bio_backup.bib

@incollection{mobley_radiative_2001,
	title = {Radiative {Transfer} in the {Ocean}},
	isbn = {978-0-12-227430-5},
	url = {http://linkinghub.elsevier.com/retrieve/pii/B012227430X004694},
	language = {en},
	urldate = {2017-05-11},
	booktitle = {Encyclopedia of {Ocean} {Sciences}},
	publisher = {Elsevier},
	author = {Mobley, C.D.},
	year = {2001},
	pages = {2321--2330},
	annote = {DOI: 10.1006/rwos.2001.0469}
}

@article{baker_technique_2005,
	title = {A {Technique} for {Accelerating} the {Convergence} of {Restarted} {GMRES}},
	volume = {26},
	issn = {0895-4798, 1095-7162},
	url = {http://epubs.siam.org/doi/10.1137/S0895479803422014},
	doi = {10.1137/S0895479803422014},
	language = {en},
	number = {4},
	urldate = {2017-05-11},
	journal = {SIAM Journal on Matrix Analysis and Applications},
	author = {Baker, A. H. and Jessup, E. R. and Manteuffel, T.},
	month = jan,
	year = {2005},
	pages = {962--984}
}

@book{jones_scipy:_2001,
	title = {{SciPy}: {Open} source scientific tools for {Python}},
	url = {http://www.scipy.org},
	author = {Jones, Eric and Oliphant, Travis and Peterson, Pearu and {others}},
	year = {2001}
}

@article{perez_ipython:_2007,
	title = {{IPython}: a system for interactive scientific computing},
	volume = {9},
	issn = {1521-9615},
	shorttitle = {{IPython}},
	url = {http://ipython.org},
	doi = {10.1109/MCSE.2007.53},
	number = {3},
	urldate = {2017-05-11},
	journal = {Computing in Science \& Engineering},
	author = {P\'erez, Fernando and Granger, Brian E.},
	month = may,
	year = {2007},
	pages = {21--29}
}

@book{chandrasekhar_radiative_1960,
	title = {Radiative {Transfer}},
	url = {https://archive.org/details/RadiativeTransfer},
	urldate = {2017-05-11},
	publisher = {Dover},
	author = {Chandrasekhar, Subrahmanyan},
	year = {1960}
}

@article{jacobs_pathologies_2009,
	title = {The pathologies of big data},
	volume = {52},
	url = {http://dl.acm.org/citation.cfm?id=1536632},
	number = {8},
	urldate = {2017-05-12},
	journal = {Communications of the ACM},
	author = {Jacobs, Adam},
	year = {2009},
	pages = {36--44}
}

@phdthesis{anderson_analysis_2012,
	title = {Analysis of {Controlled} {Over}-{Relaxation}},
	url = {http://rave.ohiolink.edu/etdc/view?acc_num=akron1342456200},
	urldate = {2017-05-12},
	school = {University of Akron},
	author = {Anderson, Curtis James},
	year = {2012}
}

@book{anderson_lapack_1999,
	address = {Philadelphia, PA},
	edition = {Third},
	title = {{LAPACK} {Users}' {Guide}},
	isbn = {0-89871-447-8 (paperback)},
	publisher = {Society for Industrial and Applied Mathematics},
	author = {Anderson, E. and Bai, Z. and Bischof, C. and Blackford, S. and Demmel, J. and Dongarra, J. and Du Croz, J. and Greenbaum, A. and Hammarling, S. and McKenney, A. and Sorensen, D.},
	year = {1999}
}

@article{davis_algorithm_2004,
	title = {Algorithm 832: {UMFPACK} {V}4. 3—an unsymmetric-pattern multifrontal method},
	volume = {30},
	shorttitle = {Algorithm 832},
	url = {http://dl.acm.org/citation.cfm?id=992206},
	number = {2},
	urldate = {2017-05-12},
	journal = {ACM Transactions on Mathematical Software (TOMS)},
	author = {Davis, Timothy A.},
	year = {2004},
	pages = {196--199}
}

@inproceedings{amestoy_mumps:_2001,
	address = {London, UK, UK},
	series = {{PARA} '00},
	title = {{MUMPS}: {A} {General} {Purpose} {Distributed} {Memory} {Sparse} {Solver}},
	isbn = {3-540-41729-X},
	url = {http://dl.acm.org/citation.cfm?id=645782.666826},
	booktitle = {Proceedings of the 5th {International} {Workshop} on {Applied} {Parallel} {Computing}, {New} {Paradigms} for {HPC} in {Industry} and {Academia}},
	publisher = {Springer-Verlag},
	author = {Amestoy, Patrick and Duff, Iain S. and L'Excellent, Jean-Yves and Koster, Jacko},
	year = {2001},
	pages = {121--130}
}

@book{young_iterative_1971,
	series = {Computer science and applied mathematics},
	title = {Iterative solution of large linear systems},
	url = {https://books.google.com/books?id=oALvAAAAMAAJ},
	publisher = {Academic Press},
	author = {Young, D.M.},
	year = {1971},
	lccn = {73170124}
}

@book{nocedal_numerical_1999,
	address = {New York},
	series = {Springer series in operations research},
	title = {Numerical optimization},
	isbn = {978-0-387-98793-4},
	publisher = {Springer},
	author = {Nocedal, Jorge and Wright, Stephen J.},
	year = {1999},
	keywords = {Mathematical optimization},
	file = {Numerical Optimization - Numerical_Optimization.pdf:/home/oliver/.zotero/zotero/6ijnytrk.default/zotero/storage/ETD58Z4J/Numerical_Optimization.pdf:application/pdf}
}

