T. Klymchuk

activity

20162020

most citedRoth's solvability criteria for the matrix equations

A X - X B = C

and

X - A X B = C

over the skew field of quaternions with an involutive automorphism

q \mapsto q^

41 citations · 105 across the 7 of their papers we have counts for

collaborators

Showing 2018Show all

2 papers · 1 filter

math.CA2018★ 12 cited

Perturbation analysis of a matrix differential equation $x ˙ = A B x$

M. Isabel Garcìa-Planas, Tetiana Klymchuk

Two complex matrix pairs $(A, B)$ and $(A^{'}, B^{'})$ are contragrediently equivalent if there are nonsingular $S$ and $R$ such that $(A^{'}, B^{'}) = (S^{- 1} A R, R^{- 1} B S)$ . M.I. Garc\'ıa-Planas an…

math.RT2018★ 13 cited

Regularizing algorithm for mixed matrix pencils

Tetiana Klymchuk

P. Van Dooren (1979) constructed an algorithm for computing all singular summands of Kronecker's canonical form of a matrix pencil. His algorithm uses only unitary transformations,…

Perturbation analysis of a matrix differential equation x˙=ABx

Regularizing algorithm for mixed matrix pencils

Perturbation analysis of a matrix differential equation $x ˙ = A B x$