refs.bib

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@article{bastin2010retrospective,
  title     = {A retrospective trust-region method for unconstrained optimization},
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@article{broyden1965class,
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@article{coffey2003pseudotransient,
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  number    = {2},
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  year      = {2003},
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}

@article{fan2006convergence,
  title     = {Convergence rate of the trust region method for nonlinear equations under local error bound condition},
  author    = {Fan, Jinyan},
  journal   = {Computational Optimization and Applications},
  volume    = {34},
  number    = {2},
  pages     = {215--227},
  year      = {2006},
  publisher = {Springer}
}

@article{fan2016retrospective,
  title     = {A retrospective trust region algorithm with trust region converging to zero},
  author    = {Fan, Jinyan and Pan, Jianyu and Song, Hongyan},
  journal   = {Journal of Computational Mathematics},
  volume    = {34},
  number    = {4},
  pages     = {421--436},
  year      = {2016},
  publisher = {JSTOR}
}

@article{hei2003self,
  title     = {A self-adaptive trust region algorithm},
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  pages     = {229--236},
  year      = {2003},
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}

@article{kelley1998convergence,
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@article{klement2014using,
  title     = {On using quasi-newton algorithms of the Broyden class for model-to-test correlation},
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  volume    = {6},
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}

@article{la2006spectral,
  title   = {Spectral residual method without gradient information for solving large-scale nonlinear systems of equations},
  author  = {La Cruz, William and Mart{\'\i}nez, Jos{\'e} and Raydan, Marcos},
  journal = {Mathematics of computation},
  volume  = {75},
  number  = {255},
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}

@article{lepage2021alternating,
  title   = {Alternating cyclic extrapolation methods for optimization algorithms},
  author  = {Lepage-Saucier, Nicolas},
  journal = {arXiv preprint arXiv:2104.04974},
  year    = {2021}
}

@article{li2000derivative,
  title     = {A derivative-free line search and global convergence of Broyden-like method for nonlinear equations},
  author    = {Li, Dong-Hui and Fukushima, Masao},
  journal   = {Optimization methods and software},
  volume    = {13},
  number    = {3},
  pages     = {181--201},
  year      = {2000},
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@article{transtrum2012improvements,
  title   = {Improvements to the Levenberg-Marquardt algorithm for nonlinear least-squares minimization},
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  journal = {arXiv preprint arXiv:1201.5885},
  year    = {2012}
}

@article{yuan2015recent,
  title     = {Recent advances in trust region algorithms},
  author    = {Yuan, Ya-xiang},
  journal   = {Mathematical Programming},
  volume    = {151},
  pages     = {249--281},
  year      = {2015},
  publisher = {Springer}
}

@article{ziani2008autoadaptative,
  title     = {An autoadaptative limited memory Broyden’s method to solve systems of nonlinear equations},
  author    = {Ziani, Mohammed and Guyomarc’h, Fr{\'e}d{\'e}ric},
  journal   = {Applied mathematics and computation},
  volume    = {205},
  number    = {1},
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  year      = {2008},
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}