimization","bibtex":"@article{xie-2025-distance-reduction,\n author = {Pengcheng Xie},\n title = {Sufficient Conditions for Error Distance Reduction in the {$\\ell_2$}-Norm Trust Region Between Minimizers of Local Nonconvex Multivariate Quadratic Approximates},\n journal = {Journal of Computational and Applied Mathematics},\n year = {2025},\n volume = {453},\n pages = {116146},\n doi = {10.1016/j.cam.2024.116146},\n url = {https://doi.org/10.1016/j.cam.2024.116146},\n keywords = {optimization}\n}\n\n","author_short":["Xie, P."],"key":"xie-2025-distance-reduction","id":"xie-2025-distance-reduction","bibbaseid":"xie-sufficientconditionsforerrordistancereductionintheell2normtrustregionbetweenminimizersoflocalnonconvexmultivariatequadraticapproximates-2025","role":"author","urls":{"Paper":"https://doi.org/10.1016/j.cam.2024.116146"},"keyword":["optimization"],"metadata":{"authorlinks":{}},"html":""},"bibtype":"article","biburl":"https://pxie98.github.io/xpcpublication.bib","dataSources":["MDXYzDiXnZHWF2wpy"],"keywords":["optimization"],"search_terms":["sufficient","conditions","error","distance","reduction","ell","norm","trust","region","between","minimizers","local","nonconvex","multivariate","quadratic","approximates","xie"],"title":"Sufficient Conditions for Error Distance Reduction in the $\\ell_2$-Norm Trust Region Between Minimizers of Local Nonconvex Multivariate Quadratic Approximates","year":2025}