Can two matrices be compared as being "small" and "large"? For example, consider matrix $X=X(t)$ as a function of parameter $t$ (say for time), such that \begin{equation} \frac{d X}{dt} = YX^2 + Z \end{equation} for some constant matrices $Y$ and $Z$. Under what conditions can one neglect matrix $Z$ in this equation?

  • $\begingroup$ What does "neglect" mean? $\endgroup$
    – Igor Rivin
    Feb 7, 2023 at 16:05
  • $\begingroup$ I borrowed the terminology from real numbers where you can "neglect" (or forget) 1 in comparison to one million. $\endgroup$
    – User101
    Feb 7, 2023 at 19:54


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