94 citations · 912 across the 61 of their papers we have counts for
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Roth's solvability criteria for the matrix equations and over the skew field of quaternions with an involutive automorphism
Vyacheslav Futorny, Tetiana Klymchuk, Vladimir V. Sergeichuk
The matrix equation has a solution if and only if the matrices [A&C\\0&B] and [A &0\\0 & B] are similar. This criterion was proved over a field by W.E. Roth (1952) and ov…
Neighborhood radius estimation for Arnold's miniversal deformations of complex and -adic matrices
Victor A. Bovdi, Mohammed A. Salim, Vladimir V. Sergeichuk
V.I. Arnold (1971) constructed a simple normal form to which all complex matrices in a neighborhood of a given square matrix can be reduced by similarity transformation…
Each n-by-n matrix with n>1 is a sum of 5 coninvolutory matrices
Ma. Nerissa M. Abara, Dennis I. Merino, Vyacheslav I. Rabanovich +2
An complex matrix is called coninvolutory if and skew-coninvolutory if (which implies that is even). We prove that each matrix of s…
An informal introduction to perturbations of matrices determined up to similarity or congruence
Lena Klimenko, Vladimir V. Sergeichuk
The reductions of a square complex matrix A to its canonical forms under transformations of similarity, congruence, or *congruence are unstable operations: these canonical forms an…