Solution bounds for overdetermined slae with inexact right-hand side

DOI10.1007/S10559-021-00350-0zbMath1470.15004OpenAlexW3148792805MaRDI QIDQ2044007

Y. A. Sharapov, V. F. Gubarev

Publication date: 4 August 2021

Published in: Cybernetics and Systems Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10559-021-00350-0

zbMATH Keywords

estimationsingular value decompositionoverdetermined systemconditionalitybounded errorguarantee interval

Mathematics Subject Classification ID

Numerical solutions to overdetermined systems, pseudoinverses (65F20) Direct numerical methods for linear systems and matrix inversion (65F05) Linear equations (linear algebraic aspects) (15A06)

Cites Work

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• Analytical representation of perturbations of pseudoinverse matrices
• Perturbation bounds for the least squares problem
• Error estimation for a weighted minimum-norm least squares solution with positive definite weights

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