Christopher C. Paige

32 papers Journal 30Unranked 1
YearRankTypeTitle / Venue / Authors
2024 J jnl
Analyzing Vector Orthogonalization Algorithms.
SIAM J. Matrix Anal. Appl.
Christopher C. Paige
2019 J jnl
Accuracy of the Lanczos Process for the Eigenproblem and Solution of Equations.
SIAM J. Matrix Anal. Appl.
Christopher C. Paige
2018 — conf
The Effects of Loss of Orthogonality on Large Scale Numerical Computations.
ICCSA (3)
Christopher C. Paige
2016 J jnl
Numerical Equivalences among Krylov Subspace Algorithms for Skew-Symmetric Matrices.
SIAM J. Matrix Anal. Appl.
Chen Greif, Christopher C. Paige, David Titley-Péloquin, James M. Varah
2014 J jnl
Properties of a Unitary Matrix Obtained from a Sequence of Normalized Vectors.
SIAM J. Matrix Anal. Appl.
Christopher C. Paige, Wolfgang Wülling
2011 J jnl
Hessenberg Matrix Properties and Ritz Vectors in the Finite-Precision Lanczos Tridiagonalization Process.
SIAM J. Matrix Anal. Appl.
Christopher C. Paige, Ivo Panayotov
2011 J jnl
MINRES-QLP: A Krylov Subspace Method for Indefinite or Singular Symmetric Systems.
SIAM J. Sci. Comput.
Sou-Cheng T. Choi, Christopher C. Paige, Michael A. Saunders
2010 J jnl
An Augmented Stability Result for the Lanczos Hermitian Matrix Tridiagonalization Process.
SIAM J. Matrix Anal. Appl.
Christopher C. Paige
2010 J jnl
MINRES-QLP: a Krylov subspace method for indefinite or singular symmetric systems
CoRR
Sou-Cheng T. Choi, Christopher C. Paige, Michael A. Saunders
2009 J jnl
A Useful Form of Unitary Matrix Obtained from Any Sequence of Unit 2-Norm n-Vectors.
SIAM J. Matrix Anal. Appl.
Christopher C. Paige
2009 J jnl
Stopping Criteria for the Iterative Solution of Linear Least Squares Problems.
SIAM J. Matrix Anal. Appl.
Xiao-Wen Chang, Christopher C. Paige, David Titley-Péloquin
2008 J jnl
Bounds on Changes in Ritz Values for a Perturbed Invariant Subspace of a Hermitian Matrix.
SIAM J. Matrix Anal. Appl.
Merico E. Argentati, Andrew V. Knyazev, Christopher C. Paige, Ivo Panayotov
2008 J jnl
Characterizing Matrices That Are Consistent with Given Solutions.
SIAM J. Matrix Anal. Appl.
Xiao-Wen Chang, Christopher C. Paige, David Titley-Péloquin
2008 J jnl
Towards A Backward Perturbation Analysis For Data Least Squares Problems.
SIAM J. Matrix Anal. Appl.
Xiao-Wen Chang, Gene H. Golub, Christopher C. Paige
2006 J jnl
Modified Gram-Schmidt (MGS), Least Squares, and Backward Stability of MGS-GMRES.
SIAM J. Matrix Anal. Appl.
Christopher C. Paige, Miroslav Rozlozník, Zdenek Strakos
2005 J jnl
Computation of a Test Statistic in Data Quality Control.
SIAM J. Sci. Comput.
Xiao-Wen Chang, Christopher C. Paige, Christian C. J. M. Tiberius
2005 J jnl
Core Problems in Linear Algebraic Systems.
SIAM J. Matrix Anal. Appl.
Christopher C. Paige, Zdenek Strakos
2003 J jnl
An Orthogonal Transformation Algorithm for GPS Positioning.
SIAM J. Sci. Comput.
Xiao-Wen Chang, Christopher C. Paige
2003 J jnl
Real Floquet factors of linear time-periodic systems.
Syst. Control. Lett.
Pierre Montagnier, Christopher C. Paige, Raymond J. Spiteri
2002 J jnl
Bounds for the least squares distance using scaled total least squares.
Numerische Mathematik
Christopher C. Paige, Zdenek Strakos
2002 J jnl
Numerical linear algebra in the integrity theory of the Global Positioning System.
Comput. Stat. Data Anal.
Xiao-Wen Chang, Christopher C. Paige
2002 J jnl
Residual and Backward Error Bounds in Minimum Residual Krylov Subspace Methods.
SIAM J. Sci. Comput.
Christopher C. Paige, Zdenek Strakos
2002 J jnl
Scaled total least squares fundamentals.
Numerische Mathematik
Christopher C. Paige, Zdenek Strakos
2001 J jnl
Componentwise perturbation analyses for the QR factorization.
Numerische Mathematik
Xiao-Wen Chang, Christopher C. Paige
1999 J jnl
Sensitivity analysis of the Lanczos reduction.
Numer. Linear Algebra Appl.
Christopher C. Paige, Paul Van Dooren
1998 J jnl
Perturbation Analyses for the Cholesky Downdating Problem.
SIAM J. Matrix Anal. Appl.
Xiao-Wen Chang, Christopher C. Paige
1997 J jnl
Perturbation Analyses for the QR Factorization.
SIAM J. Matrix Anal. Appl.
Xiao-Wen Chang, Christopher C. Paige, G. W. Stewart
1993 J jnl
Data Replication in Dense Matrix Factorization.
Parallel Process. Lett.
Joël M. Malard, Christopher C. Paige
1992 J jnl
Loss and Recapture of Orthogonality in the Modified Gram-Schmidt Algorithm.
SIAM J. Matrix Anal. Appl.
Åke Björck, Christopher C. Paige
1982 J jnl
Algorithm 583: LSQR: Sparse Linear Equations and Least Squares Problems.
ACM Trans. Math. Softw.
Christopher C. Paige, Michael A. Saunders
1982 J jnl
LSQR: An Algorithm for Sparse Linear Equations and Sparse Least Squares.
ACM Trans. Math. Softw.
Christopher C. Paige, Michael A. Saunders
1971 — —
The computation of eigenvalues and eigenvectors of very large sparse matrices.
Christopher C. Paige