求解Stieltjes矩阵矩问题的熵函数及其极值

IF 0.2 Q4 MATHEMATICS

Methods of Functional Analysis and Topology Pub Date : 2020-03-28 DOI:10.31392/mfat-npu26_1.2020.02

Yuriy M. Dyukarev

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引用次数: 0

摘要

熵泛函及其极值已经被许多作者研究过（例如，参见[1]，[2]，[3]，[5]）。但是，对于矩阵Stieltjes类中的插值问题，没有考虑类似的泛函。本文首次定义并研究了Stieltjes矩阵矩问题解上的熵泛函。给定整数m，n≥1，我们设C表示复数x=col列的线性空间(

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

Entropy functionals and their extremal values have been studied by many authors (see, for example, [1], [2], [3], [5]). But similar functionals were not considered for solution interpolation problems in the matrix Stieltjes class. In this paper, entropy functionals over solutions of the Stieltjes matrix moment problem are defined and studied for the first time. Given integers m,n ≥ 1, we let C denote the linear space of columns of complex numbers x = col (

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来源期刊

Methods of Functional Analysis and Topology MATHEMATICS-

CiteScore

0.60

自引率

0.00%

发文量

审稿时长

25 weeks

期刊介绍： Methods of Functional Analysis and Topology (MFAT), founded in 1995, is a peer-reviewed arXiv overlay journal publishing original articles and surveys on general methods and techniques of functional analysis and topology with a special emphasis on applications to modern mathematical physics.