非负矩阵谱半径的新界

孙文静; 杨晋; 刘彦芝; 连耀花; 黄明清

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非负矩阵谱半径的新界

更新时间：2026-09-14

- 非负矩阵谱半径的新界
- 非负矩阵谱半径的新界
- Issue 1, (2011)
- 作者机构：
  
  太原理工大学理学院
- 作者简介：
- 基金信息：
- DOI：
  CLC：
- Published：2011
- 稿件说明：
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孙文静, 杨晋, 刘彦芝, et al. 非负矩阵谱半径的新界[J]. 2011, (1).
DOI：

孙文静, 杨晋, 刘彦芝, et al. 非负矩阵谱半径的新界[J]. 2011, (1). DOI：

摘要

对非负矩阵的谱半径进行了估计

对Frobenius界值方法加以研究

给出了一种易于计算且能得到较紧的界的方法.对定理3作了进一步的研究

得到了新的定理

精确度较高.用数值的例子验证了这两种方法

并将结果与以往的结果作比较

有一定的有效性.

Abstract

Spectrum radius estimation of nonnegative matrix was discussed.The bound for the eigenvalue of nonnegative matrix based on Frobenius theorem was studied.A new method was presented to get two-sided bounds more easily and tightly.The theorem 3 was further studied and a new theorem of higher precision was obtained.Several numerical examples were given to illustrate the effectiveness by comparing with the results obtained with existing method.

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