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Some Recent Journal Publications
- X.-W. Chang and R.-C. Li.
Multiplicative Perturbation Analysis for QR Factorizations,
Numerical Algebra, Control and Optimization 1 (2011), pp. 301-316.
- X.-W. Chang and D. Stehle.
Rigorous Perturbation Bounds of Some Matrix Factorizations,
SIAM J. Matrix Anal. Appl. 31 (2010), pp. 2841-2859.
- X.-W. Chang and G.H. Golub.
Solving Ellipsoid-Constrained Integer Least Squares Problems,
SIAM J. Matrix Anal. Appl., 31 (2009), pp. 1071-1089.
- X.-W. Chang, C.C. Paige and D. Titley-Peloquin.
Stopping Criteria for the Iterative Solution
of Linear Least Squares Problems,
SIAM J. Matrix Anal. Appl., 31 (2009), pp. 831-852.
- X.-W. Chang and D. Titley-Peloquin.
Backward Perturbation Analysis for Scaled Total Least Squares Problems,
Numerical Linear Algebra with Applications, 16 (2009), pp. 627-648.
- X.-W. Chang, X. Yang, T. Le-Ngoc, and P. Wang.
Partial Regularization Approach for Detection Problems in
Underdetermined Linear Systems,
IET Communications, 3 (2009), pp. 17-24.
- X.-W. Chang, C.C. Paige and D. Titley-Peloquin.
Characterizing Matrices that are Consistent with Given Solutions,
SIAM J. Matrix Anal., 30 (2008), pp. 1406-1420.
- X.-W. Chang, G.H. Golub and C.C. Paige.
Towards a Backward Perturbation Analysis for Data Least Squares Problems,
SIAM J. Matrix Anal., 30 (2008), pp. 1281-1301.
- X.-W. Chang and Q. Han,
Solving Box-Constrained Integer Least Squares Problems,
IEEE Transactions on Wireless Communications, 7 (2008), pp. 277-287.
- C.C. Paige and I.~Panayotov.
Majorization bounds for ritz values of hermitian matrices.
Electronic Transactions on Numerical Analysis (ETNA), 31:1--11, 2008.
- M.E. Argentati, A.V. Knyazev, C.C. Paige, & I. Panayotov.
Bounds on changes in Ritz values for a perturbed invariant subspace
of a Hermitian matrix.
SIAM Journal on Matrix Analysis and Applications, 30(2):548--559, 2008.
Also published as a technical report
http://arxiv.org/abs/math/0610498
- C.C. Paige, G.P.H. Styan, B.-Y. Wang, & F.~Zhang.
Hua's matrix equality and Schur complements.
International Journal of Information and System Sciences, 4:124--135, 2008.
- X.-W. Chang and T. Zhou,
MILES: MATLAB package for solving Mixed Integer LEast Squares problems,
GPS Solutions, 11 (2007), pp. 289-294.
- X.-W. Chang and C.C. Paige,
Euclidean Distances and Least Squares Problems for a Given Set of Vectors,
Applied Numerical Mathematics, 57 (2007), pp. 1240-1244.
- C.C. Paige, M. Rozloznik, & Z. Strakos,
Modified Gram-Schmidt (MGS), least squares, and backward stability of MGS-GMRES
,
SIAM J. Matrix Anal. Appl. 28 (2006), pp. 264--284.
- C.C. Paige & Z. Strakos,
Core problems in linear algebraic systems
, SIAM J. Matrix Anal. Appl. 27 (2006), pp. 861--87.
- X.-W. Chang, X. Yang, and T. Zhou,
MLAMBDA: A Modified LAMBDA Method for Integer Least-squares Estimation
, Journal of Geodesy, 79 (2005), pp. 552-565.
- X.-W. Chang and Y. Guo,
Huber's M-estimation in Relative GPS Positioning: Computational Aspects
, Journal of Geodesy, 79 (2005), pp. 351-362.
- X.-W. Chang,
Computation of Huber's M-estimates for a Block-angular Regression Problem
,
Computational Statistics & Data Analysis, Special
Issue on Matrix Computations and Statistics, 50 (2005), pp. 5-20.
- X.-W. Chang, C.C. Paige, and C.C.J.M. Tiberius,
Computation of a Test Statistic in Data Quality Control
, SIAM J. Sci. Comp., 26 (2005), pp. 1916-1931.
