一类新的DZT矩阵的放缩矩阵及在行列式计算中的应用
A New Scaling Matrix of DZT Matrices and Its Application in Determinant Calculation
DOI: 10.12677/aam.2025.143102, PDF,   
作者: 张峻伟, 王 超, 鲍宇轩, 王 石, 吴沐青：沈阳航空航天大学民用航空学院，辽宁 沈阳；吕振华：沈阳航空航天大学理学院，辽宁 沈阳
关键词: DZT矩阵；放缩矩阵；行列式；DZT Matrix； Scaling Matrix； Determinant
摘要: 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。
Abstract: 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.
文章引用：张峻伟, 王超, 鲍宇轩, 王石, 吴沐青, 吕振华. 一类新的DZT矩阵的放缩矩阵及在行列式计算中的应用[J]. 应用数学进展, 2025, 14(3): 156-162. https://doi.org/10.12677/aam.2025.143102

参考文献

[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. [Google Scholar] [CrossRef] 
[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. [Google Scholar] [CrossRef] 
[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. [Google Scholar] [CrossRef] 
[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. [Google Scholar] [CrossRef] 
[6] Huang, T. and Liu, X. (2005) Estimations for Certain Determinants. Computers & Mathematics with Applications, 50, 1677-1684. [Google Scholar] [CrossRef] 

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