V. Kurbatov

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20152023

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math.NA2023

An approximation of matrix exponential by a truncated Laguerre series

E. D. Khoroshikh, V. G. Kurbatov

The Laguerre functions $l_{n, τ}^{α}$ , $n = 0, 1, \dots$ , are constructed from generalized Laguerre polynomials. The functions $l_{n, τ}^{α}$ depend on two parameters: scale $τ > 0$ and order…

math.NA2021

An estimate of approximation of an analytic function of a matrix by a rational function

M. Ferus, V. G. Kurbatov, I. V. Kurbatova

Let $A$ be a square complex matrix; $z_{1}$ , ..., $z_{N} \in C$ be arbitrary (possibly repetitive) points of interpolation; $f$ be an analytic function defined on a neighborhoo…

math.NA2021

Calculating a function of a matrix with a real spectrum

P. Kubelík, V. G. Kurbatov, I. V. Kurbatova

Let $T$ be a square matrix with a real spectrum, and let $f$ be an analytic function. The problem of the approximate calculation of $f (T)$ is discussed. Applying the Schur triangul…