- X.-W. Chang, M.J. Gander and S. Karaa,
Asymptotic Properties of the QR Factorization of Banded Hessenberg-Toeplitz Matrices
, Numerical Linear Algebra with Appliations, 12 (2005), pp. 659-682.
- J. Zhu, R. Santerre, and X.-W. Chang,
A Bayesian Method for Linear Inequality Constrained Adjustment and Its application
to GPS Positioning, Journal of Geodesy, 78 (2005), pp. 528-534.
- X.-W. Chang and L. Qu,
Wavelet Estimation of Partially Linear Models
, Computational Statistics & Data Analysis, 47 (2004), pp. 31-48.
- X.-W. Chang, C.C. Paige, and L. Yin,
Code and Carrier Phase Based Short Baseline GPS Positioning: Computational Aspects,
GPS Solutions, 7 (2004), pp. 230-240.
- X.-W. Chang and C.C. Paige,
An Algorithm for Combined Code and Carrier
Phase Based GPS Positioning,
BIT Numerical Mathematics, 43 (2003), pp. 915-927.
- X.-W. Chang and C.C. Paige,
An Orthogonal Transformation
Algorithm for GPS Positioning, SIAM J. Sci. Comp., 24 (2003), pp. 1710-1732.
Householder XV talk
An Efficient Algorithm
for GPS Based Positioning
- P. Montagnier, C.C. Paige and R.J. Spiteri,
Real Floquet Factors of Linear Time-Periodic Systems, Systems & Control Letters,
50 (2003), pp. 251--262.
- X.-W. Chang,
Some Features of Gaussian Elimination
with Rook Pivoting , BIT Numerical Mathematics, 42 (2002),
pp. 66--83.
- X.-W. Chang and C.C. Paige,
Numerical Linear Algebra in the Integrity Theory of
the Global Positioning System,
Computational Statistics & Data Analysis,
Special Issue on Matrix Computations and Statistics,
41 (2002), pp. 123-142.
- C.C. Paige and Z. Strakos,
Residual and Backward Error Bounds in Minimum Residual
Krylov Subspace Methods,
SIAM J. Sci. Comput. 23 (2002), pp. 1899-1924.
- C.C. Paige and Z. Strakos,
Bounds for the Least Squares Distance using Scaled Total Least Squares
Numerische Mathematik, 91 (2002), pp. 93-115.
- C.C. Paige and Z. Strakos,
Scaled Total Least Squares
Fundamentals,
Numerische Mathematik, 91 (2002), pp. 117-146.
- X.-W. Chang and C.C. Paige,
Componentwise Perturbation Analyses for the
QR Factorization, Numerische Mathematik, 88 (2001), pp.
319-345.
- C.C. Paige and P. Van Dooren,
Sensitivity Analysis of the Lanczos Reduction,
Numerical Linear Algebra with Applications, 6 (1999), pp. 29--50.
- X.-W. Chang and C.C. Paige,
Sensitivity Analyses for Factorizations of Sparse or Structured Matrices,
Linear Algebra and Appl., 284 (1998), pp. 53-71.
- X.-W. Chang,
On the Sensitivity of the SR Decomposition,
Linear Algebra and Appl., 282 (1998), pp. 297-310.
- X.-W. Chang and C.C. Paige,
On the Sensitivity of the LU
Factorization,
BIT, 38 (1998), pp. 486--501.
- X.-W. Chang and C.C. Paige,
Perturbation Analyses for the Cholesky
Downdating Problem,
SIAM J. Matrix Anal. Appl., 19 (1998) pp. 429-443.
- X.-W. Chang, C.C. Paige and G.W. Stewart,
Perturbation Analyses for the QR
Factorization, SIAM J. Matrix Anal. Appl., 18 (1997) pp. 775-791.
- H. Xu and X.-W. Chang,
Approximate Newton Methods for Nonsmooth
Equations,
J. Opt. Theory and Appl., 93 (1997), pp. 373-394.
- X.-W. Chang, C.C. Paige and G.W. Stewart,
New Perturbation Analyses for the Cholesky
Factorization, IMA J. Numer. Anal., 16 (1996), pp. 457-484.
- C.C. Paige, B.N. Parlett and H.A. van der Vorst,
Approximate Solutions and Eigenvalue Bounds from Krylov Subspaces,
Numerical Linear Algebra with Applications, 2 (1995), pp. 115--133.
