iter.bib

%
% gmres
%
@book{saad-iter,
 title={Iterative methods for sparse linear systems},
 author={Saad, Y.},
 year={2003},
 publisher={SIAM}
}
@book{saad-eig,
  title={Numerical methods for large eigenvalue problems},
  author={Saad, Youcef},
  year={2011},
  publisher={SIAM},
  doi={10.1137/1.9781611970739}
}

@article{Saad_Schultz-gmres-1986,
  title={{GMRES:} {A} generalized minimal residual algorithm for solving nonsymmetric linear systems},
  author={Saad, Y. and Schultz, M.H.},
  journal={SIAM J. Sci. Stat. Comput.},
  volume={7},
  number={3},
  pages={856--869},
  year={1986}
}

@TECHREPORT{Giraud-gmres_note-2004,
    author = {L. Giraud and S. Gratton and J. Langou},
    title = {{A note on relaxed and flexible GMRES}},
    institution = {},
    year = {2004}
}
%
% multigrid
%
@ARTICLE{Cleary-Scalab-AMG-1998,
    author = {Andrew J. Cleary and Robert D. Falgout and Van Emden Henson and Jim E. Jones and Thomas A. Manteuffel and Stephen F. McCormick and Gerald N. Miranda and John W. Ruge},
    title = {{Robustness and scalability of algebraic multigrid}},
    journal = {SIAM J. SCI. COMPUT},
    year = {1998},
    volume = {21},
    pages = {1886--1908}
}

@article{Bjorn-mg_conv_osc-1997,
     title = {{Convergence of a Multigrid Method for Elliptic Equations with Highly Oscillatory Coefficients}},
     author = {Engquist, Bjorn and Luo, Erding},
     journal = {SIAM Journal on Numerical Analysis},
     volume = {34},
     number = {6},
     pages = {2254-2273},
     url = {http://www.jstor.org/stable/2951949},
     year = {1997}
}

@article {Aks_Grah-High-Contrast-Prec-2008,
   author = {Aksoylu, Burak and Graham, Ivan and Klie, Hector and Scheichl, Robert},
   title = {Towards a rigorously justified algebraic preconditioner for high-contrast diffusion problems},
   journal = {Computing and Visualization in Science},
   publisher = {Springer Berlin / Heidelberg},
   issn = {1432-9360},
   keyword = {Engineering},
   pages = {319-331},
   volume = {11},
   issue = {4},
   doi = {10.1007/s00791-008-0105-1},
   year = {2008}
}

@article{notay-agmg-2010,
title={An aggregation-based algebraic multigrid method},
author={Notay, Yvan},
journal={Electronic transactions on numerical analysis},
volume={37},
number={6},
pages={123--146},
year={2010},
url={http://homepages.ulb.ac.be/~ynotay/AGMG},
}

%
%  general
%
@article{saad-sparse-inverse-selfprec-1998,
  title={Approximate inverse preconditioners via sparse-sparse iterations},
  author={Chow, E. and Saad, Y.},
  journal={SIAM J. Sci. Comput.},
  volume={19},
  number={3},
  pages={995--1023},
  issn={1064-8275},
  year={1998},
  publisher={Citeseer}
}

@techreport{kaas-isd-1987,
title={The Convergence Rate of Inexact Preconditioned Steepest Descent Algorithm for Solving Linear Systems},
author={Munthe-Kaas, Hans},
type={Numerical Analysis Report},
number={NA-87-04},
institution={Stanford University},
year={1987},
url={http://i.stanford.edu/pub/cstr/reports/na/m/87/04/NA-M-87-04.pdf}
}


@book{Hageman-Applied-iteratives-1981,
author = {Hageman, A. L. and Young, D. M.},
title = {Applied Iterative Methods},
publisher = {Academic Press, New York},
year = {1981}
}

@article{notay-inexact-rqi-2003,
  title={Convergence analysis of inexact Rayleigh quotient iteration},
  author={Notay, Y.},
  journal={SIAM J. on Matrix An. Appl.},
  volume={24},
  number={3},
  pages={627--644},
  year={2003},
  doi={10.1137/S0895479801399596},
}

