refsLinAlgebra.bib

%========================================================================
% SaP
%========================================================================


@PHDTHESIS{angPhDThesis2016,
  author = {Li, Ang},
  title = {{A Splitting Approach for the Parallel Solution of Linear Systems on GPU Cards}},
  school = {{Department of Mechanical Engineering, University of Wisconsin--Madison},
	\url{http://sbel.wisc.edu/documents/AngLiThesis_PhDfinal.pdf}},
  year = {2016},
  type = {{PhD} thesis}
}


@article{SaKu1978,
author={Sameh, A.H. and Kuck, D.J.},
title={On Stable Parallel Linear System Solvers},
journal={JACM},
volume={25},
number={1},
pages={81-91},
year={1978}
}

@article{threeWalls2007,
  title={The many-core inflection point for mass market computer systems},
  author={Manferdelli, John L},
  journal={CTWatch Quarterly},
  volume={3},
  number={1},
  pages={11--17},
  year={2007}
}

@inproceedings{cuthill1969reducing,
  title={Reducing the bandwidth of sparse symmetric matrices},
  author={Cuthill, E. and McKee, J.},
  booktitle={Proceedings of the 1969 24th {N}ational {C}onference ACM},
  pages={157--172},
  year={1969},
  organization={ACM}
}

@book{saad2003iterative,
  title={Iterative methods for sparse linear systems},
  author={Saad, Y.},
  year={2003},
  publisher={Society for Industrial and Applied Mathematics}
}

@article{schenk2004solving,
  title={Solving unsymmetric sparse systems of linear equations with {P}ardiso},
  author={Schenk, O. and G{\"a}rtner, K.},
  journal={Future Generation Computer Systems},
  volume={20},
  number={3},
  pages={475--487},
  year={2004},
  publisher={Elsevier}
}

@article{swarztrauber1977methods,
    title={The methods of cyclic reduction, Fourier analysis and the FACR algorithm for the discrete solution of Poisson's equation on a rectangle},
    author={Swarztrauber, Paul N},
    journal={Siam Review},
    volume={19},
    number={3},
    pages={490--501},
    year={1977},
    publisher={SIAM}
}

@article{gander1997cyclic,
    title={Cyclic reduction—history and applications},
    author={Gander, Walter and Golub, Gene H},
    journal={Scientific computing (Hong Kong, 1997)},
    pages={73--85},
    year={1997}
}

@article{demmel2011superlu,
  title={{SuperLU Users' Guide}},
  author={Demmel, James W.},
  journal={Lawrence Berkeley National Laboratory},
  year={2011}
}

@article{PoSa2006,
author = {Polizzi, E. and Sameh, A.H.},
title = {A parallel hybrid banded system solver: the {SPIKE} algorithm},
journal = {Parallel Computing},
volume = {32},
number = {2},
pages = {177-194},
year = {2006} 
}

@article{PoSa2007,
author = {Polizzi, E. and Sameh, A.H.},
title = {{SPIKE}: A parallel environment for solving banded linear systems},
journal = {Computers \& Fluids},
volume = {36},
number = {1},
pages = {113 - 120},
year = {2007}
}

@article{MiMa2008,
  author    = {Mikkelsen, C.C.K. and Manguoglu, M.},
  title     = {Analysis of the Truncated {SPIKE} Algorithm},
  journal   = {SIAM J. Matrix Analysis Applications},
  volume    = {30},
  number    = {4},
  year      = {2008},
  pages     = {1500-1519}
}

@inproceedings{MSC2009,
author={Manguoglu, M. and Sameh, A.H. and Schenk, O.},
title={{PSPIKE}: A Parallel Hybrid Sparse Linear System Solver},
booktitle={Proceedings of the 15th International Euro-Par Conference on Parallel Processing},
publisher={ Springer-Verlag},
address={Delft, The Netherlands},
pages={797-808},
year={2009}
}

@article{olschowka1996new,
	title={A new pivoting strategy for {G}aussian elimination},
	author={Olschowka, Markus and Neumaier, Arnold},
	journal={Linear Algebra and its Applications},
	volume={240},
	pages={131--151},
	year={1996},
	publisher={Elsevier}
}

