C. Paige

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Solution of Sparse Indefinite Systems of Linear Equations

M. Saunders, C. Paige, 1975 .

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

Michael A. Saunders, Christopher C. Paige, M. Saunders, 1982, TOMS.

Bidiagonalization of Matrices and Solution of Linear Equations

C. Paige, 1974 .

Error Analysis of the Lanczos Algorithm for Tridiagonalizing a Symmetric Matrix

C. Paige, 1976 .

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

M. Saunders, C. Paige, 1978 .

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

Michael A. Saunders, Christopher C. Paige, M. Saunders, 1982, TOMS.

Computational variants of the Lanczos method for the eigenproblem

C. Paige, 1972 .

Computation of the stationary distribution of a markov chain

C. Paige, G. Styan, Peter G. Wachter, 1975 .

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

Michael A. Saunders, Christopher C. Paige, Sou-Cheng T. Choi, 2010, SIAM J. Sci. Comput..

Approximate solutions and eigenvalue bounds from Krylov subspaces

Henk A. van der Vorst, Beresford N. Parlett, Chris C. Paige, 1995, Numer. Linear Algebra Appl..

Towards a Generalized Singular Value Decomposition

M. Saunders, C. Paige, 1981 .

LEAST SQUARES ESTIMATION OF DISCRETE LINEAR DYNAMIC SYSTEMS USING ORTHOGONAL TRANSFORMATIONS

M. Saunders, C. Paige, 1977 .

An error analysis of a method for solving matrix equations

C. Paige, 1973 .

Computation of system balancing transformations

A. Laub, C. Paige, R. Ward, 1986, 1986 25th IEEE Conference on Decision and Control.

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

A. Laub, C. Paige, M. Heath, 1987 .

History and generality of the CS decomposition

C. Paige, M. Wei, 1994 .

Fast Numerically Stable Computations for Generalized Linear Least Squares Problems

C. Paige, 1979 .

Stopping Criteria for the Iterative Solution of Linear Least Squares Problems

Xiao-Wen Chang, David Titley-Péloquin, Christopher C. Paige, 2009, SIAM J. Matrix Anal. Appl..

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

Christopher C. Paige, Åke Björck, Å. Björck, 1992, SIAM J. Matrix Anal. Appl..

Accuracy and effectiveness of the Lanczos algorithm for the symmetric eigenproblem

C. Paige, 1980 .

Perturbation Analyses for the QR Factorization

G. Stewart, C. Paige, X. Chang, 1997, SIAM J. Matrix Anal. Appl..

New perturbation analyses for the Cholesky factorization

G. Stewart, C. Paige, X. Chang, 1996 .

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

Christopher C. Paige, Ivo Panayotov, C. Paige, 2011, SIAM J. Matrix Anal. Appl..

Computation of a Test Statistic in Data Quality Control

Xiao-Wen Chang, Christopher C. Paige, Christian C. J. M. Tiberius, 2005, SIAM J. Sci. Comput..

A Constrained Least Squares Approach to the General Gauss-Markov Linear Model

C. Paige, S. Kourouklis, 1981 .

Computer solution and perturbation analysis of generalized linear least squares problems

C. Paige, 1979 .

Scaled total least squares fundamentals

Christopher C. Paige, Zdeněk Strakoš, C. Paige, 2002, Numerische Mathematik.

Some numerical problems arising from linear systems

Christopher C. Paige, C. Paige, 1982 .

An algorithm for pole assignment of time invariant linear systems

C. Paige, G. Miminis, 1982 .

Properties of numerical algorithms related to computing controllability

C. Paige, 1981 .

Solution of augmented linear systems using orthogonal factorizations

Å. Björck, C. Paige, 1994 .

HUA'S MATRIX EQUALITY AND SCHUR COMPLEMENTS

Christopher C. Paige, Fuzhen Zhang, George P.H. Styan, 2008 .

Structure in loss of orthogonality

C. Paige, X. Chang, D. Titley-Péloquin, 2020 .

Computing the generalized singular value decomposition

C. Paige, 1986 .

A Schur decomposition for Hamiltonian matrices

C. Loan, C. Paige, 1981 .

Implicit shifting in the QR related algorithms

C. Paige, G. Miminis, 1991 .

Computing the singular value decompostion of a product of two matrices

A. Laub, C. Paige, M. Heath, 1986 .

Practical use of the symmetric Lanczos process with re-orthogonalization

Christopher C. Paige, C. Paige, 1970 .

