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	Some lower bounds for the spectral radius of matrices using traces
	Wang, Lin ; Xu, Mao-Zhi ; Huang, Ting-Zhu
	2010
关键词	Eigenvalue Spectral radius Lower bound Trace EIGENVALUES
英文摘要	Let A be an n x n matrix with eigenvalues lambda(1),lambda 2,...,lambda(n), and let m be an integer satisfying rank(A) <= m <= n. If A is real, the best possible lower bound for its spectral radius in terms of m, tr A and tr A(2) is obtained. If A is any complex matrix, two lower bounds for Sigma(n)(j=1) |lambda(j)|(2) are compared, and furthermore a new lower bound for the spectral radius is given only in terms of tr A, tr A(2), parallel to A parallel to, parallel to A*A - AA*parallel to, n and m. Crown Copyright (C) 2009 Published by Elsevier Inc. All rights reserved.; Mathematics, Applied; Mathematics; SCI(E); EI; 0; ARTICLE; 4,SI; 1007-1016; 432
语种	英语
出处	SCI ; EI
出版者	线性代数及其应用
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/157702]
专题	数学科学学院
推荐引用方式 GB/T 7714	Wang, Lin,Xu, Mao-Zhi,Huang, Ting-Zhu. Some lower bounds for the spectral radius of matrices using traces. 2010-01-01.

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