@article{li2015analysis,
    title={Analysis of A Splitting Approach for the Parallel Solution of Linear Systems on {GPU} Cards},
    author={Li, Ang and Serban, Radu and Negrut, Dan},
    journal={arXiv preprint arXiv:1509.07919},
    year={2015}
}
@TECHREPORT{AngSaPGPU-2015,
  author = {A. Li and R. Serban and D. Negrut},
  title={{Analysis of A Splitting Approach for the Parallel Solution of Linear Systems on GPU Cards}},
  institution = {Simulation-Based Engineering Laboratory, University of Wisconsin-Madison},
  year = {2015},
  number = {TR-2015-12: \url{http://sbel.wisc.edu/documents/TR-2015-12.pdf}}
}

% =====================================
% reordering
% =====================================

@article{Duff1981,
author={Duff, I.S.},
title={Algorithm 575: Permutations for a zero-free diagonal {[F1]}},
journal={ACM Transactions on Mathematical Software (TOMS)},
year={1981},
volume={7},
number={3},
pages={387-390}
}

@article{DuKo1999,
author={Duff, I.S. and Koster, J.},
title={The design and use of algorithms for permuting large entries to the diagonal of sparse matrices},
journal={SIAM J. Matrix Analysis and Applications},
year={1999},
volume={20},
number={4},
pages={889-901}
}

@article{DuKo2001,
	author={Duff, I.S. and Koster, J.},
	title={On algorithms for permuting large entries to the diagonal of a sparse matrix},
	journal={SIAM J. Matrix Analysis and Applications},
	year={2001},
	volume={22},
	number={4},
	pages={973}
}

@article{carpaneto1980algorithm,
	title={Algorithm 548: Solution of the assignment problem [H]},
	author={Carpaneto, Giorgio and Toth, Paolo},
	journal={ACM Transactions on Mathematical Software (TOMS)},
	volume={6},
	number={1},
	pages={104--111},
	year={1980},
	publisher={ACM}
}

@article{kuhn1955hungarian,
	title={The {H}ungarian method for the assignment problem},
	author={Kuhn, Harold W},
	journal={Naval research logistics quarterly},
	volume={2},
	number={1-2},
	pages={83--97},
	year={1955},
	publisher={Wiley Online Library}
}

@book{burkhard1980assignment,
	title={Assignment and matching problems: Solution methods with {FORTRAN}-programs},
	author={Burkhard, RE and Derigs, Ulrich},
	year={1980},
	publisher={Springer-Verlag New York, Inc.}
}

@article{carraresi1986efficient,
	title={An efficient algorithm for the bipartite matching problem},
	author={Carraresi, Paolo and Sodini, Claudio},
	journal={European journal of operational research},
	volume={23},
	number={1},
	pages={86--93},
	year={1986},
	publisher={Elsevier}
}

@article{derigs1986efficient,
	title={An efficient labeling technique for solving sparse assignment problems},
	author={Derigs, Ulrich and Metz, Achim},
	journal={Computing},
	volume={36},
	number={4},
	pages={301--311},
	year={1986},
	publisher={Springer}
}

@article{jonker1987shortest,
	title={A shortest augmenting path algorithm for dense and sparse linear assignment problems},
	author={Jonker, Roy and Volgenant, Anton},
	journal={Computing},
	volume={38},
	number={4},
	pages={325--340},
	year={1987},
	publisher={Springer}
}

@article{edmonds1972theoretical,
	title={Theoretical improvements in algorithmic efficiency for network flow problems},
	author={Edmonds, Jack and Karp, Richard M},
	journal={Journal of the ACM (JACM)},
	volume={19},
	number={2},
	pages={248--264},
	year={1972},
	publisher={ACM}
}

@article{dijkstra1959note,
	title={A note on two problems in connexion with graphs},
	author={Dijkstra, Edsger W},
	journal={Numerische mathematik},
	volume={1},
	number={1},
	pages={269--271},
	year={1959},
	publisher={Springer}
}

@article{BPS1995,
author={Barnard, S.T. and Pothen, A. and Simon, H.},
title={A spectral algorithm for envelope reduction of sparse matrices},
journal={Numerical Linear Algebra with Applications},
year={1995},
volume={2},
number={4},
pages={317-334}
}

