Title :
A new note on spectra of optimal and superoptimal preconditioned matrices
Author :
Zhang, Li-Tao ; Huang, Ting-Zhu ; Cheng, Shao-Hua ; Gu, Tong-Xiang
Author_Institution :
Dept. of Math. & Phys., Zhengzhou Inst. of Aeronaut. Ind. Manage., Zhengzhou, China
Abstract :
Recently, Cheng et al. [Lin. Alg. Appl. 422 (2007): 482-485] proposed the spectral comparison of optimal preconditioner in Chan [SIAM J. Sci. Statist. Comput. 9 (1988): 766-771] and superoptimal preconditioner in Tyrtyshnikov [SIAM J. Matrix Anal. Appl. 13 (1992): 459-473]. In this paper, based on the work of Cheng et al., we further compare the spectra of optimal and superoptimal preconditioned matrices.
Keywords :
Hermitian matrices; Tyrtyshnikov; optimal preconditioned matrices; spectral comparison; superoptimal preconditioned matrices; Artificial neural networks;
Conference_Titel :
Computer Application and System Modeling (ICCASM), 2010 International Conference on
Conference_Location :
Taiyuan
Print_ISBN :
978-1-4244-7235-2
Electronic_ISBN :
978-1-4244-7237-6
DOI :
10.1109/ICCASM.2010.5619009
