UserGuide.bib
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@string{TOMS = "ACM Trans. Math. Softw."}
@string{SIMAX = "SIAM J. Matrix Anal. Applic."}
@string{SINUM = "SIAM J. Numer. Anal."}
@string{SIAMJSC = "SIAM J. Sci. Comput."}
@string{SIAMJSSC = "SIAM J. Sci. Statist. Comput."}
@string{IJNME = "Internat. J. Numer. Methods Eng."}
@string{SIAMJADM = "SIAM J. Alg. Disc. Meth."}
@article{AmestoyDavisDuff96,
author={Amestoy, P. R. and Davis, T. A. and Duff, I. S.},
title={An approximate minimum degree ordering algorithm},
journal=SIMAX,
year={1996}
,volume={17}
,number={4}
,pages={886-905}}
@article{AmestoyDavisDuff03,
author={Amestoy, P. R. and Davis, T. A. and Duff, I. S.},
title={Algorithm 837: {AMD}, an approximate minimum degree ordering algorithm},
journal=TOMS,
year={2004}
,volume={30}
,number={3}
,pages={381-388}}
@techreport{AmestoyDavisDuff03_user,
author={Amestoy, P. R. and Davis, T. A. and Duff, I. S.},
title={{AMD} Version 1.0 User Guide},
institution={CISE Dept., Univ. of Florida},
year={2003}
,number={TR-03-011}
,address={Gainesville, FL}
,note={www.cise.ufl.edu/tech-reports.}
}
@article{Davis03,
author={Davis, T. A.},
title={A column pre-ordering strategy for the unsymmetric-pattern multifrontal method},
journal=TOMS,
year={2004}
,volume={30}
,number={2}
,pages={165-195}}
@article{Davis03_algo,
author={Davis, T. A.},
title={Algorithm 832: {UMFPACK}, an unsymmetric-pattern multifrontal method},
journal=TOMS,
year={2004}
,volume={30}
,number={2}
,pages={196-199}}
@techreport{Davis03_umf,
author={Davis, T. A.},
title={{UMFPACK} User Guide},
institution={Univ. of Florida, CISE Dept.},
year={2005}
,number={TR-04-003 (revised)}
,address={Gainesville, FL}
,note={(www.cise.ufl.edu/tech-reports)}
}
@techreport{Davis03_umfquick,
author={Davis, T. A.},
title={{UMFPACK} Quick Start Guide},
institution={Univ. of Florida, CISE Dept.},
year={2005}
,number={TR-04-005 (revised)}
,address={Gainesville, FL}
,note={(www.cise.ufl.edu/tech-reports)}
}
@article{DavisDuff97,
author={Davis, T. A. and Duff, I. S.},
title={An unsymmetric-pattern multifrontal method for sparse {LU} factorization},
journal=SIMAX,
year={1997}
,volume={18}
,number={1}
,pages={140-158}}
@article{DavisDuff99,
author={Davis, T. A. and Duff, I. S.},
title={A combined unifrontal/multifrontal method for unsymmetric sparse matrices},
journal=TOMS,
volume={25},
number={1},
pages={1-19},
year={1999}}
@article{SuperLU99,
author={Demmel, J. W. and Eisenstat, S. C. and Gilbert, J. R. and Li, X. S. and Liu, J. W. H.},
title={A supernodal approach to sparse partial pivoting},
journal=SIMAX,
year={1999}
,volume={20}
,number={3}
,pages={720-755}
,note={www.netlib.org}
}
@article{ACM679a,
author={Dongarra, J. J. and Du Croz, J. and Duff, I. S. and Hammarling, S.},
title={A set of level-3 basic linear algebra subprograms},
journal=TOMS,
year={1990}
,volume={16}
,number={1}
,pages={1--17}}
@article{netlib,
author={Dongarra, J. J. and Grosse, E.},
title={Distribution of mathematical software via electronic mail},
journal={Comm. ACM},
year={1987}
,volume={30}
,pages={403-407}
,note={www.netlib.org}
}
@article{Duff78b,
author={Duff, I. S. and Reid, J. K.},
year={1978},
title={Algorithm 529: Permutations to Block Triangular Form},
journal=TOMS,
volume={4},
annote={f},
number={2},
pages={189-192},
keywords={102 ordering block triangular form}}
@article{Duff81b,
author={Duff, I. S.},
year={1981},
title={Algorithm 575: Permutations for a Zero-Free Diagonal},
journal=TOMS,
annote={f},
volume={7},
pages={387-390},
keywords={ordering, zero-free diagonal}}
@techreport{GotoVandeGeijn02,
author = {Goto, K. and van de Geijn, R.},
title = {On Reducing {TLB} Misses in Matrix Multiplication, {FLAME} Working Note 9},
institution={The University of Texas at Austin, Department of Computer Sciences},
number={TR-2002-55},
month={Nov.},
year={2002}}
@article{GeorgeNg85,
author={George, A. and Ng, E. G.},
year={1985},
title={An Implementation of {G}aussian Elimination with
Partial Pivoting for Sparse Systems},
journal=SIAMJSSC,
volume={6},
number={2},
pages={390-409}}
@article{GeorgeNg87,
author={George, A. and Ng, E. G.},