@article{yuan_method_2006,
	title = {A method for constructing diagonally dominant preconditioners based on {Jacobi} rotations},
	volume = {174},
	issn = {00963003},
	url = {http://linkinghub.elsevier.com/retrieve/pii/S009630030500442X},
	doi = {10.1016/j.amc.2003.10.070},
	language = {en},
	number = {1},
	urldate = {2017-05-12},
	journal = {Applied Mathematics and Computation},
	author = {Yuan, Jin Yun and Yalamov, Plamen Y.},
	month = mar,
	year = {2006},
	pages = {74--80},
	file = {plamen.dvi - 00b4952ce8273d62fb000000.pdf:/home/oliver/.zotero/zotero/6ijnytrk.default/zotero/storage/BGC8GZ6E/00b4952ce8273d62fb000000.pdf:application/pdf}
}

@article{ghai_comparison_2016,
	title = {A {Comparison} of {Preconditioned} {Krylov} {Subspace} {Methods} for {Nonsymmetric} {Linear} {Systems}},
	url = {http://arxiv.org/abs/1607.00351},
	abstract = {Preconditioned Krylov subspace (KSP) methods are widely used for solving very large and sparse linear systems arising from PDE discretizations. For modern applications, these linear systems are often nonsymmetric due to the nature of the PDEs, the boundary or jump conditions, or the discretization methods. While a number of preconditioned KSP methods and their implementations are readily available, it is often unclear to users which ones are the best choices for different classes of problems. In this work, we present a systematic comparison of some representative KSP methods and preconditioners. We consider four KSP methods, namely restarted GMRES, TFQMR, BiCGSTAB, and QMRCGSTAB, coupled with three preconditioners, namely Gauss-Seidel, incomplete LU factorization (ILU), and algebraic multigrid (AMG). We assess these preconditioned KSP methods using large, sparse, nonsymmetric linear systems arising from PDE discretizations in 2D and 3D. We compare the convergence and timing results of these different combinations, and assess the scalability of these methods with respect to the number of unknowns. Our results show that GMRES tends to deliver the best performance when coupled with AMG preconditioners, but it is far less competitive than the other three methods due to restarts when using Gauss-Seidel or ILU preconditioners. Our results also show that the smoothed-aggregation AMG delivers better performance and exhibits better scalability than classical AMG, but it is less robust, especially for ill-conditioned systems. The study helps establish some practical guidelines for choosing preconditioned KSP methods. It also motivates the further development of more effective and robust multigrid preconditioners for large, sparse, nonsymmetric, and potentially ill-conditioned linear systems.},
	urldate = {2017-05-10},
	journal = {arXiv:1607.00351 [math]},
	author = {Ghai, Aditi and Lu, Cao and Jiao, Xiangmin},
	month = jul,
	year = {2016},
	keywords = {Mathematics - Numerical Analysis},
	annote = {arXiv: 1607.00351},
	annote = {Comment: Copper Mountain 2016, Special Issue}
}

@incollection{gutknecht_brief_2007,
	title = {A brief introduction to {Krylov} space methods for solving linear systems},
	url = {http://link.springer.com/content/pdf/10.1007/978-3-540-46375-7_5.pdf},
	urldate = {2017-05-12},
	booktitle = {Frontiers of {Computational} {Science}},
	publisher = {Springer},
	author = {Gutknecht, Martin H.},
	year = {2007},
	pages = {53--62},
	file = {biksm.pdf:/home/oliver/.zotero/zotero/6ijnytrk.default/zotero/storage/FQU36ACT/biksm.pdf:application/pdf}
}

@misc{mobley_volume_2013,
	address = {University of Maine},
	type = {Summer {Course}},
	title = {The {Volume} {Scattering} {Function} and {Models} for {Scattering}},
	url = {ftp://misclab.umeoce.maine.edu/users/optics/classFTP2013/Lectures/Lec6_VSF_ScatModels.pdf},
	urldate = {2017-05-13},
	author = {Curtis Mobley},
	month = jul,
	year = {2013}
}

@techreport{petzold_volume_1972,
	title = {Volume {Scattering} {Function} for {Selected} {Ocean} {Waters}},
	url = {http://oai.dtic.mil/oai/oai?verb=getRecord&metadataPrefix=html&identifier=AD0753474},
	urldate = {2017-05-13},
	institution = {DTIC Document},
	author = {Petzold, Theodore J.},
	year = {1972},
	file = {1972\: Volume scattering functions for selected ocean waters - SIO_72-78.pdf:/home/oliver/.zotero/zotero/cywzn0ul.default/zotero/storage/BQ2ZK7AG/SIO_72-78.pdf:application/pdf}
}

@article{gershgorin_uber_1931,
	title = {Uber die abgrenzung der eigenwerte einer matrix},
	url = {http://www.mathnet.ru/rus/im5235},
	number = {6},
	urldate = {2017-05-13},
	author = {Gershgorin, Semyon Aranovich},
	year = {1931},
	pages = {749--754},
	file = {"Uber die Abgrenzung der Eigenwerte einer Matrix - im5235.pdf:/home/oliver/.zotero/zotero/cywzn0ul.default/zotero/storage/5PA9W27N/im5235.pdf:application/pdf}
}