中文

Journal of Applied Sciences ›› 1998, Vol. 16 ›› Issue (3): 269-275.

• Articles • Previous Articles     Next Articles

Bounds for Spectral Radii of Iterative Matrices-

HUANG TINGZHU1, BAI ZHONGZHI2   

  1. 1. Math. Department, University of Electronic Science & Technology of China, Chengdu 610054;
    2. Institute of Comp. Math. & Sci. Eng. Comp., Chinese Academy of Sciences, Beijing 100080
  • Received:1997-04-04 Revised:1997-10-27 Online:1998-09-30 Published:1998-09-30
  • Supported by:
    Supported by Sichuan Sci. & Tech. Foundation for Young Man and National Sci. Foundation

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Abstract: In this paper, we apply the concept of G-functions introduced by Hoffman and Nowosad to obtain the bounds for moduli of eigenvalues of M-1 N, where M, N∈Cn,n,M is nonsingular. As their applications, we get the bounds for spectral radii of iterative matrices for solving linear systems.

Key words: iteration, spectral radius, G-function, eigenvalue