1

BJORCK, A. Use of conjugate gradients for solving linear least squares problems. In Duff, I.S. (Ed.), Conjugate-Gradwnt Methods and Stmilar Techntques, Rep. AERE R-9636, Computer Science and Systems Division, AERE Harwell, England, 1979, 48-71.

2

BJORCK, A, AND DUFF, I.S. A direct method for the solution of sparse linear least squares problems. Linear Algebra Appl. 34 (1980), 43-67.

3

BJORCK, A, AND ELFVING, T. Accelerated projection methods for computing Pseudoinverse solutions of systems of linear equations. Res Rep. LITH-MAT-R-1978-5, Dep. Mathematics, Linkoping Univ., Linkoping, Sweden, 1978.

4

CHEW, Y.T. Iterative methods for linear least-squares problems. Res. Rep. CS-75-04, Dep. of Computer Science, Univ. Waterloo, Waterloo, Ont., Canada, 1975.

5

ELFVING, T. On the conjugate gradient method for solving linear least-squares problems. Res. Rep. L1TH-MAT-R-1978-3, Dep. Mathematics, Linkoping Univ., Link6ping, Sweden, 1978.

6

FADDEEV, D.K., AND FADDEEVA, V.N. Computational Methods of Linear Algebra, Freeman, London, 1963.

7

GEORGE, A, AND HEATH, M T. Solution of sparse linear least squares problems using Givens rotations. Linear Algebra Appl. 34 (1980), 69-83.

8

GOLUB, G.H. Numerical methods for solving linear least-squares problems. Numer. Math. 7 (1965), 206-216.

9

GOLUB, G.H., AND KAHAN, W. Calculating the singular values and pseudoinverse of a matrix. SIAM J. Numer. Anal. 2 (1965), 205-224.

10

HESTENES, M.R., AND STIEFEL, E. Methods of conjugate gradients for solving linear systems J. Res. N.B.S. 49 (1952), 409-436.

11

HOUSEHOLDER, A.S. Terminating and non-terminating iterations for solving linear systems. SIAM J. Appl. Math. 3 (1955), 67-72.

12

KENNEDY, W.J., AND GENTLE, J.E. Stat~stwal Computing. Marcel Dekker, Inc., New York and Basel, 1980.

13

LANCZOS, C. An iteration method for the solution of the eigenvalue problem of linear differential and integral operators. J Res. N.B.S. 45 (1950), 255-282.

14

LEwis, J.G. Algorithms for sparse matrix eigenvalue problems. Res. Rep. STAN-CS-77-595, Stanford Univ., Stanford, CA, 1977.

15

NASHED, M.Z. Aspects of generalized inverses in analysis and regularization. In Nashed, M.A. (Ed.), Generahzed Inverses and Applwat~ons, Academic Press, New York, 1976, 193-244.

16

NELDER, J.A. GLIMManual. Numerical Algorithms Group, 13 Banbury Road, Oxford, England, 1975

17

PAIGE, C.C. Bidiagonahzatlon of matrices and solution of linear equations. SIAM J. Numer. Anal. 11 (1974), 197-209.

18

PAIGE, C.C. Error analysis of the Lanczos algorithm for tridiagonalizing a symmetric matrix. J. Inst. Maths. Appl 18 (1976), 341-349.

19

PAIGE, C.C., AND SAUNDERS, M.A. Solution of sparse indefinite systems of equations and leastsquares problems Res. Rep. STAN-CS-73-399, Stanford Univ., Stanford, CA, 1973.

20

PAIGE, C.C., AND SAUNDERS, M.A. Solution of sparse indefinite systems of linear equations. SIAM J. Numer. Anal. 12 (1975), 617-629.

21

PAIGE, C.C., AND SAUNDERS, M.A. A bidiagonalization algorithm for sparse linear equations and least-squares problems. Rep. SOL 78-19, Dep. Operations Research, Stanford Univ., Stanford, CA, 1978.

