@article{amestoy1996approximate,
  title={An approximate minimum degree ordering algorithm},
  author={Amestoy, Patrick R and Davis, Timothy A and Duff, Iain S},
  journal={SIAM Journal on Matrix Analysis and Applications},
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  number={4},
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  year={1996},
  publisher={SIAM}
}

@article{amestoy2004algorithmamd,
  title={Algorithm 837: {AMD}, an approximate minimum degree ordering algorithm},
  author={Amestoy, Patrick R and Davis, Timothy A and Duff, Iain S},
  journal={ACM Transactions on Mathematical Software (TOMS)},
  volume={30},
  number={3},
  pages={381--388},
  year={2004},
  publisher={ACM}
}

@misc{davis2020suitesparse,
  title={{SuiteSparse}},
  author={Davis, T.},
  note={http://faculty.cse.tamu.edu/davis/suitesparse.html},
  year={2020}
}

@article{davis2004algorithmcolamd,
  title={Algorithm 836: {COLAMD},
    a column approximate minimum degree ordering algorithm},
  author={Davis, Timothy A and Gilbert, John R and Larimore, Stefan I and Ng, Esmond G},
  journal={ACM Transactions on Mathematical Software (TOMS)},
  volume={30},
  number={3},
  pages={377--380},
  year={2004},
  publisher={ACM}
}

@article{davis2004column,
  title={A column approximate minimum degree ordering algorithm},
  author={Davis, Timothy A and Gilbert, John R and Larimore, Stefan I and Ng, Esmond G},
  journal={ACM Transactions on Mathematical Software (TOMS)},
  volume={30},
  number={3},
  pages={353--376},
  year={2004},
  publisher={ACM}
}

@article{fousse2007mpfr,
  title={{MPFR:} A multiple-precision binary floating-point library with correct rounding},
  author={Fousse, Laurent and Hanrot, Guillaume and Lef{\`e}vre, Vincent and P{\'e}lissier, Patrick and Zimmermann, Paul},
  journal={ACM Transactions on Mathematical Software (TOMS)},
  volume={33},
  number={2},
  pages={13},
  year={2007},
  publisher={ACM}
}

@book{granlund2015gnu,
  title={{GNU MP} 6.0 Multiple Precision Arithmetic Library},
  author={Granlund, Torbjrn and others},
  year={2015},
  publisher={Samurai Media Limited}
}

@article{lourenco2019exact,
  title={Exact Solution of Sparse Linear Systems via Left-Looking Roundoff-Error-Free {LU} Factorization in Time Proportional to Arithmetic Work},
  author={Lourenco, Christopher and Escobedo, Adolfo R and Moreno-Centeno, Erick and Davis, Timothy A},
  journal={SIAM Journal on Matrix Analysis and Applications},
  volume={40},
  number={2},
  pages={609--638},
  year={2019},
  publisher={SIAM}
}


@article{lourenco2022exactly,
  title={Exactly Solving Sparse Rational Linear Systems via Roundoff-Error-Free Cholesky Factorizations},
  author={Lourenco, Christopher J and Moreno-Centeno, Erick},
  journal={SIAM Journal on Matrix Analysis and Applications},
  volume={43},
  number={1},
  pages={439--463},
  year={2022},
  publisher={SIAM}
}