A New Algorithm for Solving Ill-conditioned Linear System with an Auto- Parameter
Tianyu He, Jinshan Wang, Zonghao Tian
Available Online July 2016.
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- Particle swarm optimization algorithm, auto-parameter, ill-conditioned linear system.
- 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.
- Open Access
- This is an open access article distributed under the CC BY-NC license.
Cite this article
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 - https://doi.org/10.2991/iccia-17.2017.20 ID - He2016/07 ER -