On the condition of nearly singular matrices under rank-1 perturbations

DOI10.1016/0024-3795(86)90224-7zbMath0589.15005OpenAlexW2070653371WikidataQ57397462 ScholiaQ57397462MaRDI QIDQ1073869

Tony F. Chan, Diana C. Resasco

Publication date: 1986

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0024-3795(86)90224-7

zbMATH Keywords

singular value decompositioncondition numbersingular vectors

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Conditioning of matrices (15A12)

Cites Work

• The behavior of eigenvalues and singular values under perturbations of restricted rank
• Rank-one modification of the symmetric eigenproblem
• Deflated Decomposition of Solutions of Nearly Singular Systems
• On the Existence and Computation of LU-Factorizations with Small Pivots
• On the Implicit Deflation of Nearly Singular Systems of Linear Equations
• Some Modified Matrix Eigenvalue Problems

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