Geodesic
Miniversal deformations of chains of linear mappings
Algebra and discrete mathematics, no. 1 (2005), pp. 47-61.

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V. I. Arnold [Russian Math. Surveys, 26 (no. 2), 1971, pp. 29–43] gave a miniversal deformation of matrices of linear operators; that is, a simple canonical form, to which not only a given square matrix $A$, but also the family of all matrices close to $A$, can be reduced by similarity transformations smoothly depending on the entries of matrices. We study miniversal deformations of quiver representations and obtain a miniversal deformation of matrices of chains of linear mappings $$ V_1\,\frac{\qquad}{\qquad}\,V_2\,\frac{\qquad}{\qquad}\,\cdots\,\frac{\qquad}{\qquad}\,V_t\,, $$ where all $V_i$ are complex or real vector spaces and each line denotes $\longrightarrow$ or $\longleftarrow$.
Keywords: Parametric matrices; Quivers; Miniversal deformations. 
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T. N. Gaiduk; V. V. Sergeichuk; N. A. Zharko. Miniversal deformations of chains of linear mappings. Algebra and discrete mathematics, no. 1 (2005), pp. 47-61. http://geodesic.mathdoc.fr/item/ADM_2005_1_a4/