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0001 @string{TOMS = "ACM Trans. Math. Softw."}
0002 @string{SIMAX = "SIAM J. Matrix Anal. Applic."}
0003 @string{SINUM = "SIAM J. Numer. Anal."}
0004 @string{SIAMJSC = "SIAM J. Sci. Comput."}
0005 @string{SIAMJSSC = "SIAM J. Sci. Statist. Comput."}
0006 @string{IJNME = "Internat. J. Numer. Methods Eng."}
0007 @string{SIAMJADM = "SIAM J. Alg. Disc. Meth."}
0008
0009 @article{AmestoyDavisDuff96,
0010 author={Amestoy, P. R. and Davis, T. A. and Duff, I. S.},
0011 title={An approximate minimum degree ordering algorithm},
0012 journal=SIMAX,
0013 year={1996}
0014 ,volume={17}
0015 ,number={4}
0016 ,pages={886-905}}
0017
0018 @article{AmestoyDavisDuff03,
0019 author={Amestoy, P. R. and Davis, T. A. and Duff, I. S.},
0020 title={Algorithm 837: {AMD}, an approximate minimum degree ordering algorithm},
0021 journal=TOMS,
0022 year={2004}
0023 ,volume={30}
0024 ,number={3}
0025 ,pages={381-388}}
0026
0027 @techreport{AmestoyDavisDuff03_user,
0028 author={Amestoy, P. R. and Davis, T. A. and Duff, I. S.},
0029 title={{AMD} Version 1.0 User Guide},
0030 institution={CISE Dept., Univ. of Florida},
0031 year={2003}
0032 ,number={TR-03-011}
0033 ,address={Gainesville, FL}
0034 ,note={www.cise.ufl.edu/tech-reports.}
0035 }
0036
0037 @article{Davis03,
0038 author={Davis, T. A.},
0039 title={A column pre-ordering strategy for the unsymmetric-pattern multifrontal method},
0040 journal=TOMS,
0041 year={2004}
0042 ,volume={30}
0043 ,number={2}
0044 ,pages={165-195}}
0045
0046 @article{Davis03_algo,
0047 author={Davis, T. A.},
0048 title={Algorithm 832: {UMFPACK}, an unsymmetric-pattern multifrontal method},
0049 journal=TOMS,
0050 year={2004}
0051 ,volume={30}
0052 ,number={2}
0053 ,pages={196-199}}
0054
0055 @techreport{Davis03_umf,
0056 author={Davis, T. A.},
0057 title={{UMFPACK} User Guide},
0058 institution={Univ. of Florida, CISE Dept.},
0059 year={2005}
0060 ,number={TR-04-003 (revised)}
0061 ,address={Gainesville, FL}
0062 ,note={(www.cise.ufl.edu/tech-reports)}
0063 }
0064
0065 @techreport{Davis03_umfquick,
0066 author={Davis, T. A.},
0067 title={{UMFPACK} Quick Start Guide},
0068 institution={Univ. of Florida, CISE Dept.},
0069 year={2005}
0070 ,number={TR-04-005 (revised)}
0071 ,address={Gainesville, FL}
0072 ,note={(www.cise.ufl.edu/tech-reports)}
0073 }
0074
0075 @article{DavisDuff97,
0076 author={Davis, T. A. and Duff, I. S.},
0077 title={An unsymmetric-pattern multifrontal method for sparse {LU} factorization},
0078 journal=SIMAX,
0079 year={1997}
0080 ,volume={18}
0081 ,number={1}
0082 ,pages={140-158}}
0083
0084 @article{DavisDuff99,
0085 author={Davis, T. A. and Duff, I. S.},
0086 title={A combined unifrontal/multifrontal method for unsymmetric sparse matrices},
0087 journal=TOMS,
0088 volume={25},
0089 number={1},
0090 pages={1-19},
0091 year={1999}}
0092
0093 @article{SuperLU99,
0094 author={Demmel, J. W. and Eisenstat, S. C. and Gilbert, J. R. and Li, X. S. and Liu, J. W. H.},
0095 title={A supernodal approach to sparse partial pivoting},
0096 journal=SIMAX,
0097 year={1999}
0098 ,volume={20}
0099 ,number={3}
0100 ,pages={720-755}
0101 ,note={www.netlib.org}
0102 }
0103
0104 @article{ACM679a,
0105 author={Dongarra, J. J. and Du Croz, J. and Duff, I. S. and Hammarling, S.},