@article{HuSc2001,
author={Hu, Y.F. and Scott, J.A.},
title={Multilevel Algorithms for Wavefront Reduction},
journal={SIAM Journal of Scientific Computing},
year={2001},
volume={23},
number={4},
pages={1352-1375}
}

@inproceedings{CuMc1969,
author={Cuthill, E. and McKee, J.},
title={Reducing the bandwidth of sparse symmetric matrices},
year={1969},
booktitle={Proceedings of the 24th ACM Conference},
address={New York},
pages={157-172}
}

@inproceedings{karantasis2014parallelization,
	title={Parallelization of reordering algorithms for bandwidth and wavefront reduction},
	author={Karantasis, Konstantinos I and Lenharth, Andrew and Nguyen, Donald and Garzaran, Mara J and Pingali, Keshav},
	booktitle={High Performance Computing, Networking, Storage and Analysis, SC14: International Conference for},
	pages={921--932},
	year={2014},
	organization={IEEE}
}

@article{sloan1986algorithm,
	title={An algorithm for profile and wavefront reduction of sparse matrices},
	author={Sloan, SW},
	journal={International Journal for Numerical Methods in Engineering},
	volume={23},
	number={2},
	pages={239--251},
	year={1986},
	publisher={Wiley Online Library}
}

@book{heggernes1996finding,
    title={Finding good column orderings for sparse QR factorization},
    author={Heggernes, Pinar and Matstoms, Pontus},
    year={1996},
    publisher={University of Link{\"o}ping, Department of Mathematics}
}

% =====================================
% libraries, hardware
% =====================================

@misc{MKL,
title={{I}ntel {M}ath {K}ernel {L}ibrary ({I}ntel {MKL}) 11.0},
howpublished={\url{http://software.intel.com/en-us/intel-mkl}},
year={2012}
}

@incollection{wang2014intel,
    title={Intel math kernel library},
    author={Wang, Endong and Zhang, Qing and Shen, Bo and Zhang, Guangyong and Lu, Xiaowei and Wu, Qing and Wang, Yajuan},
    booktitle={High-Performance Computing on the Intel{\textregistered} Xeon Phi.},
    pages={167--188},
    year={2014},
    publisher={Springer}
}

@article{pardiso,
author={Schenk, O. and Gartner, K. and Fichtner, W and Stricker, A.},
title={{PARDISO}: a high-performance serial and parallel sparse linear solver in semiconductor device simulation},
journal={Future Generation Computer Systems},
volume={18},
number={1},
pages={69-78},
year={2001}
}

@techreport{HSL,
    title={Harwell Subroutine Library. A Catalogue of Subroutines (1973)},
    author={Hopper, MJ},
    year={1973},
    institution={DTIC Document}
}

@inproceedings{OSKI,
    title={OSKI: A library of automatically tuned sparse matrix kernels},
    author={Vuduc, Richard and Demmel, James W and Yelick, Katherine A},
    booktitle={Journal of Physics: Conference Series},
    volume={16},
    number={1},
    pages={521},
    year={2005},
    organization={IOP Publishing}
}

@MISC{Thrust2010,
  author = "Hoberock, J. and Bell, N.",
  title = "Thrust: A Parallel Template Library",
  year = "2010",
  url = "http://thrust.github.io/",
  note = "Version 1.7.0"
}


@article{testSparseMatricesSaP,
  author = {{SaP::GPU}},
  title = {{Sparse matrices used for benchmarking SaP::GPU}},
  year = "2015",
  journal = {URL: \url{http://sbel.wisc.edu/documents/testSparseMatricesSaP.zip}}
}

@MISC{SaPGPU-nightlyTestResults,
  author = {{SaP::GPU}},
  title = {{Nightly tests results}},
  year = "2015",
  url = {\url{http://sapgpu.sbel.org/nightly_build/}}
}

@MISC{SaP-GPU-website,
  author = {{SaP::GPU}},
  title = {{SaP::GPU -- Split-and-Parallelize, a GPU parallel solution for sparse linear systems}},
  year = "2015",
  url = {\url{http://sapgpu.sbel.org}}
}