22

Christopher C. Paige , Michael A. Saunders, Algorithm 583: LSQR: Sparse Linear Equations and Least Squares Problems, ACM Transactions on Mathematical Software (TOMS), v.8 n.2, p.195-209, June 1982  [doi>10.1145/355993.356000]

23

STEWART, G.W. Research, development and LINPACK. In Rice, J.R. (Ed.), Mathematwal Software III, Academic Press, New York, 1977, pp. 1-14.

24

VAN HEIJST, J., JACOBS, J., AND SCHERDERS, J. Kleinste-kwadraten problemen. Dep. Mathematics Rep., Eindhoven University of Technology, Eindhoven, The Netherlands, August 1976

25

J. H. Wilkinson, The algebraic eigenvalue problem, Oxford University Press, Inc., New York, NY, 1988

Michael Gleicher, Retargetting motion to new characters, Proceedings of the 25th annual conference on Computer graphics and interactive techniques, p.33-42, July 1998

Katarina Blom , Axel Ruhe, Information retrieval using very short Krylov sequences, Computational information retrieval, Society for Industrial and Applied Mathematics, Philadelphia, PA, 2001

K. P. Traar , W. Mader , O. Heinreichsberger , S. Selberherr , M. Stiftinger, High performance preconditioning on supercomputers for the 3D device simulator MINIMOS, Proceedings of the 1990 conference on Supercomputing, p.224-231, October 1990, New York, New York, United States

Jun Zhang , Tong Xiao, A multilevel block incomplete Cholesky preconditioner for solving normal equations in linear least squares problems, The Korean Journal of Computational & Applied Mathematics, v.11 n.1-2, p.59-80, January 2003

Christopher C. Paige , Michael A. Saunders, Algorithm 583: LSQR: Sparse Linear Equations and Least Squares Problems, ACM Transactions on Mathematical Software (TOMS), v.8 n.2, p.195-209, June 1982

Christopher C. Paige , Michael A. Saunders, Algorithm 583: LSQR: Sparse Linear Equations and Least Squares Problems, ACM Transactions on Mathematical Software (TOMS), v.8 n.2, p.195-209, June 1982

Kamin Whitehouse , David Culler, Macro-calibration in sensor/actuator networks, Mobile Networks and Applications, v.8 n.4, p.463-472, August 2003

Kamin Whitehouse , David Culler, Calibration as parameter estimation in sensor networks, Proceedings of the 1st ACM international workshop on Wireless sensor networks and applications, September 28-28, 2002, Atlanta, Georgia, USA

Axel Facius, Highly accurate verified error bounds for Krylov type linear system solvers, Applied Numerical Mathematics, v.45 n.1, p.41-58, April 2003

E. H. Ayachour, A fast implementation for GMRES method, Journal of Computational and Applied Mathematics, v.159 n.2, p.269-283, 15 October 2003

D. Calvetti , L. Reichel , A. Shuibi, Invertible smoothing preconditioners for linear discrete ill-posed problems, Applied Numerical Mathematics, v.54 n.2, p.135-149, July 2005

E. Kokiopoulou , C. Bekas , E. Gallopoulos, Computing smallest singular triplets with implicitly restarted Lanczos bidiagonalization, Applied Numerical Mathematics, v.49 n.1, p.39-61, April 2004

Laurence Tianruo Yang , Richard P. Brent, Parallel MCGLS and ICGLS Methods for Least Squares Problems on Distributed Memory Architectures, The Journal of Supercomputing, v.29 n.2, p.145-156, August 2004

Diego Nehab , Szymon Rusinkiewicz , James Davis , Ravi Ramamoorthi, Efficiently combining positions and normals for precise 3D geometry, ACM Transactions on Graphics (TOG), v.24 n.3, July 2005

V. Pereyra , G. Scherer, Large scale least squares scattered data fitting, Applied Numerical Mathematics, v.44 n.1-2, p.225-239, January 2003

Doron Chen , Daniel Cohen-Or , Olga Sorkine , Sivan Toledo, Algebraic analysis of high-pass quantization, ACM Transactions on Graphics (TOG), v.24 n.4, p.1259-1282, October 2005

