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

Authors

  • Yu. M. Dyukarev Department of Physics, V. N. Karazin Kharkov National University, Svobody Square 4, Kharkov, 61202, Ukraine

DOI:

https://doi.org/https://doi.org/10.31392/MFAT-npu26_1.2020.02

Keywords:

Stieltjes moment problem, entropy functionals, maximum entropy

Abstract

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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Published

2020-03-25

Issue

Vol. 26 No. 1 (2020)

Section

Articles

How to Cite

Dyukarev, Yu. M. “Entropy Functionals and Their Extremal Values for Solving the Stieltjes Matrix Moment Problem”. Methods of Functional Analysis and Topology, vol. 26, no. 1, Mar. 2020, pp. 27-38, https://doi.org/https://doi.org/10.31392/MFAT-npu26_1.2020.02.