Christopher C. Paige

According to our database, Christopher C. Paige authored at least 30 papers between 1971 and 2019.

Collaborative distances:

• Dijkstra number of four.
• Erdős number of three.

2019

Accuracy of the Lanczos Process for the Eigenproblem and Solution of Equations.

Christopher C. Paige

SIAM J. Matrix Anal. Appl., 2019

2018

The Effects of Loss of Orthogonality on Large Scale Numerical Computations.

Christopher C. Paige

Proceedings of the Computational Science and Its Applications - ICCSA 2018, 2018

2016

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

2014

Properties of a Unitary Matrix Obtained from a Sequence of Normalized Vectors.

Christopher C. Paige, Wolfgang Wülling

SIAM J. Matrix Anal. Appl., 2014

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

Hessenberg Matrix Properties and Ritz Vectors in the Finite-Precision Lanczos Tridiagonalization Process.

Christopher C. Paige, Ivo Panayotov

SIAM J. Matrix Anal. Appl., 2011

2010

An Augmented Stability Result for the Lanczos Hermitian Matrix Tridiagonalization Process.

Christopher C. Paige

SIAM J. Matrix Anal. Appl., 2010

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

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

2008

Characterizing Matrices That Are Consistent with Given Solutions.

Xiao-Wen Chang, Christopher C. Paige, David Titley-Péloquin

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

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

2006

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

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

Core Problems in Linear Algebraic Systems.

Christopher C. Paige, Zdenek Strakos

SIAM J. Matrix Anal. Appl., 2005

2003

An Orthogonal Transformation Algorithm for GPS Positioning.

Xiao-Wen Chang, Christopher C. Paige

SIAM J. Sci. Comput., 2003

Real Floquet factors of linear time-periodic systems.

Pierre Montagnier, Christopher C. Paige, Raymond J. Spiteri

Syst. Control. Lett., 2003

2002

Residual and Backward Error Bounds in Minimum Residual Krylov Subspace Methods.

Christopher C. Paige, Zdenek Strakos

SIAM J. Sci. Comput., 2002

Scaled total least squares fundamentals.

Christopher C. Paige, Zdenek Strakos

Numerische Mathematik, 2002

Bounds for the least squares distance using scaled total least squares.

Christopher C. Paige, Zdenek Strakos

Numerische Mathematik, 2002

Numerical linear algebra in the integrity theory of the Global Positioning System.

Xiao-Wen Chang, Christopher C. Paige

Comput. Stat. Data Anal., 2002

2001

Componentwise perturbation analyses for the QR factorization.

Xiao-Wen Chang, Christopher C. Paige

Numerische Mathematik, 2001

1999

Sensitivity analysis of the Lanczos reduction.

Christopher C. Paige, Paul Van Dooren

Numer. Linear Algebra Appl., 1999

1998

Perturbation Analyses for the Cholesky Downdating Problem.

Xiao-Wen Chang, Christopher C. Paige

SIAM J. Matrix Anal. Appl., April, 1998

1997

Perturbation Analyses for the QR Factorization.

Xiao-Wen Chang, Christopher C. Paige, G. W. Stewart

SIAM J. Matrix Anal. Appl., July, 1997

1993

Data Replication in Dense Matrix Factorization.

Joël M. Malard, Christopher C. Paige

Parallel Process. Lett., 1993

1992

Loss and Recapture of Orthogonality in the Modified Gram-Schmidt Algorithm.

Åke Björck, Christopher C. Paige

SIAM J. Matrix Anal. Appl., 1992

1982

Algorithm 583: LSQR: Sparse Linear Equations and Least Squares Problems.

Christopher C. Paige, Michael A. Saunders

ACM Trans. Math. Softw., 1982

LSQR: An Algorithm for Sparse Linear Equations and Sparse Least Squares.

Christopher C. Paige, Michael A. Saunders

ACM Trans. Math. Softw., 1982

1971

The computation of eigenvalues and eigenvectors of very large sparse matrices.

Christopher C. Paige

PhD thesis, 1971