<abstract xmlns="http://www.w3.org/1999/xhtml"><p> In an earlier paper [J. of Appl. Math. and Informatics, 29(3-4)(2011), 697-712] we proposed a general projection-type algorithm with corrections and proved its convergence under a set of special assumptions. In this paper we prove convergence of this algorithm under a much weaker set of assumptions. This new framework gives us the possibility to obtain as a particular case of our method the two-step algorithm analysed in [B I T, 38(2)(1998), 275-282].</p></abstract>

In an earlier paper [J. of Appl. Math. and Informatics, 29(3-4)(2011), 697-712] we proposed a general projection-type algorithm with corrections and proved its convergence under a set of special assumptions. In this paper we prove convergence of this algorithm under a much weaker set of assumptions. This new framework gives us the possibility to obtain as a particular case of our method the two-step algorithm analysed in [B I T, 38(2)(1998), 275-282].

Weaker hypotheses for the general projection algorithm with corrections

Ovidius University of Constanta, Faculty of Mathematics and Informatics, Blvd. Mamaia 124, 900527, Constanta,

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

{"article-title":"Weaker hypotheses for the general projection algorithm with corrections"}

In an earlier paper [J. of Appl. Math. and Informatics, 29(3-4)(2011), 697-712] we proposed a general projection-type algorithm with corrections and proved its...

Weaker hypotheses for the general projection algorithm with corrections

Published Online: Apr 22, 2017

Page range: 9 - 16

Received: Oct 01, 2014

Accepted: Oct 01, 2014

DOI: https://doi.org/10.1515/auom-2015-0043

Keywords
inconsistent least-squares problems, projection algorithms, correction

© 2017

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Weaker hypotheses for the general projection algorithm with corrections

Published Online: Apr 22, 2017

Page range: 9 - 16

Received: Oct 01, 2014

Accepted: Oct 01, 2014

DOI: https://doi.org/10.1515/auom-2015-0043

Keywordsinconsistent least-squares problems, projection algorithms, correction

© 2017

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Keywords
inconsistent least-squares problems, projection algorithms, correction