|  | .. _sec-bibliography: | 
|  |  | 
|  | ============ | 
|  | Bibliography | 
|  | ============ | 
|  |  | 
|  | .. [Agarwal] S. Agarwal, N. Snavely, S. M. Seitz and R. Szeliski, | 
|  | **Bundle Adjustment in the Large**, *Proceedings of the European | 
|  | Conference on Computer Vision*, pp. 29--42, 2010. | 
|  |  | 
|  | .. [Bjorck] A. Bjorck, **Numerical Methods for Least Squares | 
|  | Problems**, SIAM, 1996 | 
|  |  | 
|  | .. [Brown] D. C. Brown, **A solution to the general problem of | 
|  | multiple station analytical stereo triangulation**,  Technical | 
|  | Report 43, Patrick Airforce Base, Florida, 1958. | 
|  |  | 
|  | .. [ByrdNocedal] R. H. Byrd, J. Nocedal, R. B. Schanbel, | 
|  | **Representations of Quasi-Newton Matrices and their use in Limited | 
|  | Memory Methods**, *Mathematical Programming* 63(4):129-156, 1994. | 
|  |  | 
|  | .. [ByrdSchnabel] R.H. Byrd, R.B. Schnabel, and G.A. Shultz, **Approximate | 
|  | solution of the trust region problem by minimization over | 
|  | two dimensional subspaces**, *Mathematical programming*, | 
|  | 40(1):247-263, 1988. | 
|  |  | 
|  | .. [Chen] Y. Chen, T. A. Davis, W. W. Hager, and | 
|  | S. Rajamanickam, **Algorithm 887: CHOLMOD, Supernodal Sparse | 
|  | Cholesky Factorization and Update/Downdate**, *TOMS*, 35(3), 2008. | 
|  |  | 
|  | .. [Conn] A.R. Conn, N.I.M. Gould, and P.L. Toint, **Trust region | 
|  | methods**, *Society for Industrial Mathematics*, 2000. | 
|  |  | 
|  | .. [GolubPereyra] G.H. Golub and V. Pereyra, **The differentiation of | 
|  | pseudo-inverses and nonlinear least squares problems whose | 
|  | variables separate**, *SIAM Journal on numerical analysis*, | 
|  | 10(2):413-432, 1973. | 
|  |  | 
|  | .. [HartleyZisserman] R.I. Hartley & A. Zisserman, **Multiview | 
|  | Geometry in Computer Vision**, Cambridge University Press, 2004. | 
|  |  | 
|  | .. [KanataniMorris] K. Kanatani and D. D. Morris, **Gauges and gauge | 
|  | transformations for uncertainty description of geometric structure | 
|  | with indeterminacy**, *IEEE Transactions on Information Theory* | 
|  | 47(5):2017-2028, 2001. | 
|  |  | 
|  | .. [Keys] R. G. Keys, **Cubic convolution interpolation for digital | 
|  | image processing**, *IEEE Trans. on Acoustics, Speech, and Signal | 
|  | Processing*, 29(6), 1981. | 
|  |  | 
|  | .. [KushalAgarwal] A. Kushal and S. Agarwal, **Visibility based | 
|  | preconditioning for bundle adjustment**, *In Proceedings of the | 
|  | IEEE Conference on Computer Vision and Pattern Recognition*, 2012. | 
|  |  | 
|  | .. [Kanzow] C. Kanzow, N. Yamashita and M. Fukushima, | 
|  | **Levenberg-Marquardt methods with strong local convergence | 
|  | properties for solving nonlinear equations with convex | 
|  | constraints**, *Journal of Computational and Applied Mathematics*, | 
|  | 177(2):375-397, 2005. | 
|  |  | 
|  | .. [Levenberg] K. Levenberg, **A method for the solution of certain | 
|  | nonlinear problems in least squares**, *Quart. Appl.  Math*, | 
|  | 2(2):164-168, 1944. | 
|  |  | 
|  | .. [LiSaad] Na Li and Y. Saad, **MIQR: A multilevel incomplete qr | 
