Bibliographic Details
| Title: |
Estimation of Matrix Numerical Characteristics. |
| Authors: |
Hu, Xingkai1 huxingkai84@163.com, Xue, Jianming2 xuejianming104@163.com |
| Source: |
IAENG International Journal of Applied Mathematics. Jul2026, Vol. 56 Issue 7, p2536-2540. 5p. |
| Subjects: |
Eigenvalues, Mathematical bounds, Numerical functions |
| Abstract: |
The purpose of this paper is to investigate the estimation of matrix numerical characteristics. We derive two upper bounds for the sum of the moduli of matrix eigenvalues. Meanwhile, we show estimations for the matrix spread. New bounds for the eigenvalue modulus, determinant, rank, as well as the real and imaginary parts of matrix eigenvalues are given. Furthermore, we propose four criteria for determining whether a matrix is non-singular. Finally, four numerical examples are provided to demonstrate the effectiveness of the proposed results. [ABSTRACT FROM AUTHOR] |
|
Copyright of IAENG International Journal of Applied Mathematics is the property of International Association of Engineers (IAENG) and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) |
| Database: |
Engineering Source |
