The computation of eigenvalues and eigenvectors of very large sparse matrices. - Christopher C. Paige (1971)

LSQR: An Algorithm for Sparse Linear Equations and Sparse Least Squares. - Christopher C. Paige; Michael A. Saunders (ACM Trans. Math. Softw., 1982)

Algorithm 583: LSQR: Sparse Linear Equations and Least Squares Problems. - Christopher C. Paige; Michael A. Saunders (ACM Trans. Math. Softw., 1982)

Loss and Recapture of Orthogonality in the Modified Gram-Schmidt Algorithm. - Åke Björck; Christopher C. Paige (SIAM J. Matrix Anal. Appl., 1992)

Data Replication in Dense Matrix Factorization. - Joël M. Malard; Christopher C. Paige (Parallel Process. Lett., 1993)

Perturbation Analyses for the QR Factorization. - Xiao-Wen Chang; Christopher C. Paige; G. W. Stewart (SIAM J. Matrix Anal. Appl., 1997)

Perturbation Analyses for the Cholesky Downdating Problem. - Xiao-Wen Chang; Christopher C. Paige (SIAM J. Matrix Anal. Appl., 1998)

Sensitivity analysis of the Lanczos reduction. - Christopher C. Paige; Paul Van Dooren (Numer. Linear Algebra Appl., 1999)

Componentwise perturbation analyses for the QR factorization. - Xiao-Wen Chang; Christopher C. Paige (Numerische Mathematik, 2001)

Numerical linear algebra in the integrity theory of the Global Positioning System. - Xiao-Wen Chang; Christopher C. Paige (Comput. Stat. Data Anal., 2002)

Bounds for the least squares distance using scaled total least squares. - Christopher C. Paige; Zdenek Strakos (Numerische Mathematik, 2002)

Scaled total least squares fundamentals. - Christopher C. Paige; Zdenek Strakos (Numerische Mathematik, 2002)

Residual and Backward Error Bounds in Minimum Residual Krylov Subspace Methods. - Christopher C. Paige; Zdenek Strakos (SIAM J. Sci. Comput., 2002)

Real Floquet factors of linear time-periodic systems. - Pierre Montagnier; Christopher C. Paige; Raymond J. Spiteri (Syst. Control. Lett., 2003)

An Orthogonal Transformation Algorithm for GPS Positioning. - Xiao-Wen Chang; Christopher C. Paige (SIAM J. Sci. Comput., 2003)

Core Problems in Linear Algebraic Systems. - Christopher C. Paige; Zdenek Strakos (SIAM J. Matrix Anal. Appl., 2005)

Computation of a Test Statistic in Data Quality Control. - Xiao-Wen Chang; Christopher C. Paige; Christian C. J. M. Tiberius (SIAM J. Sci. Comput., 2005)

Modified Gram-Schmidt (MGS), Least Squares, and Backward Stability of MGS-GMRES. - Christopher C. Paige; Miroslav Rozlozník; Zdenek Strakos (SIAM J. Matrix Anal. Appl., 2006)

Bounds on Changes in Ritz Values for a Perturbed Invariant Subspace of a Hermitian Matrix. - Merico E. Argentati; Andrew V. Knyazev; Christopher C. Paige; Ivo Panayotov (SIAM J. Matrix Anal. Appl., 2008)

Towards A Backward Perturbation Analysis For Data Least Squares Problems. - Xiao-Wen Chang; Gene H. Golub; Christopher C. Paige (SIAM J. Matrix Anal. Appl., 2008)

Characterizing Matrices That Are Consistent with Given Solutions. - Xiao-Wen Chang; Christopher C. Paige; David Titley-Péloquin (SIAM J. Matrix Anal. Appl., 2008)

Stopping Criteria for the Iterative Solution of Linear Least Squares Problems. - Xiao-Wen Chang; Christopher C. Paige; David Titley-Péloquin (SIAM J. Matrix Anal. Appl., 2009)

A Useful Form of Unitary Matrix Obtained from Any Sequence of Unit 2-Norm n-Vectors. - Christopher C. Paige (SIAM J. Matrix Anal. Appl., 2009)

An Augmented Stability Result for the Lanczos Hermitian Matrix Tridiagonalization Process. - Christopher C. Paige (SIAM J. Matrix Anal. Appl., 2010)

Hessenberg Matrix Properties and Ritz Vectors in the Finite-Precision Lanczos Tridiagonalization Process. - Christopher C. Paige; Ivo Panayotov (SIAM J. Matrix Anal. Appl., 2011)

MINRES-QLP: A Krylov Subspace Method for Indefinite or Singular Symmetric Systems. - Sou-Cheng T. Choi; Christopher C. Paige; Michael A. Saunders (SIAM J. Sci. Comput., 2011)

Properties of a Unitary Matrix Obtained from a Sequence of Normalized Vectors. - Christopher C. Paige; Wolfgang Wülling (SIAM J. Matrix Anal. Appl., 2014)

Numerical Equivalences among Krylov Subspace Algorithms for Skew-Symmetric Matrices. - Chen Greif; Christopher C. Paige; David Titley-Péloquin; James M. Varah (SIAM J. Matrix Anal. Appl., 2016)

The Effects of Loss of Orthogonality on Large Scale Numerical Computations. - Christopher C. Paige (ICCSA (3), 2018)

Accuracy of the Lanczos Process for the Eigenproblem and Solution of Equations. - Christopher C. Paige (SIAM J. Matrix Anal. Appl., 2019)

Analyzing Vector Orthogonalization Algorithms. - Christopher C. Paige (SIAM J. Matrix Anal. Appl., 2024)