@article{bell2011thrust,
  title={Thrust: A productivity-oriented library for CUDA},
  author={Bell, Nathan and Hoberock, Jared},
  journal={{GPU computing gems -- Jade edition}},
  volume={2},
  pages={359--371},
  year={2011},
  publisher={Elsevier}
}

@MISC{CUSP2012,
  author = "Bell, N. and Garland, M.",
  title = "Cusp: Generic Parallel Algorithms for Sparse Matrix and Graph Computations",
  year = "2012",
  url = "http://cusplibrary.github.io/",
  note = "Version 0.3.0"
}

@article{blackford2002updated,
    title={An updated set of basic linear algebra subprograms ({BLAS})},
    author={Blackford, L Susan and Petitet, Antoine and Pozo, Roldan and Remington, Karin and Whaley, R Clint and Demmel, James and Dongarra, Jack and Duff, Iain and Hammarling, Sven and Henry, Greg and others},
    journal={ACM Transactions on Mathematical Software},
    volume={28},
    number={2},
    pages={135--151},
    year={2002}
}

@inproceedings{anderson1990lapack,
    title={{LAPACK}: {A} portable linear algebra library for high-performance computers},
    author={Anderson, Edward and Bai, Zhaojun and Dongarra, Jack and Greenbaum, Anne and McKenney, Alan and Du Croz, Jeremy and Hammerling, Sven and Demmel, James and Bischof, C and Sorensen, Danny},
    booktitle={Proceedings of the 1990 ACM/IEEE conference on Supercomputing},
    pages={2--11},
    year={1990},
    organization={IEEE Computer Society Press}
}

@techreport{PETSc2011,
     title = {{PETSc Users Manual}},
     author = {Balay, S. and Brown, J. and Buschelman, K. and Eijkhout, V. and Gropp, W. D. and Kaushik, D. and Knepley, M. G. and McInnes, L. C. and Smith, B. F. and Zhang, H.},
     year = {2011},
     institution = {Argonne National Laboratory},
    number = {ANL-95/11}
}

@article{cuSOLVER,
	title={{cuSOLVER}},
    author={NVIDIA},
	journal={URL https://developer.nvidia.com/cusolver},
	year={2015}
}

@article{MUMPSamestoy2000multifrontal,
    title={Multifrontal parallel distributed symmetric and unsymmetric solvers},
    author={Amestoy, Patrick R and Duff, Iain S and L'Excellent, J-Y},
    journal={Computer methods in applied mechanics and engineering},
    volume={184},
    number={2},
    pages={501--520},
    year={2000},
    publisher={Elsevier}
}

@article{lukarski2014paralution,
    title={PARALUTION Project},
    author={Lukarski, Dimitar and Trost, Nico},
    journal={URL http://www.paralution.com. Accessed: December},
    year={2014}
}

@article{intel-xeon,
    title={Intel Xeon Processor E5-2690 v2},
    author={Intel},
    journal={URL http://ark.intel.com/products/75279/Intel-Xeon-Processor-E5-2690-v2-25M-Cache-3\_00-GHz. Accessed: 2016-04-30},
    year={2013}
}

@article{CUDA,
    title={{CUDA Parallel Computing Platform}},
    author={NVIDIA},
    journal={URL http://www.nvidia.com/object/cuda\_home\_new.html}
}

% =====================================
% Krylov methods
% =====================================

@article{Vorst1992,
author={Van der Vorst, H.A.},
title={{Bi-CGSTAB}: A Fast and smooth Converging Variant of {Bi-CG} for the Solution of Nonsymmetric Linear systems},
journal={SIAM J. Scientific and Statistical Computing},
volume={13},
number={2},
pages={631-644},
year={1992}
}

@article{Gutknecht1993,
author={Gutknecht, M.},
title={Variants of {BICGSTAB} for Matrices with Complex Spectrum},
journal={{SIAM} J. Sci. Comput.},
volume={14},
pages={1020-1033},
year={1993}
}

@article{SlFo1993,
author={Sleijpen, G.L. and Fokkema, D.R.},
title={{BiCGStab}(l) for linear equations involving unsymmetric matrices with complex spectrum},
journal={ETNA},
volume={1},
pages={11-32},
year={1993}
}

