A Recursive Approach to the Matrix Moment Problem

Raúl E. Curto; Abderrazzak Ech-charyfy; Kaissar Idrissi; El Hassan Zerouali

doi:10.1007/s11785-026-02044-x

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A Recursive Approach to the Matrix Moment Problem

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A Recursive Approach to the Matrix Moment Problem

Raúl E. Curto, Abderrazzak Ech-charyfy, Kaissar Idrissi and El Hassan Zerouali

Complex analysis and operator theory, Vol.20(7), 191

10/01/2026

DOI: 10.1007/s11785-026-02044-x

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Abstract

In this paper, we study the truncated matrix moment problem in one variable through linearly recursive matrix extensions. We give necessary and sufficient conditions for a linearly recursive matrix extension of finite data to be a matrix moment sequence in the classical cases of Hamburger, Stieltjes, and Hausdorff moment problems.

Mathematics

Analysis

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General

Mathematics and Statistics

Operator Theory

Details

Title: Subtitle: A Recursive Approach to the Matrix Moment Problem
Creators: Raúl E. Curto - University of Iowa
Abderrazzak Ech-charyfy - Mohammed V University
Kaissar Idrissi - Mohammed V University
El Hassan Zerouali - Mohammed V University
Resource Type: Journal article
Publication Details: Complex analysis and operator theory, Vol.20(7), 191
DOI: 10.1007/s11785-026-02044-x
ISSN: 1661-8254
eISSN: 1661-8262
Publisher: Springer International Publishing
Grant note: DMS-2247167 / National Science Foundation, United States File 1026 / Arab Fund Foundation Fellowship Program. The Distinguished Scholar Award
Alternative title: A Recursive Approach to the Matrix Moment Problem
Language: English
Date published: 10/01/2026
Academic Unit: Mathematics
Record Identifier: 9985242766602771

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