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Uncertainty in the solution of linear operator equations

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Publication:797962
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DOI10.1007/BF01934519zbMath0546.65036OpenAlexW1967256593MaRDI QIDQ797962

Peter Linz

Publication date: 1984

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01934519


zbMATH Keywords

uncertaintycondition numbernormed spacesNumerical examplesill- posed problemsmeasure of accuracy


Mathematics Subject Classification ID

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


Related Items (8)

What are the proper condition numbers of discretized ill-posed problems? ⋮ Regularization of a Volterra integral equation by linear inequalities ⋮ Modulus of continuity for conditionally stable ill-posed problems in Hilbert space ⋮ A critique of numerical analysis ⋮ Optimal residual algorithms for linear operator equations ⋮ Approximations for ill-posed problems ⋮ On regularization and discretization control for the numerical solution of inverse problems in parabolic equations ⋮ Regularization tools: A Matlab package for analysis and solution of discrete ill-posed problems



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