@article{HeSt1952,
author={Hestenes, M.R. and Stiefel, E.},
title={Methods of Conjugate Gradients for Solving Linear Systems},
journal={J. of Research of the Natl. Bureau of Standards},
volume={49},
number={6},
year={1952}
}

@article{hestenes1969multiplier,
  title={Multiplier and gradient methods},
  author={Hestenes, Magnus R},
  journal={Journal of optimization theory and applications},
  volume={4},
  number={5},
  pages={303--320},
  year={1969},
  publisher={Springer}
}

@article{sonneveld1989cgs,
	title={{CGS}, a fast {L}anczos-type solver for nonsymmetric linear systems},
	author={Sonneveld, Peter},
	journal={SIAM Journal on Scientific and Statistical Computing},
	volume={10},
	number={1},
	pages={36--52},
	year={1989},
	publisher={SIAM}
}

@misc{shewchuk1994introduction,
	title={An introduction to the conjugate gradient method without the agonizing pain},
	author={Shewchuk, Jonathan Richard},
	year={1994},
	publisher={Carnegie Mellon University, Pittsburgh, PA}
}

@techreport{GouldOrbanRees2013,
     title = {{ Projected {K}rylov Methods for Saddle-Point Systems}},
     author = {N. Gould and D. Orban and T. Rees},
     year = {2013},
     institution = {Cahier du {GERAD}, Ecole Polytechnique, Montreal, Canada},
    number = {G-2013-23}
}

@book{vdVorst2003,
	author = {H.A. van der Vorst},
	title = {Iterative {K}rylov methods for large linear systems},
	publisher = {Cambridge University Press},
	address = {Cambridge},
	year = {2003}
}

@incollection{gutknecht2007brief,
	title={A brief introduction to {K}rylov space methods for solving linear systems},
	author={Gutknecht, Martin H},
	booktitle={Frontiers of Computational Science},
	pages={53--62},
	year={2007},
	publisher={Springer}
}

@article{simoncini2002flexible,
	title={Flexible inner-outer {K}rylov subspace methods},
	author={Simoncini, Valeria and Szyld, Daniel B},
	journal={SIAM Journal on Numerical Analysis},
	volume={40},
	number={6},
	pages={2219--2239},
	year={2002},
	publisher={SIAM}
}

@book{saad1989overview,
	title={Overview of {K}rylov subspace methods with applications to control problems},
	author={Saad, Youcef},
	year={1989},
	publisher={Research Institute for Advanced Computer Science, NASA Ames Research Center}
}

@incollection{fletcher1976conjugate,
	title={Conjugate gradient methods for indefinite systems},
	author={Fletcher, Roger},
	booktitle={Numerical Analysis},
	pages={73--89},
	year={1976},
	publisher={Springer}
}

@article{gaglianoorthonormallzation,
    title={ORTHONORMALlZATION ON THE PLANE: A GEOMETRIC APPROACH},
    author={Gagliano, ER and Qufmica, Industria}
}

@article{voevodin1983question,
    title={The question of non-self-adjoint extension of the conjugate gradients method is closed},
    author={Voevodin, VV},
    journal={USSR Computational Mathematics and Mathematical Physics},
    volume={23},
    number={2},
    pages={143--144},
    year={1983},
    publisher={Elsevier}
}

@article{faber1984necessary,
    title={Necessary and sufficient conditions for the existence of a conjugate gradient method},
    author={Faber, Vance and Manteuffel, Thomas},
    journal={SIAM Journal on Numerical Analysis},
    volume={21},
    number={2},
    pages={352--362},
    year={1984},
    publisher={SIAM}
}

% =====================================
% Others (other topics, tech reports, misc)
% =====================================

@article{clark2010solving,
	title={Solving Lattice QCD systems of equations using mixed precision solvers on GPUs},
	author={Clark, MA and Babich, R and Barros, K and Brower, RC and Rebbi, C},
	journal={Computer Physics Communications},
	volume={181},
	number={9},
	pages={1517-1528},
	year={2010},
	publisher={Elsevier}
}

