path: root/docs/ceres-solver.bib

@article{ruhe-wedin,
  title={Algorithms for separable nonlinear least squares problems},
  author={Ruhe, A. and Wedin, P.{\AA}.},
  journal={Siam Review},
  volume={22},
  number={3},
  pages={318--337},
  year={1980},
  publisher={SIAM}
}
@article{golub-pereyra-73,
  title={The differentiation of pseudo-inverses and nonlinear least squares problems whose variables separate},
  author={Golub, G.H. and Pereyra, V.},
  journal={SIAM Journal on numerical analysis},
  volume={10},
  number={2},
  pages={413--432},
  year={1973},
  publisher={SIAM}
}

@inproceedings{wiberg,
  title={Computation of principal components when data are missing},
  author={Wiberg, T.},
  booktitle={Proc. Second Symp. Computational Statistics},
  pages={229--236},
  year={1976}
}
@book{conn2000trust,
  title={Trust-region methods},
  author={Conn, A.R. and Gould, N.I.M. and Toint, P.L.},
  volume={1},
  year={2000},
  publisher={Society for Industrial Mathematics}
}
@article{byrd1988approximate,
  title={Approximate solution of the trust region problem by minimization over two-dimensional subspaces},
  author={Byrd, R.H. and Schnabel, R.B. and Shultz, G.A.},
  journal={Mathematical programming},
  volume={40},
  number={1},
  pages={247--263},
  year={1988},
  publisher={Springer}
}
@article{stigler1981gauss,
  title={Gauss and the invention of least squares},
  author={Stigler, S.M.},
  journal={The Annals of Statistics},
  volume={9},
  number={3},
  pages={465--474},
  year={1981},
  publisher={Institute of Mathematical Statistics}
}

@inproceedings{kushal2012,
  title={Visibility Based Preconditioning for Bundle Adjustment},
  author={Kushal, A. and Agarwal, S.},
  booktitle={Proceedings of the IEEE Conference on Computer Vision and Pattern Recognition},
  year={2012},
}

@article{nash1990assessing,
  title={Assessing a search direction within a truncated-Newton method},
  author={Nash, S.G. and Sofer, A.},
  journal={Operations Research Letters},
  volume={9},
  number={4},
  pages={219--221},
  year={1990}
}

@inproceedings{wu2011multicore,
  title={Multicore bundle adjustment},
  author={Wu, C. and Agarwal, S. and Curless, B. and Seitz, S.M.},
  booktitle={Proceedings of the IEEE Conference on Computer Vision and Pattern Recognition},
  pages={3057--3064},
  year={2011},
}

@inproceedings{Agarwal10bal,
 author = {Agarwal, S. and Snavely, N. and Seitz, S. M. and Szeliski, R.},
 title = {Bundle adjustment in the large},
booktitle = {Proceedings of the European Conference on Computer Vision},
 year = {2010},
 pages = {29--42},
}

@article{li2007miqr,
  title={MIQR: A multilevel incomplete QR preconditioner for large sparse least-squares problems},
  author={Li, Na and Saad, Y.},
  journal={SIAM Journal on Matrix Analysis and Applications},
  volume={28},
  number={2},
  pages={524--550},
  year={2007},
  publisher={Society for Industrial and Applied Mathematics}
}

@article{wright1985inexact,
        Author = {Wright, S. J. and Holt, J. N.},
	Journal = {Journal of the Australian Mathematical Society Series B},
	Pages = "387--403",
	Title = {{An Inexact Levenberg-Marquardt Method for Large Sparse Nonlinear Least Squares}},
	Volume = 26,
	Number = 4,
	Year = 1985
}

@article{elsner1984note,
	Author = {Elsner, L.},
	Journal = {Numer. Math.},
	Number = {1},
	Pages = {127--128},
	Publisher = {Springer},
	Title = {{A note on optimal block-scaling of matrices}},
	Volume = {44},
	Year = {1984}}

@article{hestenes1952methods,
	Author = {Hestenes, M.R. and Stiefel, E.},
	Journal = {Journal of research of the National Bureau of Standards},
	Number = {6},
	Pages = {409--436},
	Title = {{Methods of conjugate gradients for solving linear systems}},
	Volume = {49},
	Year = {1952}}

@book{mathew2008domain,
	Author = {Mathew, T.P.A.},
	Publisher = {Springer Verlag},
	Title = {{Domain decomposition methods for the numerical solution of partial differential equations}},
	Year = {2008}}

