Christopher C. Paige

Orcid: 0000-0002-0844-0276

According to our database1, Christopher C. Paige authored at least 31 papers between 1971 and 2024.

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Bibliography

2024
Analyzing Vector Orthogonalization Algorithms.
SIAM J. Matrix Anal. Appl., 2024

2019
Accuracy of the Lanczos Process for the Eigenproblem and Solution of Equations.
SIAM J. Matrix Anal. Appl., 2019

2018
The Effects of Loss of Orthogonality on Large Scale Numerical Computations.
Proceedings of the Computational Science and Its Applications - ICCSA 2018, 2018

2016
Numerical Equivalences among Krylov Subspace Algorithms for Skew-Symmetric Matrices.
SIAM J. Matrix Anal. Appl., 2016

2014
Properties of a Unitary Matrix Obtained from a Sequence of Normalized Vectors.
SIAM J. Matrix Anal. Appl., 2014

2011
MINRES-QLP: A Krylov Subspace Method for Indefinite or Singular Symmetric Systems.
SIAM J. Sci. Comput., 2011

Hessenberg Matrix Properties and Ritz Vectors in the Finite-Precision Lanczos Tridiagonalization Process.
SIAM J. Matrix Anal. Appl., 2011

2010
An Augmented Stability Result for the Lanczos Hermitian Matrix Tridiagonalization Process.
SIAM J. Matrix Anal. Appl., 2010

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

Stopping Criteria for the Iterative Solution of Linear Least Squares Problems.
SIAM J. Matrix Anal. Appl., 2009

2008
Characterizing Matrices That Are Consistent with Given Solutions.
SIAM J. Matrix Anal. Appl., 2008

Towards A Backward Perturbation Analysis For Data Least Squares Problems.
SIAM J. Matrix Anal. Appl., 2008

Bounds on Changes in Ritz Values for a Perturbed Invariant Subspace of a Hermitian Matrix.
SIAM J. Matrix Anal. Appl., 2008

2006
Modified Gram-Schmidt (MGS), Least Squares, and Backward Stability of MGS-GMRES.
SIAM J. Matrix Anal. Appl., 2006

2005
Computation of a Test Statistic in Data Quality Control.
SIAM J. Sci. Comput., 2005

Core Problems in Linear Algebraic Systems.
SIAM J. Matrix Anal. Appl., 2005

2003
An Orthogonal Transformation Algorithm for GPS Positioning.
SIAM J. Sci. Comput., 2003

Real Floquet factors of linear time-periodic systems.
Syst. Control. Lett., 2003

2002
Residual and Backward Error Bounds in Minimum Residual Krylov Subspace Methods.
SIAM J. Sci. Comput., 2002

Scaled total least squares fundamentals.
Numerische Mathematik, 2002

Bounds for the least squares distance using scaled total least squares.
Numerische Mathematik, 2002

Numerical linear algebra in the integrity theory of the Global Positioning System.
Comput. Stat. Data Anal., 2002

2001
Componentwise perturbation analyses for the QR factorization.
Numerische Mathematik, 2001

1999
Sensitivity analysis of the Lanczos reduction.
Numer. Linear Algebra Appl., 1999

1998
Perturbation Analyses for the Cholesky Downdating Problem.
SIAM J. Matrix Anal. Appl., April, 1998

1997
Perturbation Analyses for the QR Factorization.
SIAM J. Matrix Anal. Appl., July, 1997

1993
Data Replication in Dense Matrix Factorization.
Parallel Process. Lett., 1993

1992
Loss and Recapture of Orthogonality in the Modified Gram-Schmidt Algorithm.
SIAM J. Matrix Anal. Appl., 1992

1982
Algorithm 583: LSQR: Sparse Linear Equations and Least Squares Problems.
ACM Trans. Math. Softw., 1982

LSQR: An Algorithm for Sparse Linear Equations and Sparse Least Squares.
ACM Trans. Math. Softw., 1982

1971
The computation of eigenvalues and eigenvectors of very large sparse matrices.
PhD thesis, 1971


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