year={1987},
title={Symbolic Factorization for Sparse {G}aussian Elimination
with Partial Pivoting},
journal={SIAM J. Sci. Statist. Comput.},
volume={8},
number={6},
pages={877-898}}
@article{GilbertMolerSchreiber,
author={Gilbert, J. R. and Moler, C. and Schreiber, R.},
title={Sparse matrices in {MATLAB}: design and implementation},
journal=SIMAX,
year={1992}
,volume={13}
,number={1}
,pages={333-356}}
@article{GilbertPeierls88,
author={Gilbert, J. R. and Peierls, T.},
year={1988},
title={Sparse Partial Pivoting in Time Proportional to Arithmetic Operations},
journal={SIAM J. Sci. Statist. Comput.},
volume={9},
pages={862-874}}
@article{Gustavson78,
author={Gustavson, F. G.},
year={1978},
title={Two Fast Algorithms for Sparse Matrices: Multiplication and Permuted Transposition},
journal=TOMS,
volume={4},
number={3},
pages={250-269}}
@techreport{Larimore98,
author={Larimore, S. I.},
title={An approximate minimum degree column ordering algorithm},
institution={Univ. of Florida, CISE Dept.},
year={1998}
,number={TR-98-016}
,address={Gainesville, FL}
,note={www.cise.ufl.edu/tech-reports}}
@article{DavisGilbertLarimoreNg00,
author={Davis, T. A. and Gilbert, J. R. and Larimore, S. I. and Ng, E. G.},
title={A column approximate minimum degree ordering algorithm},
journal=TOMS,
year={2004}
,volume={30}
,number={3}
,pages={353-376}}
@article{DavisGilbertLarimoreNg00_algo,
author={Davis, T. A. and Gilbert, J. R. and Larimore, S. I. and Ng, E. G.},
title={Algorithm 836: {COLAMD}, a column approximate minimum degree ordering algorithm},
journal=TOMS,
year={2004}
,volume={30}
,number={3}
,pages={377-380}}
@INCOLLECTION{GilbertNg93,
author = {J. R. Gilbert and E. G. Ng},
editor = {A. George and J. R. Gilbert and J. W.H. Liu},
year = 1993,
title = {Predicting Structure in Nonsymmetric Sparse Matrix Factorizations},
booktitle = {Graph Theory and Sparse Matrix Computation},
series = {Volume 56 of the {IMA} Volumes in Mathematics and its Applications},
pages = {107-139},
publisher = {Springer-Verlag}
}
@techreport{ATLAS,
author={Whaley, R. C and Petitet, A. and Dongarra, J. J.},
title={Automated Emperical Optimization of Software and the {ATLAS} Project},
institution={Computer Science Department, The University of Tennessee},
year={2000}
,number={LAPACK Working Note 147}
,month={September}
,note={www.netlib.org/atlas}
}
@article{DaydeDuff99,
author = "M. J. Dayd\'{e} and I. S. Duff",
title = "The {RISC} {BLAS}: A Blocked Implementation of Level 3 {BLAS} for {RISC} Processors",
journal = TOMS,
volume = "25",
number = "3",
month = {Sept.},
year ="1999"
}
@article{ardd:89,
author = {M. Arioli and J. W. Demmel and I. S. Duff},
year = "1989",
title = {Solving sparse linear systems with sparse backward error},
journal = SIMAX,
volume = {10},
pages = {165-190}
}
@article{DavisHager99,
author={Davis, T. A. and Hager, W. W.},
title={Modifying a sparse {C}holesky factorization},
journal=SIMAX,
year={1999}
,volume={20}
,number={3}
,pages={606-627}
}
@article{dusc:96,
author = {I. S. Duff and J. A. Scott},
title = {The design of a new frontal code for solving sparse unsymmetric systems},
journal = TOMS,
year = "1996",
volume = "22",
number = "1",
pages = "30-45"
}
@article{Duff78a,
author={Duff, I. S. and Reid, J. K.},
year={1978},
title={An Implementation of {T}arjan's Algorithm for the Block Triangularization of a Matrix},
journal=TOMS,
volume={4},
number={2},
pages={137-147}
}
@book{GeorgeLiu,
author={George, A. and Liu, J. W. H.},
year={1981},
title={Computer Solution of Large Sparse Positive Definite Systems},
publisher={Englewood Cliffs, New Jersey: Prentice-Hall}
}
@article{GilbertNgPeyton94,
author={Gilbert, J. R. and Ng, E. G. and Peyton, B. W.},
title={An efficient algorithm to compute row and column counts for sparse {C}holesky factorization},
journal=SIMAX,
year={1994}
,volume={15}
,number={4}
,pages={1075-1091}
}
@techreport{DuffGrimesLewis87b,
author={Duff, I. S. and Grimes, R. G. and Lewis, J. G.},
year={1987},
title={Users' Guide for the Harwell-Boeing Sparse Matrix Test Collection},
institution={AERE Harwell Laboratory, United Kingdom Atomic Energy Authority}}