0106 title={A set of level-3 basic linear algebra subprograms},
0107 journal=TOMS,
0108 year={1990}
0109 ,volume={16}
0110 ,number={1}
0111 ,pages={1--17}}
0112
0113 @article{netlib,
0114 author={Dongarra, J. J. and Grosse, E.},
0115 title={Distribution of mathematical software via electronic mail},
0116 journal={Comm. ACM},
0117 year={1987}
0118 ,volume={30}
0119 ,pages={403-407}
0120 ,note={www.netlib.org}
0121 }
0122
0123 @article{Duff78b,
0124 author={Duff, I. S. and Reid, J. K.},
0125 year={1978},
0126 title={Algorithm 529: Permutations to Block Triangular Form},
0127 journal=TOMS,
0128 volume={4},
0129 annote={f},
0130 number={2},
0131 pages={189-192},
0132 keywords={102 ordering block triangular form}}
0133
0134 @article{Duff81b,
0135 author={Duff, I. S.},
0136 year={1981},
0137 title={Algorithm 575: Permutations for a Zero-Free Diagonal},
0138 journal=TOMS,
0139 annote={f},
0140 volume={7},
0141 pages={387-390},
0142 keywords={ordering, zero-free diagonal}}
0143
0144 @techreport{GotoVandeGeijn02,
0145 author = {Goto, K. and van de Geijn, R.},
0146 title = {On Reducing {TLB} Misses in Matrix Multiplication, {FLAME} Working Note 9},
0147 institution={The University of Texas at Austin, Department of Computer Sciences},
0148 number={TR-2002-55},
0149 month={Nov.},
0150 year={2002}}
0151
0152 @article{GeorgeNg85,
0153 author={George, A. and Ng, E. G.},
0154 year={1985},
0155 title={An Implementation of {G}aussian Elimination with
0156 Partial Pivoting for Sparse Systems},
0157 journal=SIAMJSSC,
0158 volume={6},
0159 number={2},
0160 pages={390-409}}
0161
0162 @article{GeorgeNg87,
0163 author={George, A. and Ng, E. G.},
0164 year={1987},
0165 title={Symbolic Factorization for Sparse {G}aussian Elimination
0166 with Partial Pivoting},
0167 journal={SIAM J. Sci. Statist. Comput.},
0168 volume={8},
0169 number={6},
0170 pages={877-898}}
0171
0172 @article{GilbertMolerSchreiber,
0173 author={Gilbert, J. R. and Moler, C. and Schreiber, R.},
0174 title={Sparse matrices in {MATLAB}: design and implementation},
0175 journal=SIMAX,
0176 year={1992}
0177 ,volume={13}
0178 ,number={1}
0179 ,pages={333-356}}
0180
0181 @article{GilbertPeierls88,
0182 author={Gilbert, J. R. and Peierls, T.},
0183 year={1988},
0184 title={Sparse Partial Pivoting in Time Proportional to Arithmetic Operations},
0185 journal={SIAM J. Sci. Statist. Comput.},
0186 volume={9},
0187 pages={862-874}}
0188
0189 @article{Gustavson78,
0190 author={Gustavson, F. G.},
0191 year={1978},
0192 title={Two Fast Algorithms for Sparse Matrices: Multiplication and Permuted Transposition},
0193 journal=TOMS,
0194 volume={4},
0195 number={3},
0196 pages={250-269}}
0197
0198 @techreport{Larimore98,
0199 author={Larimore, S. I.},
0200 title={An approximate minimum degree column ordering algorithm},
0201 institution={Univ. of Florida, CISE Dept.},
0202 year={1998}
0203 ,number={TR-98-016}
0204 ,address={Gainesville, FL}
0205 ,note={www.cise.ufl.edu/tech-reports}}
0206
0207 @article{DavisGilbertLarimoreNg00,
0208 author={Davis, T. A. and Gilbert, J. R. and Larimore, S. I. and Ng, E. G.},
0209 title={A column approximate minimum degree ordering algorithm},
0210 journal=TOMS,
0211 year={2004}
0212 ,volume={30}
0213 ,number={3}
0214 ,pages={353-376}}
0215
0216 @article{DavisGilbertLarimoreNg00_algo,
