I'm trying to numerically solve equation for $t\in \mathbb{R}$ $$ n \cdot e^{At}x_0= c $$ $A \in \mathbb{R^{3\times 3}},n,x_0 \in \mathbb{R^3}, c \in \mathbb{R}$. I'm looking for smallest positive solution. I have tried Newton's method but it doesn't work. Can you please recommend me a suitable method?
2026-05-15 11:49:19.1778845759
Stable solution of nonlinear equation
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