Pontus Matstoms, Sparse Linear Least Squares Problems in Optimization, Computational Optimization and Applications, v.7 n.1, p.89-110, Jan. 1997

Lili Qiu , Yin Zhang , Feng Wang , Mi Kyung Han , Ratul Mahajan, A general model of wireless interference, Proceedings of the 13th annual ACM international conference on Mobile computing and networking, September 09-14, 2007, Montréal, Québec, Canada

R. Bramley , A. Sameh, A robust parallel solver for block tridiagonal systems, Proceedings of the 2nd international conference on Supercomputing, p.39-54, June 1988, St. Malo, France

V. Pereyra , G. Scherer, Least squares collocation solution of elliptic problems in general regions, Mathematics and Computers in Simulation, v.73 n.1, p.226-230, 6 November 2006

Bruce Merry , Patrick Marais , James Gain, Animation space: A truly linear framework for character animation, ACM Transactions on Graphics (TOG), v.25 n.4, p.1400-1423, October 2006

James Baglama , Lothar Reichel, Decomposition methods for large linear discrete ill-posed problems, Journal of Computational and Applied Mathematics, v.198 n.2, p.332-343, 15 January 2007

Bernard Giroux , Erwan Gloaguen , Michel Chouteau, bh_tomo-a Matlab borehole georadar 2D tomography package, Computers & Geosciences, v.33 n.1, p.126-137, January, 2007

Suliman Al-Homidan, Solving Hankel matrix approximation problem using semidefinite programming, Journal of Computational and Applied Mathematics, v.202 n.2, p.304-314, May, 2007

A. Bouhamidi , K. Jbilou, Sylvester Tikhonov-regularization methods in image restoration, Journal of Computational and Applied Mathematics, v.206 n.1, p.86-98, September, 2007

Felix J. Herrmann, Seismic deconvolution by atomic decomposition: A parametric approach with sparseness constraints, Integrated Computer-Aided Engineering, v.12 n.1, p.69-90, January 2005

Marc I. Gerritsma, Direct Minimization of the Discontinuous Least-Squares Spectral Element Method for Viscoelastic Fluids, Journal of Scientific Computing, v.27 n.1-3, p.245-256, June 2006

P. Fua, Fast, Accurate and Consistent Modeling of Drainage andSurrounding Terrain, International Journal of Computer Vision, v.26 n.3, p.215-234, Feb./March 1998

Peter Schröder , David Zeltzer, The virtual erector set: dynamic simulation with linear recursive constraint propagation, ACM SIGGRAPH Computer Graphics, v.24 n.2, p.23-31, Mar. 1990

Deng Cai , Xiaofei He , Jiawei Han, Spectral regression: a unified subspace learning framework for content-based image retrieval, Proceedings of the 15th international conference on Multimedia, September 25-29, 2007, Augsburg, Germany

Deng Cai , Xiaofei He , Jiawei Han, SRDA: An Efficient Algorithm for Large-Scale Discriminant Analysis, IEEE Transactions on Knowledge and Data Engineering, v.20 n.1, p.1-12, January 2008

L. Reichel , H. Sadok , A. Shyshkov, Greedy Tikhonov regularization for large linear ill-posed problems, International Journal of Computer Mathematics, v.84 n.8, p.1151-1166, August 2007

Gary W. Howell , James W. Demmel , Charles T. Fulton , Sven Hammarling , Karen Marmol, Cache efficient bidiagonalization using BLAS 2.5 operators, ACM Transactions on Mathematical Software (TOMS), v.34 n.3, p.1-33, May 2008

Dmitry Danilov , Jan R. Magnus, On the estimation of a large sparse Bayesian system: The Snaer program, Computational Statistics & Data Analysis, v.52 n.9, p.4203-4224, May, 2008

Deng Cai , Xiaofei He , Wei Vivian Zhang , Jiawei Han, Regularized locality preserving indexing via spectral regression, Proceedings of the sixteenth ACM conference on Conference on information and knowledge management, November 06-10, 2007, Lisbon, Portugal

