1%-------------------------------------------------------------------------------
2
3@string{TOMS        = "{ACM} Trans. Math. Software"}
4@string{SIAMJSSC    = "{SIAM} J. Sci. Statist. Comput."}
5@string{SIMAX       = "{SIAM} J. Matrix Anal. Appl."}
6@string{SICOMP= "{SIAM} J. Comput."}
7@string{SIAMJSC     = "{SIAM} J. Sci. Comput."}
8
9@techreport{NagelPederson,
10    author={Nagel, L. W and Pederson, D. O.},
11    title={{SPICE} (Simulation Program with Integrated Circuit Emphasis)},
12    number={Memorandum No. ERL-M382},
13    address={University of California, Berkeley}, year={1973}}
14
15@incollection{Kundert86,
16     author={Kundert, K. S.},
17     year={1986},
18     title={Sparse Matrix Techniques and Their Applications to Circuit Simulation},
19     editor={Ruehli, A. E.},
20     booktitle={Circuit Analysis, Simulation and Design},
21     publisher={New York:  North-Holland}}
22
23@techreport{KundertSangiovanniVincentelli85,
24	author={Kundert, K. S. and Sangiovanni-Vincentelli, A.},
25	month={Oct.},
26	year={1985},
27	title={User's Guide: Sparse1.2},
28	institution={Dept.~of EE and CS, UC Berkeley},
29	keywords={ 31 Sparse1.2 software package direct methods}}
30
31@phdthesis{Quarles:M89/42,
32    Author = {Thomas L. Quarles},
33    Title = {Analysis of Performance and Convergence Issues for Circuit Simulation},
34    School = {EECS Department, University of California, Berkeley},
35    Year = {1989},
36    URL = {http://www.eecs.berkeley.edu/Pubs/TechRpts/1989/1216.html},
37    Number = {UCB/ERL M89/42}}
38
39@book{Davis06book,
40	author={T. A. Davis},
41	title={Direct Methods for Sparse Linear Systems},
42	publisher={SIAM}, year={2006}, address={Philadelphia, PA}}
43
44@article{GilbertPeierls88,
45	author={Gilbert, J. R. and Peierls, T.},
46	year={1988},
47	title={Sparse Partial Pivoting in Time Proportional to Arithmetic Operations},
48	journal=SIAMJSSC, volume={9}, pages={862-874}}
49
50@article{Duff78a,
51	author={Duff, I. S. and Reid, J. K.},
52	year={1978},
53	title={An Implementation of {Tarjan}'s Algorithm for the Block Triangularization of a Matrix},
54	journal=TOMS, volume={4}, pages={137-147}}
55
56@article{Duff81,
57	author={Duff, I. S.},
58	year={1981},
59	title={On Algorithms for Obtaining a Maximum Transversal},
60	journal=TOMS, volume={7}, pages={315-330}}
61
62@article{AmestoyDavisDuff96,
63	author={Amestoy, P. R. and Davis, T. A. and Duff, I. S.},
64	title={An approximate minimum degree ordering algorithm},
65	journal=SIMAX, year={1996}, volume={17}, pages={886--905}}
66
67@article{AmestoyDavisDuff03,
68	author={Amestoy, P. R. and Davis, T. A. and Duff, I. S.},
69	title={Algorithm 837: {AMD}, an approximate minimum degree ordering algorithm},
70	journal=TOMS, year={2004}, volume={30}, pages={381-388}}
71
72@article{Tarjan72,
73	author={Tarjan, R. E.},
74	title={Depth first search and linear graph algorithms},
75	journal=SICOMP, year={1972}, volume={1}, pages={146--160}}
76
77@article{DavisGilbertLarimoreNg00,
78	author={Davis, T. A. and Gilbert, J. R. and Larimore, S. I. and Ng, E. G.},
79	title={A column approximate minimum degree ordering algorithm},
80	journal=TOMS, year={2004}, volume={30}, pages={353-376}}
81
82@article{DavisGilbertLarimoreNg00_algo,
83	author={Davis, T. A. and Gilbert, J. R. and Larimore, S. I. and Ng, E. G.},
84	title={Algorithm 836:  {COLAMD}, a column approximate minimum degree ordering algorithm},
85	journal=TOMS, year={2004}, volume={30}, pages={377-380}}
86
87@article{ChenDavisHagerRajamanickam06,
88	author={Chen, Y. and Davis, T. A. and Hager, W. W. and Rajamanickam, S.},
89	title={Algorithm 887: {CHOLMOD}, supernodal sparse {Cholesky} factorization and update/downdate},
90	journal=TOMS, year={2009}, volume={35}, number={3}}
91
92@article{KarypisKumar98e,
93	author={Karypis, G. and Kumar, V.},
94	title={A fast and high quality multilevel scheme for partitioning irregular graphs},
95	journal=SIAMJSC, year={1998}, volume={20}}
96
97@article{ACM679a,
98	author={Dongarra, J. J. and {Du Croz}, J. and Duff, I. S. and Hammarling, S.},
99	title={A set of level-3 basic linear algebra subprograms},
100	journal=TOMS, year={1990}, volume={16}, pages={1--17}}
101
102@article{SuperLU99,
103	author={Demmel, J. W. and Eisenstat, S. C. and Gilbert, J. R. and Li, X. S. and Liu, J. W. H.},
104	title={A supernodal approach to sparse partial pivoting},
105	journal=SIMAX, year={1999}, volume={20}, pages={720-755} }
106
107@article{Davis03,
108	author={Davis, T. A.},
109	title={A column pre-ordering strategy for the unsymmetric-pattern multifrontal method},
110	journal=TOMS, year={2004}, volume={30}, pages={165--195}}
111
112@article{Davis03_algo,
113	author={Davis, T. A.},
114	title={Algorithm 832:  {UMFPACK V4.3}, an unsymmetric-pattern multifrontal method},
115	journal=TOMS, year={2002}, volume={30}, pages={196--199}}
116
117@article{Hager84,
118	author={Hager, W. W.},
119	title={Condition estimates},
120	journal=SIAMJSSC, year={1984},volume={5}, pages={311-316}}
121
122@article{HighamTisseur00,
123	author={Higham, N. J. and Tisseur, F.},
124	title={A block algorithm for matrix 1-norm estimation with an application to 1-norm pseudospectra},
125	journal=SIMAX, year={2000},volume={21},pages={1185--1201} }
126
127@techreport{Palamadai05,
128	author={Palamadai, E.},
129	title={{KLU} - a high performance sparse linear system solver for
130	    circuit simulation problems},
131	note={M.S. Thesis},
132	address={CISE Department, Univ. of Florida}}
133
134@article{DavisNatarajan10,
135    author = {Davis, Timothy A. and Palamadai Natarajan, Ekanathan},
136    title = {Algorithm 907: {KLU}, A Direct Sparse Solver for Circuit Simulation Problems},
137    journal = {ACM Trans. Math. Softw.},
138    volume = {37},
139    issue = {3},
140    month = {September},
141    year = {2010},
142    issn = {0098-3500},
143    pages = {36:1--36:17},
144    articleno = {36},
145    numpages = {17},
146    url = {http://doi.acm.org/10.1145/1824801.1824814},
147    doi = {http://doi.acm.org/10.1145/1824801.1824814},
148    acmid = {1824814},
149    publisher = {ACM},
150    address = {New York, NY, USA},
151    keywords = {LU factorization, circuit simulation, sparse matrices},
152}
153