@article{davis2011university,
	title={The University of Florida sparse matrix collection},
	author={Davis, Timothy A and Hu, Yifan},
	journal={ACM Transactions on Mathematical Software (TOMS)},
	volume={38},
	number={1},
	pages={1},
	year={2011},
	publisher={ACM}
}

@phdthesis{PaduaHaiek:1980:MDT:909338,
 author = {Padua Haiek, David Alejandro},
 title = {Multiprocessors: Discussion of Some Theoretical and Practical Problems},
 year = {1980},
 note = {AAI8018194},
 publisher = {University of Illinois at Urbana-Champaign},
 address = {Champaign, IL, USA},
} 

@article{angRaduDanSIAM2017,
	author = {Ang Li and Radu Serban and Dan Negrut},
	title = {Analysis of a Splitting Approach for the Parallel Solution of Linear Systems on GPU Cards},
	journal = {SIAM Journal on Scientific Computing},
	volume = {39},
	number = {3},
	pages = {C215-C237},
	year = {2017},
	doi = {10.1137/15M1039523},
	URL = {https://doi.org/10.1137/15M1039523},
	eprint = {https://doi.org/10.1137/15M1039523}
}


@misc{parallelReordering,
	title={{P}arallel {R}eordering: Graph Processing on the Dark Side of {BFS}}, 
	howpublished={http://i2pc.cs.illinois.edu/public\_archive/karantasis-i2pc.pdf},
	year={2013}
}

@TECHREPORT{OmkarNegrut2014,
  author = {O. Deshmukh and D. Negrut},
  title = {{Characterization of Intel Xeon Phi for Linear Algebra Workloads}},
  institution = {Simulation-Based Engineering Laboratory, University of Wisconsin-Madison},
  year = {2014},
  number = {TR-2014-03: \url{http://sbel.wisc.edu/documents/TR-2014-03.pdf}}
}

% =========================================
% Theoretical Results
% =========================================

% Jay MS thesis - Implicit Function theorem (among many many analysis results)
@book{rudin1976principles,
  title={Principles of mathematical analysis},
  author={Rudin, Walter and others},
  volume={3},
  year={1976},
  publisher={McGraw-hill New York}
}

% =====================================

@article{PaigeSaunders1975,
author={C.C. Paige and M.A. Saunders},
title={Solution of sparse indefinite systems of linear equations},
journal={{SIAM} J. on Numerical Analysis},
volume={12},
number={4},
pages={617-629},
year={1975}
}



@article{Fiedler1973,
author={M. Fiedler},
title={Algebraic connectivity of graphs},
journal={Czechoslovak Mathematical Journal},
volume={23},
pages={298-305},
year={1973}
}


@article{SaP_git,
	title={{SaP::GPU Github}},
    author={SBEL},
    institution={SBEL, University of Wisconsin - Madison},
	journal={URL {\url{https://github.com/spikegpu/SaPLibrary}}},
    note = {Accessed: 2015-02-07}
}

@article{SaPWebsite,
	title={{SaP::GPU Website}},
    author={SBEL},
    institution={SBEL, University of Wisconsin - Madison},
	journal={URL {\url{http://sapgpu.sbel.org}}},
    note = {Accessed: 2016-03-29}
}

@techreport{SpikeTR,
	author={Li, A. and Serban, R. and Negrut, D.},
	title={A {SPIKE}-based Approach for the Parallel Solution of Sparse Linear Systems on {GPU} Cards},
	institution={SBEL, University of Wisconsin - Madison},
	year={2013},
	number={TR-2013-05--\url{http://sbel.wisc.edu/documents/TR-2013-05.pdf}}
}

@techreport{SpMV-TR2015,
	author={Li, A. and H. Mazhar and Serban, R. and Negrut, D.},
	title={{Comparison of SPMV performance on matrices with different matrix format using CUSP, cuSPARSE and ViennaCL}},
	institution={SBEL, University of Wisconsin - Madison},
	year={2015},
	number={TR-2015-02--\url{http://sbel.wisc.edu/documents/TR-2015-02.pdf}}
}