J. P. Pontaza, A new consistent splitting scheme for incompressible Navier-Stokes flows: A least-squares spectral element implementation, Journal of Computational Physics, v.225 n.2, p.1590-1602, August, 2007

Karsten Eppler , Helmut Harbrecht , Mario S. Mommer, A new fictitious domain method in shape optimization, Computational Optimization and Applications, v.40 n.2, p.281-298, June 2008

Silvia Bonettini , Federica Tinti, A nonmonotone semismooth inexact Newton method, Optimization Methods & Software, v.22 n.4, p.637-657, August 2007

Michael P. Friedlander , Kathrin Hatz, Computing non-negative tensor factorizations, Optimization Methods & Software, v.23 n.4, p.631-647, August 2008

Rafal Zdunek , Andrzej Cichocki, Fast nonnegative matrix factorization algorithms using projected gradient approaches for large-scale problems, Computational Intelligence and Neuroscience, v.2008 n.3, p.1-13, January 2008

Liang Sun , Shuiwang Ji , Jieping Ye, Hypergraph spectral learning for multi-label classification, Proceeding of the 14th ACM SIGKDD international conference on Knowledge discovery and data mining, August 24-27, 2008, Las Vegas, Nevada, USA

T. Wu , C. Wang , H. Zhang , Y. X. Tang , L. Tian, Deformation retrieval in large areas based on multibaseline DInSAR algorithm: a case study in Cangzhou, northern China, International Journal of Remote Sensing, v.29 n.12, p.3633-3655, June 2008

Chuanqing Gu , Hongjun Qian, Skew-symmetric methods for nonsymmetric linear systems with multiple right-hand sides, Journal of Computational and Applied Mathematics, v.223 n.2, p.567-577, January, 2009

Deng Cai , Xiaofei He , Jiawei Han, Isometric projection, Proceedings of the 22nd national conference on Artificial intelligence, p.528-533, July 22-26, 2007, Vancouver, British Columbia, Canada

Oliver Baur, Tailored least-squares solvers implementation for high-performance gravity field research, Computers & Geosciences, v.35 n.3, p.548-556, March, 2009

Jun-Feng Yin , Ken Hayami, Preconditioned GMRES methods with incomplete Givens orthogonalization method for large sparse least-squares problems, Journal of Computational and Applied Mathematics, v.226 n.1, p.177-186, April, 2009

Ji-Dong Shao , Gang Rong, Nonlinear process monitoring based on maximum variance unfolding projections, Expert Systems with Applications: An International Journal, v.36 n.8, p.11332-11340, October, 2009

Deng Cai , Xuanhui Wang , Xiaofei He, Probabilistic dyadic data analysis with local and global consistency, Proceedings of the 26th Annual International Conference on Machine Learning, p.105-112, June 14-18, 2009, Montreal, Quebec, Canada

Liang Sun , Shuiwang Ji , Jieping Ye, A least squares formulation for a class of generalized eigenvalue problems in machine learning, Proceedings of the 26th Annual International Conference on Machine Learning, p.977-984, June 14-18, 2009, Montreal, Quebec, Canada

Vin de Silva , Mikael Vejdemo-Johansson, Persistent cohomology and circular coordinates, Proceedings of the 25th annual symposium on Computational geometry, June 08-10, 2009, Aarhus, Denmark

Xiaoliang Tang , Min Han, Partial Lanczos extreme learning machine for single-output regression problems, Neurocomputing, v.72 n.13-15, p.3066-3076, August, 2009

Michel Bierlaire , Frank Crittin, Solving Noisy, Large-Scale Fixed-Point Problems and Systems of Nonlinear Equations, Transportation Science, v.40 n.1, p.44-63, February 2006

Hillel Bar-Gera, Primal Method for Determining the Most Likely Route Flows in Large Road Networks, Transportation Science, v.40 n.3, p.269-286, August 2006

Christopher C. Paige: colleagues

Michael A. Saunders: colleagues