Research articles
ScienceAsia 47 (2021): 773-778 |doi:
10.2306/scienceasia1513-1874.2021.092
Some new upper bounds for moduli of eigenvalues of
iterative matrices
Jun He*, Yanmin Liu, Guangjun Xu
ABSTRACT: Based on the matrix splitting M = P − Q, some upper bounds for the maximum of moduli of eigenvalues of the iteration matrix P−1Q are obtained when P is an strictly diagonally dominant (SDD) matrix or a doubly strictly
diagonally dominant (DSDD) matrix. In this paper, some new upper bounds are introduced, which is applicable to a
Dashnic-Zusmanovich (DZ) matrix P, and proved to be better than those in Huang and Gao [Int J Comput Math 80 (2003):799–803] and Li et al [Appl Math Comput 173 (2006):977–984] in certain cases.
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School of mathematics, Zunyi Normal College, Zunyi, Guizhou, 563006 China |
* Corresponding author, E-mail: hejunfan1@163.com
Received 9 Feb 2021, Accepted 8 Aug 2021
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