The strong matrix Stieltjes moment problem
A.E. Choque Rivero, S.M. Zagorodnyuk
TL;DR
This paper investigates the strong matrix Stieltjes moment problem, establishing conditions for its solvability, describing all solutions analytically, and determining when the problem is unique.
Contribution
It provides necessary and sufficient conditions for solvability and determinateness, and offers an analytic description of all solutions for the strong matrix Stieltjes moment problem.
Findings
Necessary and sufficient conditions for solvability
Analytic description of all solutions
Criteria for determinateness
Abstract
In this paper we study the strong matrix Stieltjes moment problem. We obtain necessary and sufficient conditions for its solvability. An analytic description of all solutions of the moment problem is derived. Necessary and sufficient conditions for the determinateness of the moment problem are given.
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Taxonomy
TopicsSpectral Theory in Mathematical Physics · Matrix Theory and Algorithms · Quantum chaos and dynamical systems