M. Tyaglov

activity

20092024

most citedStructured matrices, continued fractions, and root localization of polynomials

41 citations · 121 across the 22 of their papers we have counts for

collaborators

Showing 2016Show all

3 papers · 1 filter

math.CA2016★ 3 cited

Self-interlacing polynomials II: Matrices with self-interlacing spectrum

Mikhail Tyaglov

An $n \times n$ matrix is said to have a self-interlacing spectrum if its eigenvalues $λ_{k}$ , $k = 1, \dots, n$ , are distributed as follows $λ_{1} > - λ_{2} > λ_{3} > \dots > (- 1)^{n - 1} λ_{n} > 0.$ A…

math.CA2016★ 3 cited

Self-interlacing polynomials

Mikhail Tyaglov

We describe a new subclass of the class of real polynomials with real simple roots called self-interlacing polynomials. This subclass is isomorphic to the class of real Hurwitz sta…

math.CA2016★ 2 cited

Linear finite difference operators preserving Laguerre-Pólya class

O. Katkova, M. Tyaglov, A. Vishnyakova

We completely describe all finite difference operators of the form $Δ_{M_{1}, M_{2}, h} (f) (z) = M_{1} (z) f (z + h) + M_{2} (z) f (z - h)$ preserving the Laguerre-Pólya class of entire functions…