DOI10.1137/0613015zbMath0747.65026OpenAlexW2042696716MaRDI QIDQ3988983
Christopher C. Paige, Åke Björck
Publication date: 28 June 1992
Published in: SIAM Journal on Matrix Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/0613015
Unnamed Item,
Rank-\(k\) modification methods for recursive least squares problems,
Perturbation analysis of the canonical correlations of matrix pairs,
Solution of augmented linear systems using orthogonal factorizations,
Enriched spectral methods and applications to problems with weakly singular solutions,
Numerical stability of GMRES,
On the modified Gram-Schmidt algorithm for weighted and constrained linear least squares problems,
Self-scaling fast rotations for stiff and equality-constrained linear least squares problems,
Numerical behaviour of the modified Gram-Schmidt GMRES implementation,
Accurate downdating of a modified Gram-Schmidt QR decomposition,
Gram-Schmidt orthogonalization: 100 years and more,
Mixed-precision explicit stabilized Runge-Kutta methods for single- and multi-scale differential equations,
A Note on Inexact Inner Products in GMRES,
Probabilistic Rounding Error Analysis of Householder QR Factorization,
A novel parallel algorithm based on the Gram-Schmidt method for tridiagonal linear systems of equations,
Modified Gram-Schmidt-based methods for block downdating the Cholesky factorization,
On the loss of orthogonality in the second-order Arnoldi process,
Reorthogonalization for the Golub-Kahan-Lanczos bidiagonal reduction,
A parallel and streaming dynamic mode decomposition algorithm with finite precision error analysis for large data,
Equivalence between modified symplectic Gram-Schmidt and Householder SR algorithms,
An augmented analysis of the perturbed two-sided Lanczos tridiagonalization process,
On Iterative Solution of the Extended Normal Equations,
A modified Gram-Schmidt algorithm with iterative orthogonalization and column pivoting,
Stability of the MGS-like elimination method for equality constrained least squares problems,
Rounding error analysis of the classical Gram-Schmidt orthogonalization process,
A new stable bidiagonal reduction algorithm,
On direct elimination methods for solving the equality constrained least squares problem,
Stability Analysis of the Two-level Orthogonal Arnoldi Procedure,
Structure in loss of orthogonality,
Recursive interpolation algorithm: A formalism for solving systems of linear equations. I: Direct methods,
Accuracy of the Lanczos Process for the Eigenproblem and Solution of Equations,
A new projected variant of the deflated block conjugate gradient method,
Block Gram-Schmidt algorithms and their stability properties,
Block Modified Gram--Schmidt Algorithms and Their Analysis,
Improved Gram-Schmidt type downdating methods,
Symbiosis between linear algebra and optimization,
One-sided reduction to bidiagonal form,
Component-wise perturbation analysis and error bounds for linear least squares solutions,
Numerics of Gram-Schmidt orthogonalization,
The loss of orthogonality in the Gram-Schmidt orthogonalization process