@book{lapack,
  title={{LAPACK Users' guide}},
  author={Anderson, Edward and Bai, Zhaojun and Bischof, Christian and Blackford, Susan and Demmel, James and Dongarra, Jack and Du Croz, Jeremy and Greenbaum, Anne and Hammerling, S and McKenney, Alan and others},
  volume={9},
  year={1999},
  publisher={{SIAM}}
}


@MastersThesis{luningPDIP2014,
    author  = {Luning Fang},
    title   = {{A Primal-Dual Interior Point Method for Solving Multibody Dynamics Problems with Frictional Contact}},
    school  = {University of Wisconsin-Madison},
    address = {Madison, WI, USA},
    year    = {2014},
}

@phdthesis{heyn2013modeling,
	title   = {On the modeling, simulation, and visualization of many-body dynamics problems with friction and contact},
	author  ={Heyn, Toby D},
	year    ={2013},
	school  ={THE UNIVERSITY OF WISCONSIN-MADISON}
}

@misc{hardwarePrimer,
	titel   ={{P}rimer: {E}lements of {P}rocessor {A}rchitecture. {T}he {H}ardware/{S}oftware {I}nterplay},
	author  ={D. Negrut},
	howpublished={http://sbel.wisc.edu/Courses/ME964/Literature/primerHW-SWinterface.pdf},
	year    ={2013}
}

@misc{SuperLU,
	title={Super{LU} ({S}upernodal {LU})},
	howpublished={http://crd-legacy.lbl.gov/$\sim$xiaoye/SuperLU/}
}

@article{li2005overview,
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    number={3},
    pages={302--325},
    year={2005},
    publisher={ACM}
}

@incollection{sao2014distributed,
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	year={2014},
	publisher={Springer}
}

@article{SBEL,
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	year={2006}
}

@article{dongarra2000guest,
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	publisher={AIP Publishing}
}

@book{avriel2003nonlinear,
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@book{golub2012matrix,
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@article{colella2004defining,
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    author={Colella, Phillip},
    year={2004},
    publisher={presentation}
}

@techreport{asanovic2006landscape,
    title={The landscape of parallel computing research: A view from berkeley},
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    year={2006},
    institution={Technical Report UCB/EECS-2006-183, EECS Department, University of California, Berkeley}
}

@book{nielsen2016neural,
    title={{Neural Networks and Deep Learning}},
    author={Nielsen, Michael},
    year={2016},
    howpublished={http://neuralnetworksanddeeplearning.com}
}

@book{suli2003introduction,
    title={An introduction to numerical analysis},
    author={S{\"u}li, Endre and Mayers, David F},
    year={2003},
    publisher={Cambridge university press}
}

@misc{brIntScheme,
    title={Brief Explanation of Integration Schemes},
    author={Foster, John T.},
    howpublished={http://engineering.utsa.edu/{\textasciitilde}foster/ME4603/files/integration.pdf}
}

@article{xu2014solving,
    title={Solving nonlinear equations with the {Newton--Krylov} method based on automatic differentiation},
    author={Xu, Wei and Coleman, Thomas F},
    journal={Optimization Methods and Software},
    volume={29},
    number={1},
    pages={88--101},
    year={2014},
    publisher={Taylor \& Francis}
}

@article{knoll2004jacobian,
    title={Jacobian-free {Newton--Krylov} methods: a survey of approaches and applications},
    author={Knoll, Dana A and Keyes, David E},
    journal={Journal of Computational Physics},
    volume={193},
    number={2},
    pages={357--397},
    year={2004},
    publisher={Elsevier}
}

@article{dolan2002benchmarking,
  title={Benchmarking optimization software with performance profiles},
  author={Dolan, Elizabeth D and Mor{\'e}, Jorge J},
  journal={Mathematical programming},
  volume={91},
  number={2},
  pages={201--213},
  year={2002},
  publisher={Springer}
}

@misc{cuSparse2014,
	title={The cuSparse Library},
	author={\relax{NVIDIA}},
	howpublished = {\url{https://developer.nvidia.com/cusparse}},
	year={2014}
}

@misc{cuBlas,
	author = {\relax{NVIDIA cuBLAS library}},
	title = {{NVIDIA cuBLAS library}},
	howpublished = {\url{https://developer.nvidia.com/cublas}},
	note = {Accessed: 2018-04-13}
}