On the quadratic convergence of Kogbetliantz's algorithm for computing the singular value decomposition

Paul Van Dooren, Christopher C. Paige, C. Paige, 1986 .

Code and carrier phase based short baseline GPS positioning: computational aspects

Xiao-Wen Chang, Christopher C. Paige, C. Paige, 2005 .

MAJORIZATION BOUNDS FOR RITZ VALUES OF HERMITIAN MATRICES

C. Paige, Ivo Panayotov, 2008 .

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

C. Paige, A. Knyazev, M. Argentati, 2006, SIAM J. Matrix Anal. Appl..

Eigenvalues of perturbed Hermitian matrices

Christopher C. Paige, C. Paige, 1974 .

A Recursive Least Squares Approach For Carrier Phase Based Positioning

Xiao-Wen Chang, Christopher C. Paige, Liang Qiu, 2001 .

Analysis of the generalized total least squares problemAX≈B when some columns ofA are free of error

Musheng Wei, Christopher C. Paige, C. Paige, 1993 .

Bibliography of the Book Matrix Computations

Gene H. Golub, Nelson H. F. Beebe, Charles F. Van Loan, 1999 .

Sensitivity analysis of the Lanczos reduction

Paul Van Dooren, Christopher C. Paige, C. Paige, 1999, Numer. Linear Algebra Appl..

Real Floquet factors of linear time-periodic systems

Raymond J. Spiteri, Christopher C. Paige, Pierre Montagnier, 2003, Syst. Control. Lett..

The computation of eigenvalues and eigenvectors of very large sparse matrices

Christopher C. Paige, C. Paige, 1971 .

A Note on a Result of Sun Ji-Guang: Sensitivity of the CS and GSV Decompositions

C. Paige, C. C. Paige, 1984 .

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

CHRISTOPHER C. PAIGE, C. Paige, 2019, SIAM J. Matrix Anal. Appl..

The Effects of Loss of Orthogonality on Large Scale Numerical Computations

Christopher C. Paige, C. Paige, 2018, ICCSA.

An augmented analysis of the perturbed two-sided Lanczos tridiagonalization process

Christopher C. Paige, Ivo Panayotov, Jens-Peter M. Zemke, 2014 .

An Augmented Stability Result for the Lanczos Hermitian Matrix Tridiagonalization Process

Christopher C. Paige, C. Paige, 2010, SIAM J. Matrix Anal. Appl..

Residual and Backward Error Bounds in Minimum Residual Krylov Subspace Methods

Zdenek Strakos, Christopher C. Paige, C. Paige, 2001, SIAM J. Sci. Comput..

Bounds for the least squares distance using scaled total least squares

Zdenek Strakos, Christopher C. Paige, C. Paige, 2002, Numerische Mathematik.

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

Miroslav Rozlozník, Zdenek Strakos, Christopher C. Paige, 2006, SIAM J. Matrix Anal. Appl..

A direct algorithm for pole assignment of time-invariant multi-input linear systems using state feedback

George Miminis, Chris C. Paige, C. Paige, 1988, Autom..

An algorithm for pole assignment of time invariant multi-input linear systems

C. Paige, G. Miminis, G. Miminis, 1982, 1982 21st IEEE Conference on Decision and Control.

Bidiagonalization as a fundamental decomposition of data in linear approximation problems

C. Paige, Z. Strakoš, 2006 .

Core Problems in Linear Algebraic Systems

Zdenek Strakos, Christopher C. Paige, C. Paige, 2005, SIAM J. Matrix Anal. Appl..

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

Christopher C. Paige, Wolfgang Wülling, C. Paige, 2014, SIAM J. Matrix Anal. Appl..

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

Christopher C. Paige, C. Paige, 2009, SIAM J. Matrix Anal. Appl..

Efficiency and scalability of two parallel QR factorization algorithms

J. Malard, C. C. Paige, C. Paige, 1994, Proceedings of IEEE Scalable High Performance Computing Conference.

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

M. Saunders, C. Paige, 1982, ACM Trans. Math. Softw..

Numerical Equivalences among Krylov Subspace Algorithms for Skew-Symmetric Matrices

C. GREIF, C. C. PAIGE, D. TITLEY-PELOQUIN, 2016, SIAM J. Matrix Anal. Appl..

The general linear model and the generalized singular value decomposition

Christopher C. Paige, C. Paige, 1985 .

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

Xiao-Wen Chang, Christopher C. Paige, C. Paige, 2002, Comput. Stat. Data Anal..