@article{Simoncini-Theory-inexact-Krylov-2003,
 author = {Simoncini, Valeria and Szyld, Daniel B.},
 title = {Theory of Inexact {Krylov} Subspace Methods and Applications to Scientific Computing},
 journal = {SIAM J. Sci. Comput.},
 volume = {25},
 issue = {2},
 year = {2003},
 pages = {454--477},
 doi = {10.1137/S1064827502406415},
}

@article{Eshof-Inexact-Krylov-Subspace-2004,
author = {van den Eshof, Jasper and Sleijpen, Gerard L. G.},
title = {Inexact {Krylov} Subspace Methods for Linear Systems},
journal = {SIAM J. Matrix Anal. Appl.},
volume = {26},
number = {1},
pages = {125-153},
year = {2004},
doi = {10.1137/S0895479802403459}
}


@article{Chan-survey-2001,
author = {Chan, R. H. and Ng, M. K. and Yip, A. M.},
title = {A Survey of Preconditioners for Ill-Conditioned {Toeplitz} Systems, Structured Matrices in Mathematics, Computer Science, and Engineering {II}},
journal = {Contemporary Mathematics},
number = {281},
year = {2001},
pages = {175--191},
editor = {Olshevsky, V.}
}

@article{NSV-2_lev_Toepl-2005,
author = {Noutsos, D. and Capizzano, S. Serra and Vassalos, P.},
title = {A preconditioning proposal for ill-conditioned {Hermitian} two-level {Toeplitz} systems},
journal = {Numer. Linear Algebra Appl.},
number = {12},
year = {2005},
pages = {231--239}
}

@article{knyazev-lobpcg-2001,
 author= {Knyazev, Andrew V.},
 title={Toward the optimal preconditioned eigensolver: Locally optimal block preconditioned conjugate gradient method},
 journal={SIAM J. Sci. Comput.},
 volume={23},
 issue={2},
 year={2001},
 pages={517--541},
 doi={10.1137/S1064827500366124}
}

@book{parlett-symeig-1980,
  title={The symmetric eigenvalue problem},
  author={Parlett, Beresford N},
  year={1980},
  publisher={SIAM},
  doi={10.1137/1.9781611971163}
}
@book{dongarra-nla-hpc-1998,
  title={Numerical linear algebra on high-performance computers},
  author={Dongarra, Jack J. and Duff, Iain S. and Sorensen, Danny C. and van der Vorst, Henk A.},
  year={1998},
  publisher={SIAM},
}

%
% CG
%
@phdthesis{Chandra-CG-1978,
 author = {Chandra, Rati},
 title = {Conjugate gradient methods for partial differential equations.},
 year = {1978},
 note = {AAI7819699},
 publisher = {Yale University},
 address = {New Haven, CT, USA},
}

@article{Sluis-CG-rate-1986,
   author = {van der Sluis, A. and van der Vorst, H. A.},
   affiliation = {Mathematical Institute University of Utrecht Budapestlaan 6 Utrecht The Netherlands},
   title = {The rate of convergence of Conjugate Gradients},
   journal = {Numerische Mathematik},
   publisher = {Springer Berlin / Heidelberg},
   issn = {0029-599X},
   keyword = {Mathematics and Statistics},
   pages = {543-560},
   volume = {48},
   issue = {5},
   url = {http://dx.doi.org/10.1007/BF01389450},
   note = {10.1007/BF01389450},
   year = {1986}
}

@article{Young-orthodir-1980,
title = {Generalized conjugate-gradient acceleration of nonsymmetrizable iterative methods},
journal = {Linear Algebra and its Applications},
volume = {34},
pages = {159 - 194},
year = {1980},
issn = {0024-3795},
doi = {DOI: 10.1016/0024-3795(80)90165-2},
url = {http://www.sciencedirect.com/science/article/B6V0R-45GWNC9-D/2/41d3e3b8957421709b61e77291828bc6},
author = {Young, David M. and Jea, Kang C.}
}

@article{Axelsson-CG-nonsymm-1980,
title = {Conjugate gradient type methods for unsymmetric and inconsistent systems of linear equations},
journal = {Linear Algebra and its Applications},
volume = {29},
pages = {1 - 16},
year = {1980},
issn = {0024-3795},
author = {Axelsson, Owe}
}

