Christopher C. Paige

SIAM J. Matrix Anal. Appl., 2024

2019

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

[BibT_eX]

[DOI]

SIAM J. Matrix Anal. Appl., 2019

2018

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

[BibT_eX]

[DOI]

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

2016

Numerical Equivalences among Krylov Subspace Algorithms for Skew-Symmetric Matrices.

[BibT_eX]

[DOI]

Chen Greif

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.

[BibT_eX]

[DOI]

Wolfgang Wülling

SIAM J. Matrix Anal. Appl., 2014

2011

MINRES-QLP: A Krylov Subspace Method for Indefinite or Singular Symmetric Systems.

[BibT_eX]

[DOI]

Sou-Cheng T. Choi

Michael A. Saunders

SIAM J. Sci. Comput., 2011

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

[BibT_eX]

[DOI]

Ivo Panayotov

SIAM J. Matrix Anal. Appl., 2011

2010

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

[BibT_eX]

[DOI]

SIAM J. Matrix Anal. Appl., 2010

2009

A Useful Form of Unitary Matrix Obtained from Any Sequence of Unit 2-Norm n-Vectors.

[BibT_eX]

[DOI]

SIAM J. Matrix Anal. Appl., 2009

Stopping Criteria for the Iterative Solution of Linear Least Squares Problems.

[BibT_eX]

[DOI]

David Titley-Péloquin

SIAM J. Matrix Anal. Appl., 2009

2008

Characterizing Matrices That Are Consistent with Given Solutions.

[BibT_eX]

[DOI]

David Titley-Péloquin

SIAM J. Matrix Anal. Appl., 2008

Towards A Backward Perturbation Analysis For Data Least Squares Problems.

[BibT_eX]

[DOI]

Gene H. Golub

SIAM J. Matrix Anal. Appl., 2008

Bounds on Changes in Ritz Values for a Perturbed Invariant Subspace of a Hermitian Matrix.

[BibT_eX]

[DOI]

SIAM J. Matrix Anal. Appl., 2008

2006

Modified Gram-Schmidt (MGS), Least Squares, and Backward Stability of MGS-GMRES.

[BibT_eX]

[DOI]

Miroslav Rozlozník

SIAM J. Matrix Anal. Appl., 2006

2005

Computation of a Test Statistic in Data Quality Control.

[BibT_eX]

[DOI]

Christian C. J. M. Tiberius

SIAM J. Sci. Comput., 2005

Core Problems in Linear Algebraic Systems.

[BibT_eX]

[DOI]

SIAM J. Matrix Anal. Appl., 2005

2003

An Orthogonal Transformation Algorithm for GPS Positioning.

[BibT_eX]

[DOI]

SIAM J. Sci. Comput., 2003

Real Floquet factors of linear time-periodic systems.

[BibT_eX]

[DOI]

Pierre Montagnier

Raymond J. Spiteri

Syst. Control. Lett., 2003

2002

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

[BibT_eX]

[DOI]

SIAM J. Sci. Comput., 2002

Scaled total least squares fundamentals.

[BibT_eX]

[DOI]

Numerische Mathematik, 2002

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

[BibT_eX]

[DOI]

Numerische Mathematik, 2002

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

[BibT_eX]

[DOI]

Comput. Stat. Data Anal., 2002

2001

Componentwise perturbation analyses for the QR factorization.

[BibT_eX]

[DOI]

Numerische Mathematik, 2001

1999

Sensitivity analysis of the Lanczos reduction.

[BibT_eX]

[DOI]

Paul Van Dooren

Numer. Linear Algebra Appl., 1999

1998

Perturbation Analyses for the Cholesky Downdating Problem.

[BibT_eX]

[DOI]

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

1997

Perturbation Analyses for the QR Factorization.

[BibT_eX]

[DOI]

G. W. Stewart

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

1993

Data Replication in Dense Matrix Factorization.

[BibT_eX]

[DOI]

Joël M. Malard

Parallel Process. Lett., 1993

1992

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

[BibT_eX]

[DOI]

Åke Björck

SIAM J. Matrix Anal. Appl., 1992

1982

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

[BibT_eX]

[DOI]

Michael A. Saunders

ACM Trans. Math. Softw., 1982

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

[BibT_eX]

[DOI]

Michael A. Saunders

ACM Trans. Math. Softw., 1982

1971

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

[BibT_eX]

[DOI]