Lower and upper bounds in the perturbation of general linear algebraic equations

DOI10.1016/S0893-9659(00)00111-7zbMath0985.65029MaRDI QIDQ5938878

Jiu Ding

Publication date: 7 August 2001

Published in: Applied Mathematics Letters (Search for Journal in Brave)

zbMATH Keywords

consistencylower and upper error boundsperturbation of linear systemsrelative error

Mathematics Subject Classification ID

Numerical solutions to overdetermined systems, pseudoinverses (65F20)

Related Items (2)

Lower and upper bounds for the perturbation of linear operators equations ⋮ Bounds for perturbed solutions of linear operator equations in Hilbert space.

Cites Work

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• Perturbation of the least squares problem
• On condition numbers and the distance to the nearest ill-posed problem
• On the Perturbation of Pseudo-Inverses, Projections and Linear Least Squares Problems
• Perturbation Results for Projecting a Point onto a Linear Manifold
• Extensions and Applications of the Householder Algorithm for Solving Linear Least Squares Problems

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