- C.C. Paige and M. Wei,
History and Generality of the CS Decomposition,
Linear Algebra and Appl., 208/209 (1994), pp. 303--326.
- A. Bjorck and C.C. Paige,
Solution of Augmented Linear Systems using Orthogonal Factorizations,
BIT, 34 (1994), pp. 1--24.
- A. Bjorck and C.C. Paige,
Loss and Recapture of Orthogonality in the Modified Gram-Schmidt Algorithm,
SIAM J. Matrix Anal. Appl., 13 (1992), pp. 176--190.
- C.C. Paige,
Covariance matrix representation in linear filtering,
In "Linear Algebra and Its Role in Systems Theory", B.N. Datta Ed., AMS Publns., Providence RI, (1985), pp. 309--321.
Some Recent Conference Publications
- X.-W. Chang and X. Yang,
An Efficient Tree Search Decoder for Underdetermined MIMO Systems,
in Proceedings of the IEEE CLOBECOM 2007,
Washington, DC, Nov 26-30, 2007, pp. 4375 - 4379.
- X.-W. Chang and X. Yang,
An Efficient Regularization Approach for Underdetermined MIMO System Decoding,
in Proceedings of the 2007 International Wireless Communications and Mobile
Computing Conference, Honolulu, Hawaii, August 12-16, 2007, pp. 349-353.
X.-W. Chang and X. Yang,
A New Fast Generalized Sphere Decoding Algorithm for Under-determined MIMO Systems,
in Proceedings of 23rd Biennial Symposium on Communications, Kingston, Ontario,
Canada, May 30 - June 1, 2006, pp. 18-21.
- X.-W. Chang and M. Huang,
Kinematic Relative GPS Positioning Using State-Space Models: Computational Aspects,
Proceedings of ION 61st Annual Meeting, Cambridge, Massachusetts, June 27-29, 2005,
12 pages.
- M.J.D. Hayes, T. Luu, X.-W. Chang,
Kinematic Mapping Application to Approximate Type and Dimension Synthesis of Planar Mechanisms
, in Advances in Robotic Kinematics, June 28 - July 1, 2004, Sestri Levante, Italy,
eds. J. Lenarcic and C. Galletti, Kluwer Academic Publishers, Dordrecht, pp. 41-48.
- X.-W. Chang and Y. Guo,
Huber's M-estimation in GPS Positioning: Computational Aspect,
, Proceedings of ION 2004 National Technical Meeting,
January 26-28, 2004, San Diego, California, pp. 829-839.
- C.C. Paige and Z. Strakos,
Unifying least squares, total least squares and data least squares
, In S. van Huffel & P. Lemmerling, editors,
``Total Least Squares and Errors-in-Variables Modeling'', pages 25--34.
Kluwer Academic Publishers, Dordrecht, 2002.
- C.C. Paige & Z. Strakos,
Bounds for the least squares residual using scaled Total Least Squares
, In S. van Huffel & P. Lemmerling, editors,
``Total Least Squares and Errors-in-Variables Modeling'', pages 35--44.
Kluwer Academic Publishers, Dordrecht, 2002.
- X.-W. Chang, C.C. Paige and L. Qiu,
A Recursive Least Squares Approach for Carrier Phase
Based Positioning,
Proceedings of ION GPS-2001, Salt Lake City, Utah, 11-14 September 2001,
pp. 1039-1047.
- X.-W. Chang, C.C. Paige and V. Pereptchai,
Integrity Methods Using Carrier
Phase, Proceedings of International Symposium
on Kinematic Systems in Geodesy, Geomatics and Navigation (KIS 2001),
Banff, Alberta, Canada June 5-8, 2001, pp. 235-245.
- X.-W. Chang, C.C. Paige, J. Studenny,
Two Carrier Phase Based Approaches
for Autonomous Fault Detection and Exclusion ,
Proceedings of ION GPS-2000, Salt Lake City, Utah, 19-22 September 2000,
pp. 1895-1905.
- X.-W. Chang,
Perturbation Analyses for the Cholesky
Factorization with Backward Rounding Errors,
Scientific Computing: Proceedings of the Workshop, 10-12 March 1997,
Hong Kong, ed. G. Golub, F. Luc and R. Plemmons, Springer, Singapore, pp. 180-187,
1997.
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