Structure in loss of orthogonality
type: Item
instance of: scholarly article
title: Structure in loss of orthogonality
zbMATH Open document ID: 1467.65029
author: Xiao-Wen Chang
author: Christopher C. Paige
author: David Titley-Peloquin
published in: Linear Algebra and its Applications
publication date: 2021-06-04T00:00:00Z
Mathematics Subject Classification ID: 65F15
Mathematics Subject Classification ID: 65F25
Mathematics Subject Classification ID: 65G50
Mathematics Subject Classification ID: 15A18
zbMATH DE Number: 7355235
zbMATH Keywords: loss of orthogonality
zbMATH Keywords: singular value decomposition
zbMATH Keywords: Jordan canonical form
zbMATH Keywords: rounding error analysis
zbMATH Keywords: Lanczos process
zbMATH Keywords: eigenproblem
describes a project that uses: CRAIG
describes a project that uses: LSQR
describes a project that uses: LSMR
MaRDI profile type: Publication
full work available at URL: j.laa.2020.07.024
OpenAlex ID: W3044199524
cites work: Loss and Recapture of Orthogonality in the Modified Gram–Schmidt Algorithm
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cites work: An Augmented Stability Result for the Lanczos Hermitian Matrix Tridiagonalization Process
cites work: Accuracy of the Lanczos Process for the Eigenproblem and Solution of Equations
cites work: LSQR: An Algorithm for Sparse Linear Equations and Sparse Least Squares
cites work: Sensitivity analysis of the Lanczos reduction
cites work: Properties of a unitary matrix obtained from a sequence of normalized vectors
cites work: Q4348515
cites work: Q5674306
DOI: 10.1016/J.LAA.2020.07.024
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description: scientific article; zbMATH DE number 7355235