Solving Non-Homogeneous Coupled Linear Matrix Differential Equations in Terms of Matrix Convolution Product and Hadamard Product

Authors

  • Sarat Saechai Department of Mathematics, Faculty of Science, King Mongkut's Institute of Technology Ladkrabang, Chalongkrung Rd., Bangkok 10520, Thailand.
  • Pattrawut Chansangiam Department of Mathematics, Faculty of Science, King Mongkut's Institute of Technology Ladkrabang, Chalongkrung Rd., Bangkok 10520, Thailand.

DOI:

https://doi.org/10.26713/jims.v10i1-2.647

Keywords:

Matrix differential equation, Matrix convolution product, Hadamard product, Diagonal extraction operator, Matrix exponential

Abstract

We investigate a system of coupled non-homogeneous linear matrix differential equations. By applying the diagonal extraction operator, this system is reduced to a simple vector-matrix differential equation. An explicit formula of the general solution is then obtained in terms of matrix convolution product, Hadamard product, and elementary matrix functions. Moreover, we discuss certain special cases of the main system when initial conditions are imposed.

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References

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Published

2018-08-10
CITATION

How to Cite

Saechai, S., & Chansangiam, P. (2018). Solving Non-Homogeneous Coupled Linear Matrix Differential Equations in Terms of Matrix Convolution Product and Hadamard Product. Journal of Informatics and Mathematical Sciences, 10(1-2), 237–245. https://doi.org/10.26713/jims.v10i1-2.647

Issue

Vol. 10 No. 1-2 (2018)

Section

Research Articles

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