Research on Application of Mathematical Modeling Based on Matrix Theory

Xueyan Song

doi:10.54097/fcis.v2i2.3743

Authors

Xueyan Song

DOI:

https://doi.org/10.54097/fcis.v2i2.3743

Keywords:

Matrix, Mathematical modeling, Thought tool

Abstract

As a simple tool for understanding complex things, matrix has been widely used in various disciplines and mathematical modeling. The development of any discipline is closely related to quantitative analysis and research, and mathematics plays a vital role in quantitative research. Matrix is one of the most basic mathematical concepts, and it is also a simple thinking tool for people to grasp the essence of complex practical things. Matrix is widely used in mathematical modeling. In the process of mathematical modeling, we often encounter some mathematical models that can be handled by graphs and adjacency matrices of graphs. Using adjacency matrix to represent graphs is simple and intuitive, and adjacency matrix can represent some practical information of graphs. In this paper, the application of adjacency matrix in mathematical modeling is analyzed and studied, and on this basis, the application of matrix in mathematical modeling is further studied and popularized.

Downloads

Download data is not yet available.

References

Wang Ling, Li Xiuying. Application of matrix theory in mathematical modeling [J]. Knowledge base, 2019, 469(21):187-188.

Chang Hong. Analysis and research on mathematical modeling process of economic and environmental game [J]. Environmental Science and Management, 2018, 043(008):47-50.

Wang Zhen, Zhang Juan, He Jing, et al. Mathematical Modeling and Adaptive Routing Configuration of SpaceWire Spaceborne Network [J]. Space Electronics Technology, 2018, 15(1):7.

Chang Hong. Analysis and research on mathematical modeling process of economic and environmental game [J]. Environmental Science and Management, 2018, 43(8):4.

Manepalli P H, Alavi S. Mathematical modeling of mechanical and barrier properties of poly(lactic acid)/poly(butylene adipate-co-terephthalate)/ thermoplastic starch based nanocomposites[J]. Journal of Food Engineering, 2019, 261(11):60-65.

Liu Jing, Lian Dongyan, Hu Shuangnian. Mathematical modeling and simulation of synchronous control of asymmetric coupled sensor network [J]. Computer Simulation, 2019, 36(10):5.

Gao Ting. Fuzzy mathematical modeling analysis of electro-hydraulic servo vibration table life [J]. Journal of Weapon Equipment Engineering, 2021, 42(8):6.

Liu Qin. Mathematical Modeling of Intelligent Management of Water Supply System [J]. Smart City, 2022, 8(3):3.

Zhao Bingxin, Cui Bo, Liu Yihong, et al. A mathematical modeling and evaluation method of cable component complexity [J]. Spacecraft Engineering, 2019, 028(002):91-96.

Martins-Costa M L, Alegre D M, Bastos D, et al. A hyperbolic mathematical modeling for describing the transition saturated/unsaturated in a rigid porous medium[J]. International Journal of Non-Linear Mechanics, 2017, 95(10):168-177.