Lower and upper bounds for the perturbation of linear operators equations

DOI10.1016/S0893-9659(04)90011-0zbMath1059.47009OpenAlexW2091860496MaRDI QIDQ1433232

Jiu Ding

Publication date: 15 June 2004

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

Full work available at URL: https://doi.org/10.1016/s0893-9659(04)90011-0

zbMATH Keywords

perturbation analysislinear operator equationoptimal boundsleast-squares problems in Hilbert spaces

Mathematics Subject Classification ID

Perturbation theory of linear operators (47A55) Numerical solutions to equations with linear operators (65J10) Equations and inequalities involving linear operators, with vector unknowns (47A50)

Cites Work

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• Minimal distance upper bounds for the perturbation of least squares problems in Hilbert spaces
• A generalization of a classic theorem in the perturbation theory for linear operators
• Inner, outer, and generalized inverses in banach and hilbert spaces
• Lower and upper bounds in the perturbation of general linear algebraic equations