Dynamical systems method for solving linear finite-rank operator equations

N. S. Hoang; A. G. Ramm

Annales Polonici Mathematici (2009)

  • Volume: 95, Issue: 1, page 77-93
  • ISSN: 0066-2216

Abstract

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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.

How to cite

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N. S. Hoang, and A. G. Ramm. "Dynamical systems method for solving linear finite-rank operator equations." Annales Polonici Mathematici 95.1 (2009): 77-93. <http://eudml.org/doc/280528>.

@article{N2009,
abstract = {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.},
author = {N. S. Hoang, A. G. Ramm},
journal = {Annales Polonici Mathematici},
keywords = {ill-posed problems; dynamical systems method; variational regularization},
language = {eng},
number = {1},
pages = {77-93},
title = {Dynamical systems method for solving linear finite-rank operator equations},
url = {http://eudml.org/doc/280528},
volume = {95},
year = {2009},
}

TY - JOUR
AU - N. S. Hoang
AU - A. G. Ramm
TI - Dynamical systems method for solving linear finite-rank operator equations
JO - Annales Polonici Mathematici
PY - 2009
VL - 95
IS - 1
SP - 77
EP - 93
AB - 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.
LA - eng
KW - ill-posed problems; dynamical systems method; variational regularization
UR - http://eudml.org/doc/280528
ER -

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