@article{Axelsson-PCG-rate-1986,
   author = {Axelsson, Owe and Lindskog, Gunhild},
   affiliation = {Department of Computer Sciences Lund University Lund Sweden},
   title = {On the rate of convergence of the preconditioned conjugate gradient method},
   journal = {Numerische Mathematik},
   publisher = {Springer Berlin / Heidelberg},
   issn = {0029-599X},
   keyword = {Mathematics and Statistics},
   pages = {499-523},
   volume = {48},
   issue = {5},
   url = {http://dx.doi.org/10.1007/BF01389448},
   note = {10.1007/BF01389448},
   year = {1986}
}
%
% newton
%
@article{schulz-newton-1933,
 author={Schulz, G.},
 title={Iterative {Berechung} der reziproken {Matrix}},
 journal={ZAMM J. Appl. Math. and Mechanics},
 volume={13},
 number={1},
 pages={57-59},
 year={1933},
 doi={10.1002/zamm.19330130111}
}

@article{benisrael-newton-1966,
 author={Ben-Israel, A. and Cohen, D.},
 title={On iterative computation of generalized inverses and associated projections},
 journal={SIAM J. Numer. Anal.},
 volume={3},
 number={3},
 pages={410-419},
 year={1966},
 doi={10.1137/0703035}
}

@article{pan-newton-1991,
 author={Pan, V. and Schreiber, R.},
 title={An improved {Newton} iteration for the generalized inverse of a matrix, with applications},
 journal={SIAM J. Sci. Stat. Comput.},
 volume={12},
 number={5},
 pages={1109-1130},
 year={1991},
 doi={10.1137/0912058}
}

@article{pan-newton-2002,
 author={Pan, Victor Y. and Rami, Youssef and Wang, Xinmao},
 title={Structured matrices and {Newton's} iteration: unified approach},
 journal={Linear Alg. Appl.},
 volume={343-344},
 year={2002},
 pages={233-265},
 doi={10.1016/S0024-3795(01)00336-6}
}


@article{trefethen-itergauss-2013,
  title={Gaussian Elimination as an Iterative Algorithm},
  author={Townsend, A. and Trefethen, L. N},
  journal={SIAM News},
  volume={46},
  number={2},
  year={2013},
  url={http://www.siam.org/pdf/news/2052.pdf},
}


@techreport{duff-ls-maxvol-2014,
  author={Arioli, M. and Duff, I. S},
  title={Preconditioning of linear least-squares problems by identifying basic variables},
  type={{CERFACS} Technical Report},
  number={TR/PA/14/46},
  year={2014},
  institution = {},
  url = {http://www.cerfacs.fr/algor/reports/2014/TR_PA_14_46.pdf},
}


@article{ipsen-inverse-1997,
  title={Computing an eigenvector with inverse iteration},
  author={Ipsen, Ilse CF},
  journal={SIAM rev.},
  volume={39},
  number={2},
  pages={254--291},
  year={1997},
  doi={10.1137/S0036144596300773}
}


@article{golub-inexact-2000,
  title={Inexact inverse iteration for generalized eigenvalue problems},
  author={Golub, Gene H and Ye, Qiang},
  journal={BIT Numer. Math.},
  volume={40},
  number={4},
  pages={671--684},
  year={2000},
  doi={10.1023/A:1022388317839}
}


@article{berns-inexact-2006,
  title={Inexact inverse iteration for symmetric matrices},
  author={Berns-M{\"u}ller, J{\"o}rg and Graham, Ivan G and Spence, Alastair},
  journal={Linear Algebra Appl.},
  volume={416},
  number={2},
  pages={389--413},
  year={2006},
  doi={10.1016/j.laa.2005.11.019}
}


@article{svh-jd-2000,
  title={A {Jacobi--Davidson} iteration method for linear eigenvalue problems},
  author={Sleijpen, Gerard L. G. and Van der Vorst, Henk A.},
  journal={SIAM Rev.},
  volume={42},
  number={2},
  pages={267--293},
  year={2000},
  doi={10.1137/S0036144599363084}
}