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Christopher C. Paige

Christopher C. Paige

D-Index & Metrics

Mathematics

D-Index
38
Citations
17038
World Ranking
2262
National Ranking
88

Research.com Recognitions

  • 2015 - SIAM Fellow For contributions to matrix computations and numerical stability analysis, including fundamental insights into the Lanczos process.

Overview

Christopher C. Paige is a researcher affiliated with McGill University in Canada. Their work spans multiple fields including Computer Science and Physics and Astronomy, with specific contributions to subfields such as Computational Theory and Mathematics, Applied Mathematics, Control and Systems Engineering, Atomic and Molecular Physics, and Optics, as well as Statistical and Nonlinear Physics.

The research topics frequently addressed by Christopher C. Paige include Matrix Theory and Algorithms, Statistical and Numerical Algorithms, Control Systems and Identification, Electromagnetic Scattering and Analysis, and Scientific Research and Discoveries.

Christopher C. Paige has authored recent papers that include:

  • Structure in loss of orthogonality, 2020, published in Linear Algebra and its Applications
  • Analyzing Vector Orthogonalization Algorithms, 2024, published in SIAM Journal on Matrix Analysis and Applications

Their work has been published in venues such as Linear Algebra and its Applications and the SIAM Journal on Matrix Analysis and Applications.

Frequent collaborators in research include Xiao-Wen Chang and David Titley-Péloquin.

Christopher C. Paige was recognized as a SIAM Fellow in 2015. The citation for this award indicates contributions to matrix computations and numerical stability analysis, including insights into the Lanczos process.

Best Publications

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

    Christopher C. Paige;Michael A. Saunders

  • Solution of Sparse Indefinite Systems of Linear Equations

    C. C. Paige;M. A. Saunders

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

    Christopher C. Paige;Michael A. Saunders

  • Computation of system balancing transformations and other applications of simultaneous diagonalization algorithms

    A. Laub;M. Heath;C. Paige;R. Ward

  • Towards a Generalized Singular Value Decomposition

    C. C. Paige;M. A. Saunders

  • Computational Variants of the Lanczos Method for the Eigenproblem

    C. C. Paige

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

    Christopher Conway Paige

  • Properties of numerical algorithms related to computing controllability

    C. Paige

  • Approximate solutions and eigenvalue bounds from Krylov subspaces

    Chris C. Paige;Beresford N. Parlett;Henk A. van der Vorst

  • Error Analysis of the Lanczos Algorithm for Tridiagonalizing a Symmetric Matrix

    C. C. Paige

  • A Schur decomposition for Hamiltonian matrices

    Chris Paige;Charles Van Loan

  • Accuracy and effectiveness of the Lanczos algorithm for the symmetric eigenproblem

    C.C. Paige

  • Loss and recapture of orthogonality in the modified Gram-Schmidt algorithm

    A. Björck;C. C. Paige

  • Computing the generalized singular value decomposition

    C C Paige

  • History and generality of the CS decomposition

    C.C. Paige;M. Wei

  • Bidiagonalization of Matrices and Solution of Linear Equations

    C. C. Paige

  • A Bidiagonalization Algorithm for Sparse Linear Equations and Least-Squares Problems.

    Christopher C Paige;Michael A Saunders

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

    Christopher C. Paige;Miroslav Rozlozník;Zdenvek Strakos

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

    Sou-Cheng T. Choi;Christopher C. Paige;Michael A. Saunders

  • Computing the singular value decompostion of a product of two matrices

    M T Heath;A J Laub;C C Paige;R C Ward

  • Scaled total least squares fundamentals

    Christopher C. Paige;Zdenek Strakoš

Frequent Co-Authors

Michael A. Saunders
Michael A. Saunders Stanford University
Michael T. Heath
Michael T. Heath University of Illinois at Urbana-Champaign
Alan J. Laub
Alan J. Laub University of California, Santa Barbara
Gene H. Golub
Gene H. Golub Stanford University
G. W. Stewart
G. W. Stewart University of Maryland, College Park
Paul Van Dooren
Paul Van Dooren Université Catholique de Louvain
Beresford N. Parlett
Beresford N. Parlett University of California, Berkeley

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