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| 摘要: |
| 本文研究了矩阵多项式特征值界的估计问题.利用广义Brauer集,获得了矩阵多项式特征值的估计集合,并讨论了该集合的闭性、对称性和有界性等性质.最后给出了具体的算例,比较了矩阵多项式的Brauer集与广义Brauer集在特征值估计方面的精确性. |
| 关键词: 矩阵多项式 特征值估计 广义Brauer集 |
| DOI： |
| 分类号:O177.1 |
| 基金项目:国家自然科学基金资助(12261065);内蒙古自然科学基金(2021LHMS01004);内蒙古自治区直属高校基本科研业务费项目资助(JY20220151). |
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| ESTIMATION OF EIGENVALUES OF MATRIX POLYNOMIALS BY GENERALIZED BRAUER SET |
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RAO Xiu-xing,QI Ya-ru
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| Abstract: |
| In this paper, we investigate the problem of estimating the eigenvalue bounds of matrix polynomials. By employing the generalized Brauer set, we derive an estimation set for the eigenvalues of matrix polynomials and discuss its properties, including closure, symmetry, and boundedness. Finally, we present some concrete examples to compare the accuracy of the traditional Brauer set with the generalized Brauer set in eigenvalue estimation. |
| Key words: matrix Polynominal eigenvalue estimation the generalized Brauer set |
