Dynamical systems method for solving linear ill-posed problems

A. G. Ramm

Annales Polonici Mathematici (2009)

  • Volume: 95, Issue: 3, page 253-272
  • ISSN: 0066-2216

Abstract

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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.

How to cite

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A. G. Ramm. "Dynamical systems method for solving linear ill-posed problems." Annales Polonici Mathematici 95.3 (2009): 253-272. <http://eudml.org/doc/280279>.

@article{A2009,
abstract = {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.},
author = {A. G. Ramm},
journal = {Annales Polonici Mathematici},
keywords = {ill-posed problems; dynamical systems method (DSM); regularization parameter; discrepancy principle; unbounded operators; linear operator equations},
language = {eng},
number = {3},
pages = {253-272},
title = {Dynamical systems method for solving linear ill-posed problems},
url = {http://eudml.org/doc/280279},
volume = {95},
year = {2009},
}

TY - JOUR
AU - A. G. Ramm
TI - Dynamical systems method for solving linear ill-posed problems
JO - Annales Polonici Mathematici
PY - 2009
VL - 95
IS - 3
SP - 253
EP - 272
AB - 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.
LA - eng
KW - ill-posed problems; dynamical systems method (DSM); regularization parameter; discrepancy principle; unbounded operators; linear operator equations
UR - http://eudml.org/doc/280279
ER -

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