A New Algorithm for Solving Ill-conditioned Linear System with an Auto- Parameter

DOI

10.2991/iccia-17.2017.20How to use a DOI?

Keywords

Particle swarm optimization algorithm, auto-parameter, ill-conditioned linear system.

Abstract

A new simple and effective method for solving ill-conditioned linear systems is presented in this paper. This method tried mainly not to decrease the error caused in direct solving, instead, it tries to transfer this error to a medium variable. At the same time, a parameter is introduced. In order to obtain the best parameter, PSO is used. An algorithm based on this method is presented, and examples show that this algorithm could solve extremely ill-conditioned linear systems correctly and stably.

Copyright

© 2017, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - CONF
AU  - Tianyu He
AU  - Jinshan Wang
AU  - Zonghao Tian
PY  - 2016/07
DA  - 2016/07
TI  - A New Algorithm for Solving Ill-conditioned Linear System with an Auto- Parameter
BT  - Proceedings of the 2nd International Conference on Computer Engineering, Information Science & Application Technology (ICCIA 2017)
PB  - Atlantis Press
SP  - 128
EP  - 131
SN  - 2352-538X
UR  - https://doi.org/10.2991/iccia-17.2017.20
DO  - 10.2991/iccia-17.2017.20
ID  - He2016/07
ER  -