  For each square complex matrix, V. I. Arnold constructed a normal form with
the minimal number of parameters to which a family of all matrices B that are
close enough to this matrix can be reduced by similarity transformations that
smoothly depend on the entries of B. Analogous normal forms were also
constructed for families of complex matrix pencils by A. Edelman, E. Elmroth,
and B. Kagstrom, and contragredient matrix pencils (i.e., of matrix pairs up to
transformations (A,B)-->(S^{-1}AR,R^{-1}BS)) by M. I. Garcia-Planas and V. V.
Sergeichuk. In this paper we give other normal forms for families of matrices,
matrix pencils, and contragredient matrix pencils; our normal forms are block
triangular.
