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Subjects
47-XX Operator theory
47Axx General theory of linear operators
47A52 Ill-posed problems, regularization

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Dynamical systems method for solving linear finite-rank operator equations

N. S. Hoang, A. G. Ramm (2009)

Annales Polonici Mathematici

A version of the dynamical systems method (DSM) for solving ill-conditioned linear algebraic systems is studied. An a priori and an a posteriori stopping rules are justified. An iterative scheme is constructed for solving ill-conditioned linear algebraic systems.

Dynamical systems method for solving linear ill-posed problems

A. G. Ramm (2009)

Annales Polonici Mathematici

Various versions of the Dynamical Systems Method (DSM) are proposed for solving linear ill-posed problems with bounded and unbounded operators. Convergence of the proposed methods is proved. Some new results concerning the discrepancy principle for choosing the regularization parameter are obtained.

Currently displaying 1 – 2 of 2

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