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非负矩阵最大特征值的新界值
引用本文:贾利宁,吴伟. 非负矩阵最大特征值的新界值[J]. 数学的实践与认识, 2012, 42(16): 219-223
作者姓名:贾利宁  吴伟
作者单位:天津大学理学院数学系,天津,300072
摘    要:
对最大特征值的上下界进行估计是非负矩阵理论的重要部分,借助两个新的矩阵,从而得到一个判定非负矩阵最大特征值范围的界值定理,其结果比有关结论更加精确.

关 键 词:非负矩阵  最大特征值  新界值

New Bounds for the Greatest Eigenvalue of Nonnegative Matrices
JIA Li-ning , WU Wei. New Bounds for the Greatest Eigenvalue of Nonnegative Matrices[J]. Mathematics in Practice and Theory, 2012, 42(16): 219-223
Authors:JIA Li-ning    WU Wei
Affiliation:(Department of Mathematics,School of Science,Tianjin University,Tianjin 300072,China)
Abstract:
Computing the bounds for the greatest eigenvalue is an important part in the theory of nonnegative matrices.In this paper,we obtained new bounds for the greatest eigenvalue of nonnegative matrices by two new matrices.Compared with the relevant conclusions, the new bounds are more accurate.
Keywords:nonnegative matrices  greatest eigenvalue  new bounds
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