Christopher C. Paige

ORCID

Publication Activity (10 Years)

Years Active: 1982-2024
Publications (10 Years): 4

Top Venues

SIAM J. Matrix Anal. Appl.

ICCSA (3)

University of London, UK (PHD)

Education History

University of London, UK

PHD

Publications

Christopher C. Paige
Analyzing Vector Orthogonalization Algorithms. SIAM J. Matrix Anal. Appl. 45 (2) (2024)
Christopher C. Paige
Accuracy of the Lanczos Process for the Eigenproblem and Solution of Equations. SIAM J. Matrix Anal. Appl. 40 (4) (2019)
Christopher C. Paige
The Effects of Loss of Orthogonality on Large Scale Numerical Computations. ICCSA (3) (2018)
Chen Greif, Christopher C. Paige, David Titley-Péloquin, James M. Varah
Numerical Equivalences among Krylov Subspace Algorithms for Skew-Symmetric Matrices. SIAM J. Matrix Anal. Appl. 37 (3) (2016)
Christopher C. Paige, Wolfgang Wülling
Properties of a Unitary Matrix Obtained from a Sequence of Normalized Vectors. SIAM J. Matrix Anal. Appl. 35 (2) (2014)
Christopher C. Paige, Ivo Panayotov
Hessenberg Matrix Properties and Ritz Vectors in the Finite-Precision Lanczos Tridiagonalization Process. SIAM J. Matrix Anal. Appl. 32 (4) (2011)
Sou-Cheng T. Choi, Christopher C. Paige, Michael A. Saunders
MINRES-QLP: A Krylov Subspace Method for Indefinite or Singular Symmetric Systems. SIAM J. Sci. Comput. 33 (4) (2011)
Sou-Cheng T. Choi, Christopher C. Paige, Michael A. Saunders
MINRES-QLP: a Krylov subspace method for indefinite or singular symmetric systems CoRR (2010)
Christopher C. Paige
An Augmented Stability Result for the Lanczos Hermitian Matrix Tridiagonalization Process. SIAM J. Matrix Anal. Appl. 31 (5) (2010)
Xiao-Wen Chang, Christopher C. Paige, David Titley-Péloquin
Stopping Criteria for the Iterative Solution of Linear Least Squares Problems. SIAM J. Matrix Anal. Appl. 31 (2) (2009)
Christopher C. Paige
A Useful Form of Unitary Matrix Obtained from Any Sequence of Unit 2-Norm n-Vectors. SIAM J. Matrix Anal. Appl. 31 (2) (2009)
Xiao-Wen Chang, Gene H. Golub, Christopher C. Paige
Towards A Backward Perturbation Analysis For Data Least Squares Problems. SIAM J. Matrix Anal. Appl. 30 (4) (2008)
Xiao-Wen Chang, Christopher C. Paige, David Titley-Péloquin
Characterizing Matrices That Are Consistent with Given Solutions. SIAM J. Matrix Anal. Appl. 30 (4) (2008)
Merico E. Argentati, Andrew V. Knyazev, Christopher C. Paige, Ivo Panayotov
Bounds on Changes in Ritz Values for a Perturbed Invariant Subspace of a Hermitian Matrix. SIAM J. Matrix Anal. Appl. 30 (2) (2008)
Christopher C. Paige, Miroslav Rozlozník, Zdenek Strakos
Modified Gram-Schmidt (MGS), Least Squares, and Backward Stability of MGS-GMRES. SIAM J. Matrix Anal. Appl. 28 (1) (2006)
Xiao-Wen Chang, Christopher C. Paige, Christian C. J. M. Tiberius
Computation of a Test Statistic in Data Quality Control. SIAM J. Sci. Comput. 26 (6) (2005)
Christopher C. Paige, Zdenek Strakos
Core Problems in Linear Algebraic Systems. SIAM J. Matrix Anal. Appl. 27 (3) (2005)
Pierre Montagnier, Christopher C. Paige, Raymond J. Spiteri
Real Floquet factors of linear time-periodic systems. Syst. Control. Lett. 50 (4) (2003)
Xiao-Wen Chang, Christopher C. Paige
An Orthogonal Transformation Algorithm for GPS Positioning. SIAM J. Sci. Comput. 24 (5) (2003)
Christopher C. Paige, Zdenek Strakos
Residual and Backward Error Bounds in Minimum Residual Krylov Subspace Methods. SIAM J. Sci. Comput. 23 (6) (2002)
Xiao-Wen Chang, Christopher C. Paige
Numerical linear algebra in the integrity theory of the Global Positioning System. Comput. Stat. Data Anal. 41 (1) (2002)
Christopher C. Paige, Zdenek Strakos
Scaled total least squares fundamentals. Numerische Mathematik 91 (1) (2002)
Christopher C. Paige, Zdenek Strakos
Bounds for the least squares distance using scaled total least squares. Numerische Mathematik 91 (1) (2002)
Xiao-Wen Chang, Christopher C. Paige
Componentwise perturbation analyses for the QR factorization. Numerische Mathematik 88 (2) (2001)
Christopher C. Paige, Paul Van Dooren
Sensitivity analysis of the Lanczos reduction. Numer. Linear Algebra Appl. 6 (1) (1999)
Xiao-Wen Chang, Christopher C. Paige
Perturbation Analyses for the Cholesky Downdating Problem. SIAM J. Matrix Anal. Appl. 19 (2) (1998)
Xiao-Wen Chang, Christopher C. Paige, G. W. Stewart
Perturbation Analyses for the QR Factorization. SIAM J. Matrix Anal. Appl. 18 (3) (1997)
Joël M. Malard, Christopher C. Paige
Data Replication in Dense Matrix Factorization. Parallel Process. Lett. 3 (1993)
Åke Björck, Christopher C. Paige
Loss and Recapture of Orthogonality in the Modified Gram-Schmidt Algorithm. SIAM J. Matrix Anal. Appl. 13 (1) (1992)
Christopher C. Paige, Michael A. Saunders
Algorithm 583: LSQR: Sparse Linear Equations and Least Squares Problems. ACM Trans. Math. Softw. 8 (2) (1982)
Christopher C. Paige, Michael A. Saunders
LSQR: An Algorithm for Sparse Linear Equations and Sparse Least Squares. ACM Trans. Math. Softw. 8 (1) (1982)

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Publication Activity (10 Years)

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Christopher C. Paige