1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
|
@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},
volume={17},
number={4},
pages={886--905},
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}
}
|
