Yu. M. Dyukarev

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Articles: 2

Indeterminacy conditions for the matrix Nevanlinna-Pick problem and rational matrix functions of the first and second kind

MFAT 28 (2022), no. 1, 25-40

25-40

We obtain new indeterminacy conditions for the matrix Nevanlinna-Pick interpolation problem. These conditions are formulated in terms of the convergence of two matrix series. The elements of these series are rational matrix functions of the first and second kind.

Отримано нові умови невизначеності для матричної інтерполяційної задачі Неванлінни-Піка. Ці умови формулюється в термінах збіжності двох матричних рядів. Елементами цих рядів є раціональні матриць-функції першого і другого роду.

Entropy functionals and their extremal values for solving the Stieltjes matrix moment problem

Yu. M. Dyukarev

↓ Abstract | Article (.pdf)

MFAT 26 (2020), no. 1, 27-38

27-38

Entropy functionals and their extremal values for solving the Stieltjes matrix moment problem are defined and investigated for the first time. Explicit formulas for the extremal values of the entropy over the set of solutions of the Stieltjes matrix moment problem are obtained. A geometric interpretation in terms of Weyl matrix intervals is presented.

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