Projectively and weakly simultaneously diagonalizable matrices and their applications

@article{Ding2022ProjectivelyAW,
  title={Projectively and weakly simultaneously diagonalizable matrices and their applications},
  author={Wen-Juan Ding and Jianze Li and Shuzhong Zhang},
  journal={ArXiv},
  year={2022},
  volume={abs/2205.13245}
}
. Characterizing simultaneously diagonalizable (SD) matrices has been receiving considerable attention in the recent decades due to its wide applications and its role in matrix analysis. However, the notion of SD matrices is arguably still restrictive for wider applications. In this paper, we consider two error measures related to the simultaneous diagonalization of matrices, and propose several new variants of SD thereof; in particular, TWSD, TWSD-B, T m,n -SD (SDO), DWSD and D m,n -SD (SDO… 

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