Generalized determinant operation of multilateral matrices

XIA Qiqi; LUO Chun; JIA Junle; PAN Xiang; MA Xuanhang; ZHANG Yingshan

doi:10.3969/j.issn.2096-3424.2023.020

XIA Qiqi, LUO Chun, JIA Junle, PAN Xiang, MA Xuanhang, ZHANG Yingshan. Generalized determinant operation of multilateral matrices[J]. Journal of Technology, 2024, 24(4): 497-506. DOI: 10.3969/j.issn.2096-3424.2023.020

Citation:

Generalized determinant operation of multilateral matrices

Graphical Abstract

Graphical Abstract

Abstract

Abstract

The concept of block determinant \mathrmD\mathrme\mathrmt operation of multi-lateral matrices is explained, and the basic theorem of block determinant \mathrmD\mathrme\mathrmt operation of multi-lateral matrix section is proved. Some algebraic properties of block determinant \mathrmD\mathrme\mathrmt operation of multi-lateral matrices are given. As the application domain of this concept, the relationship between block determinant \mathrmD\mathrme\mathrmt operation and block tracing \mathrmT\mathrmr operation of multilateral matrix is explored.