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2014 An Algorithm for the Truncated Matrix Hausdorff Moment Problem
Abdon E. Choque Rivero, Sergey M. Zagorodnyuk
Commun. Math. Anal. 17(2): 108-130 (2014).


In this paper we obtain an algorithm for the truncated matrix Hausdorff moment problem with an odd number of given moments. The coefficients of the corresponding linear fractional matrix transformation can be calculated using the prescribed moments. No conditions besides solvability are assumed for the moment problem. The question of the determinateness of the moment problem is answered by (a part of) the algorithm as well. Several examples are provided.


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Abdon E. Choque Rivero. Sergey M. Zagorodnyuk. "An Algorithm for the Truncated Matrix Hausdorff Moment Problem." Commun. Math. Anal. 17 (2) 108 - 130, 2014.


Published: 2014
First available in Project Euclid: 18 December 2014

zbMATH: 1332.42016
MathSciNet: MR3292963

Primary: 42C05 , 44A60 , 47B25

Keywords: Hausdorff matrix moment problem , self-adjoint contractive extensions

Rights: Copyright © 2014 Mathematical Research Publishers

Vol.17 • No. 2 • 2014
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