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math.RT2011★ 26 cited
Miniversal deformations of matrices under *congruence and reducing transformations
A. Dmytryshyn, V. Futorny, V. V. Sergeichuk
V.I. Arnold [Russian Math. Surveys 26(2) (1971) 29-43] constructed a miniversal deformation of a square complex matrix under similarity; that is, a simple normal form to which not…
math.RT2011
Miniversal deformations of pairs of symmetric matrices under congruence
Andrii Dmytryshyn
For each pair of complex symmetric matrices we provide a normal form with a minimal number of independent parameters, to which all pairs of complex symmetric matrices $(\wi…
math.RT2011
Miniversal deformations of pairs of skew-symmetric matrices under congruence
Andrii Dmytryshyn
Miniversal deformations for pairs of skew-symmetric matrices under congruence are constructed. To be precise, for each such a pair we provide a normal form with a minimal n…