0217 author={Davis, T. A. and Gilbert, J. R. and Larimore, S. I. and Ng, E. G.},
0218 title={Algorithm 836: {COLAMD}, a column approximate minimum degree ordering algorithm},
0219 journal=TOMS,
0220 year={2004}
0221 ,volume={30}
0222 ,number={3}
0223 ,pages={377-380}}
0224
0225 @INCOLLECTION{GilbertNg93,
0226 author = {J. R. Gilbert and E. G. Ng},
0227 editor = {A. George and J. R. Gilbert and J. W.H. Liu},
0228 year = 1993,
0229 title = {Predicting Structure in Nonsymmetric Sparse Matrix Factorizations},
0230 booktitle = {Graph Theory and Sparse Matrix Computation},
0231 series = {Volume 56 of the {IMA} Volumes in Mathematics and its Applications},
0232 pages = {107-139},
0233 publisher = {Springer-Verlag}
0234 }
0235
0236
0237 @techreport{ATLAS,
0238 author={Whaley, R. C and Petitet, A. and Dongarra, J. J.},
0239 title={Automated Emperical Optimization of Software and the {ATLAS} Project},
0240 institution={Computer Science Department, The University of Tennessee},
0241 year={2000}
0242 ,number={LAPACK Working Note 147}
0243 ,month={September}
0244 ,note={www.netlib.org/atlas}
0245 }
0246
0247 @article{DaydeDuff99,
0248 author = "M. J. Dayd\'{e} and I. S. Duff",
0249 title = "The {RISC} {BLAS}: A Blocked Implementation of Level 3 {BLAS} for {RISC} Processors",
0250 journal = TOMS,
0251 volume = "25",
0252 number = "3",
0253 month = {Sept.},
0254 year ="1999"
0255 }
0256
0257
0258 @article{ardd:89,
0259 author = {M. Arioli and J. W. Demmel and I. S. Duff},
0260 year = "1989",
0261 title = {Solving sparse linear systems with sparse backward error},
0262 journal = SIMAX,
0263 volume = {10},
0264 pages = {165-190}
0265 }
0266
0267
0268 @article{DavisHager99,
0269 author={Davis, T. A. and Hager, W. W.},
0270 title={Modifying a sparse {C}holesky factorization},
0271 journal=SIMAX,
0272 year={1999}
0273 ,volume={20}
0274 ,number={3}
0275 ,pages={606-627}
0276 }
0277
0278
0279 @article{dusc:96,
0280 author = {I. S. Duff and J. A. Scott},
0281 title = {The design of a new frontal code for solving sparse unsymmetric systems},
0282 journal = TOMS,
0283 year = "1996",
0284 volume = "22",
0285 number = "1",
0286 pages = "30-45"
0287 }
0288
0289
0290 @article{Duff78a,
0291 author={Duff, I. S. and Reid, J. K.},
0292 year={1978},
0293 title={An Implementation of {T}arjan's Algorithm for the Block Triangularization of a Matrix},
0294 journal=TOMS,
0295 volume={4},
0296 number={2},
0297 pages={137-147}
0298 }
0299
0300 @book{GeorgeLiu,
0301 author={George, A. and Liu, J. W. H.},
0302 year={1981},
0303 title={Computer Solution of Large Sparse Positive Definite Systems},
0304 publisher={Englewood Cliffs, New Jersey: Prentice-Hall}
0305 }
0306
0307 @article{GilbertNgPeyton94,
0308 author={Gilbert, J. R. and Ng, E. G. and Peyton, B. W.},
0309 title={An efficient algorithm to compute row and column counts for sparse {C}holesky factorization},
0310 journal=SIMAX,
0311 year={1994}
0312 ,volume={15}
0313 ,number={4}
0314 ,pages={1075-1091}
0315 }
0316
0317 @techreport{DuffGrimesLewis87b,
0318 author={Duff, I. S. and Grimes, R. G. and Lewis, J. G.},
0319 year={1987},
0320 title={Users' Guide for the Harwell-Boeing Sparse Matrix Test Collection},
0321 institution={AERE Harwell Laboratory, United Kingdom Atomic Energy Authority}}
0322