94 citations · 539 across the 23 of their papers we have counts for
23 papers
Miniversal deformations of chains of linear mappings
T. N. Gaiduk, V. V. Sergeichuk, N. A. Zharko
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…
Generic canonical form of pairs of matrices with zeros
Tatyana N. Gaiduk, Vladimir V. Sergeichuk
We consider a family of pairs of m-by-p and m-by-q matrices, in which some entries are required to be zero and the others are arbitrary, with respect to transformations (A,B)--> (S…
Generic families of matrix pencils and their bifurcation diagrams
M. Isabel Garcia-Planas, Vladimir V. Sergeichuk
V. I. Arnold [Russian Math. Surveys 26, no. 2, 1971, 29-43] constructed smooth generic families of matrices with respect to similarity transformations depending smoothly on the ent…
Canonical matrices of isometric operators on indefinite inner product spaces
Vladimir V. Sergeichuk
We give canonical matrices of a pair (A,B) consisting of a nondegenerate form B and a linear operator A satisfying B(Ax,Ay)=B(x,y) on a vector space over F in the following cases:…
Classification of sesquilinear forms with the first argument on a subspace or a factor space
Vyacheslav Futorny, Vladimir V. Sergeichuk
We give canonical matrices of bilinear or sesquilinear forms UxV-->C, (V/U)xV-->C, in which V is a vector space over the field C of complex numbers and U is its subspace.
Rigid systems of second-order linear differential equations
M. Isabel Garcia-Planas, M. Dolors Magret, Vladimir V. Sergeichuk +1
We say that a system of differential equations d^2x(t)/dt^2=Adx(t)/dt+Bx(t)+Cu(t), in which A and B are m-by-m complex matrices and C is an m-by-n complex matrix, is rigid if it ca…