@book{smith2004domain,
	Author = {Smith, B.F. and Bjorstad, P.E. and Gropp, W.},
	Publisher = {Cambridge University Press},
	Title = {{Domain decomposition}},
	Year = {2004}}

@article{demmel1983condition,
	Author = {Demmel, J.},
	Journal = {SINUM},
	Number = {3},
	Pages = {599--610},
	Title = {{The condition number of equivalence transformations that block diagonalize matrix pencils}},
	Volume = {20},
	Year = {1983}}

@article{eisenstat1982optimal,
	Author = {Eisenstat, S.C. and Lewis, J.W. and Schultz, M.H.},
	Journal = {Linear Algebra Appl.},
	Pages = {181--186},
	Title = {{Optimal Block Diagonal Scaling of Block 2-Cyclic Matrices.}},
	Volume = {44},
	Year = {1982}}

@article{mandel1990block,
	Author = {Mandel, J.},
	Journal = {Numer. Math.},
	Number = {1},
	Pages = {79--93},
	Publisher = {Springer},
	Title = {{On block diagonal and Schur complement preconditioning}},
	Volume = {58},
	Year = {1990}}

@book{davis2006direct,
	Author = {Davis, T.A.},
	Publisher = {SIAM},
	Title = {{Direct methods for sparse linear systems}},
	Year = {2006}}

@TechReport{brown-58,
  author =       {D. C. Brown},
  title =        {A solution to the general problem of multiple station analytical stereo triangulation},
  institution =  {Patrick Airforce Base},
  year =         {1958},
  Tkey =       {AFMTC TR 58-8},
  number =    {43},
  address =   {Florida},
}

@book{hartley-zisserman-book-2004,
        Author = {Hartley, R.~I. and Zisserman, A.},
        Publisher = {Cambridge University Press},
        Title = {Multiple View Geometry in Computer Vision},
        Year = {2003}}


@book{trefethen1997numerical,
	Author = {Trefethen, L.N. and Bau, D.},
	Publisher = {SIAM},
	Title = {{Numerical Linear Algebra}},
	Year = {1997}}

@book{saad2003iterative,
	Author = {Saad, Y.},
	Publisher = {SIAM},
	Title = {{Iterative methods for sparse linear systems}},
	Year = {2003}}


@book{nocedal2000numerical,
	Author = {Nocedal, J. and Wright, S. J.},
	Publisher = {Springer},
	Title = {{Numerical Optimization}},
	Year = {2000}}

@book{bjorck1996numerical,
	Author = {Bj{\"o}rck, A.},
	Publisher = {SIAM},
	Title = {{Numerical methods for least squares problems}},
	Year = {1996}}

@book{madsen2004methods,
	Author = {Madsen, K. and Nielsen, H.B. and Tingleff, O.},
	Title = {{Methods for non-linear least squares problems}},
	Year = {2004}}


@article{marquardt1963algorithm,
	Author = {Marquardt, D.W.},
	Journal = {J. SIAM},
	Number = {2},
	Pages = {431--441},
	Publisher = {SIAM},
	Title = {{An algorithm for least-squares estimation of nonlinear parameters}},
	Volume = {11},
	Year = {1963}}

@article{levenberg1944method,
	Author = {Levenberg, K.},
	Journal = {Quart. Appl. Math},
	Number = {2},
	Pages = {164--168},
	Title = {{A method for the solution of certain nonlinear problems in least squares}},
	Volume = {2},
	Year = {1944}}

@article{chen2006acs,
	Article = {22},
	Author = {Chen, Y. and Davis, T. A. and Hager, W. W. and Rajamanickam, S.},
	Journal = {TOMS},
	Number = {3},
	Title = {{Algorithm 887: CHOLMOD, Supernodal Sparse {Cholesky} Factorization and Update/Downdate}},
	Volume = {35},
	Year = {2008}}


@inproceedings{triggs-etal-1999,
	Author = {Triggs, B. and McLauchlan, P. F. and Hartley, R. I. and Fitzgibbon, A. W.},
	Booktitle = {Vision Algorithms},
	Pages = {298-372},
	Title = {{Bundle Adjustment - A Modern Synthesis}},
	Year = {1999}}


@article{tennenbaum-director,
Author = {Tennenbaum, J. and Director, B.},
Title = {{How Gauss Determined the Orbit of Ceres}}
}