On the Convergence of an Algorithm Computing Minimum-Norm Solutions of Ill-Posed Problems

DOI10.2307/2006100zbMath0439.65036OpenAlexW4241605097MaRDI QIDQ3881810

J. T. Marti

Publication date: 1980

Full work available at URL: https://doi.org/10.2307/2006100

zbMATH Keywords

Hilbert spaceerror boundprojection methodfinite element algorithmill-posed problemsminimal norm solution

Mathematics Subject Classification ID

Numerical solutions to equations with linear operators (65J10) Numerical differentiation (65D25)

Related Items (4)

On the condition number of matrices arising in the Tikhonov regularization method ⋮ Operator-theoretic and regularization approaches to ill-posed problems ⋮ A survey of recent advances in the numerical treatment of Volterra integral and integro-differential equations ⋮ Ill-Posed Problems: Operator Methodologies of Resolution and Regularization

Cites Work

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• Numerical iterative filters applied to first kind Fredholm integral equations
• An initial value method for solving Fredholm integral equation of the first kind
• Iterative methods for best approximate solutions of linear integral equations of the first and second kinds
• On Tikhonov's Method for Ill-Posed Problems
• An Algorithm for Computing Minimum Norm Solutions of Fredholm Integral Equations of the First Kind

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