|  | preconditioner for large sparse least squares problems**, *SIAM | 
|  | Journal on Matrix Analysis and Applications*, 28(2):524-550, 2007. | 
|  |  | 
|  | .. [Madsen] K. Madsen, H.B. Nielsen, and O. Tingleff, **Methods for | 
|  | nonlinear least squares problems**, 2004. | 
|  |  | 
|  | .. [Mandel] J. Mandel, **On block diagonal and Schur complement | 
|  | preconditioning**, *Numer. Math.*, 58(1):79-93, 1990. | 
|  |  | 
|  | .. [Marquardt] D.W. Marquardt, **An algorithm for least squares | 
|  | estimation of nonlinear parameters**, *J. SIAM*, 11(2):431-441, | 
|  | 1963. | 
|  |  | 
|  | .. [Mathew] T.P.A. Mathew, **Domain decomposition methods for the | 
|  | numerical solution of partial differential equations**, Springer | 
|  | Verlag, 2008. | 
|  |  | 
|  | .. [NashSofer] S.G. Nash and A. Sofer, **Assessing a search direction | 
|  | within a truncated newton method**, *Operations Research Letters*, | 
|  | 9(4):219-221, 1990. | 
|  |  | 
|  | .. [Nocedal] J. Nocedal, **Updating Quasi-Newton Matrices with Limited | 
|  | Storage**, *Mathematics of Computation*, 35(151): 773--782, 1980. | 
|  |  | 
|  | .. [NocedalWright] J. Nocedal & S. Wright, **Numerical Optimization**, | 
|  | Springer, 2004. | 
|  |  | 
|  | .. [Oren] S. S. Oren, **Self-scaling Variable Metric (SSVM) Algorithms | 
|  | Part II: Implementation and Experiments**, Management Science, | 
|  | 20(5), 863-874, 1974. | 
|  |  | 
|  | .. [Press] W. H. Press, S. A. Teukolsky, W. T. Vetterling | 
|  | & B. P. Flannery, **Numerical Recipes**, Cambridge University | 
|  | Press, 2007. | 
|  |  | 
|  | .. [Ridders] C. J. F. Ridders, **Accurate computation of F'(x) and | 
|  | F'(x) F"(x)**, Advances in Engineering Software 4(2), 75-76, 1978. | 
|  |  | 
|  | .. [RuheWedin] A. Ruhe and P.Å. Wedin, **Algorithms for separable | 
|  | nonlinear least squares problems**, Siam Review, 22(3):318-337, | 
|  | 1980. | 
|  |  | 
|  | .. [Saad] Y. Saad, **Iterative methods for sparse linear | 
|  | systems**, SIAM, 2003. | 
|  |  | 
|  | .. [Stigler] S. M. Stigler, **Gauss and the invention of least | 
|  | squares**, *The Annals of Statistics*, 9(3):465-474, 1981. | 
|  |  | 
|  | .. [TenenbaumDirector] J. Tenenbaum & B. Director, **How Gauss | 
|  | Determined the Orbit of Ceres**. | 
|  |  | 
|  | .. [TrefethenBau] L.N. Trefethen and D. Bau, **Numerical Linear | 
|  | Algebra**, SIAM, 1997. | 
|  |  | 
|  | .. [Triggs] B. Triggs, P. F. Mclauchlan, R. I. Hartley & | 
|  | A. W. Fitzgibbon, **Bundle Adjustment: A Modern Synthesis**, | 
|  | Proceedings of the International Workshop on Vision Algorithms: | 
|  | Theory and Practice, pp. 298-372, 1999. | 
|  |  | 
|  | .. [Wiberg] T. Wiberg, **Computation of principal components when data | 
|  | are missing**, In Proc. *Second Symp. Computational Statistics*, | 
|  | pages 229-236, 1976. | 
|  |  | 
|  | .. [WrightHolt] S. J. Wright and J. N. Holt, **An Inexact | 
|  | Levenberg Marquardt Method for Large Sparse Nonlinear Least | 
|  | Squares**, *Journal of the Australian Mathematical Society Series | 
|  | B*, 26(4):387-403, 1985. |