On the solvability of the matrix equation $(1+a{e}^{-\frac{\Vert X\Vert }{b}})X=Y$

Karsten Kruse

The treated matrix equation $(1+a{e}^{-\frac{\Vert X\Vert }{b}})X=Y$ in this short note has its origin in a modelling approach to describe the nonlinear time-dependent mechanical behaviour o…