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一类新的DZT矩阵的放缩矩阵及在行列式计算中的应用
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Abstract:
DZT矩阵是一类重要的非奇异H-矩阵,本文构造了一类新的DZT矩阵的放缩矩阵,新的放缩性矩阵在估计DZT矩阵的行列式中有重要应用。
The class of DZT matrices is an important subclass of nonsingular H-matrices. This paper presents a new scaling matrix of DZT matrices. The new scaling matrix has important applications in estimating the determinant of the DZT matrix.
[1] | Zhao, J., Liu, Q., Li, C. and Li, Y. (2018) Dashnic-Zusmanovich Type Matrices: A New Subclass of Nonsingular H-Matrices. Linear Algebra and Its Applications, 552, 277-287. https://doi.org/10.1016/j.laa.2018.04.028 |
[2] | Li, C., Cvetković, L., Wei, Y. and Zhao, J. (2019) An Infinity Norm Bound for the Inverse of Dashnic-Zusmanovich Type Matrices with Applications. Linear Algebra and Its Applications, 565, 99-122. https://doi.org/10.1016/j.laa.2018.12.013 |
[3] | Zeng, W., Liu, J. and Mo, H. (2023) Schur Complement-Based Infinity Norm Bound for the Inverse of Dashnic-Zusmanovich Type Matrices. Mathematics, 11, 2254. https://doi.org/10.3390/math11102254 |
[4] | Dai, P. and Pan, D. (2022) Subdirect Sum of Dashnic-Zusmanovich Type Matrices. Chinese Journal of Engineering Mathematics, 39, 979-996. |
[5] | Liu, L., Chen, X., Li, Y. and Wang, Y. (2021) Subdirect Sums of Dashnic-Zusmanovich Matrices. Bulletin des Sciences Mathématiques, 173, 103057. https://doi.org/10.1016/j.bulsci.2021.103057 |
[6] | Huang, T. and Liu, X. (2005) Estimations for Certain Determinants. Computers & Mathematics with Applications, 50, 1677-1684. https://doi.org/10.1016/j.camwa.2005.06.011 |