On unbounded operators and applications

DOI10.1016/j.aml.2007.05.007zbMath1159.47004arXivmath/0508587OpenAlexW2136017497MaRDI QIDQ2483146

Alexander G. Ramm

Publication date: 28 April 2008

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

Full work available at URL: https://arxiv.org/abs/math/0508587

zbMATH Keywords

regularizationdiscrepancy principleill-posed problemsunbounded linear operators

Mathematics Subject Classification ID

Linear operators and ill-posed problems, regularization (47A52)

Related Items (7)

THE DYNAMICAL SYSTEMS METHOD FOR SOLVING NONLINEAR EQUATIONS WITH MONOTONE OPERATORS ⋮ Unbounded WCT operators and applications to linear equations ⋮ How large is the class of operator equations solvable by a DSM Newton-type method? ⋮ An efficient dynamical systems method for solving singularly perturbed integral equations with noise ⋮ On a new notion of the solution to an ill-posed problem ⋮ A discrepancy principle for equations with monotone continuous operators ⋮ Dynamical systems gradient method for solving nonlinear equations with monotone operators

Cites Work

• Dynamical systems method (DSM) for selfadjoint operators
• Theory of linear ill-posed problems and its applications. Transl., updated and revised from the Russian edition 1978
• Dynamical systems method for solving operator equations.
• Ill-posed equations with transformed argument
• Regularization of ill-posed problems with unbounded operators
• Discrepancy principle for the dynamical systems method
• A new discrepancy principle
• On a new notion of regularizer
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