Treffer: A Unified Treatment for the Matrix Stieltjes Moment Problem in Both Nondegenerate and Degenerate Cases: A unified treatment for the matrix Stieltjes moment problem in both nondegenerate and degenerate cases

Title:
A Unified Treatment for the Matrix Stieltjes Moment Problem in Both Nondegenerate and Degenerate Cases: A unified treatment for the matrix Stieltjes moment problem in both nondegenerate and degenerate cases
Authors:
Hu Yong-Jian, Chen Gong-Ning
Source:
Journal of Mathematical Analysis and Applications. 254:23-34
Publisher Information:
Elsevier BV, 2001.
Publication Year:
2001
Subject Terms:
Moment problems, Applied Mathematics, matrix Stieltjes moment problem, 0101 mathematics, Moment problems and interpolation problems in the complex plane, truncated Hamburger matrix moment problem, Nevanlinna-Pick interpolation problem, 01 natural sciences, Analysis
Document Type:
Fachzeitschrift Article
File Description:
application/xml
Language:
English
ISSN:
0022-247X
DOI:
10.1006/jmaa.2000.7195
Access URL:
https://zbmath.org/1580123
https://doi.org/10.1006/jmaa.2000.7195
https://core.ac.uk/display/82198734
https://www.sciencedirect.com/science/article/abs/pii/S0022247X00971956
https://www.sciencedirect.com/science/article/pii/S0022247X00971956
Rights:
Elsevier Non-Commercial
Accession Number:
edsair.doi.dedup.....d3044aaf9ca27d2ffd53e1863f8d0556
Database:
OpenAIRE

Weitere Informationen

The method developed by the authors [Linear Algebra Appl. 277, No. 1-3, 199-236 (1998; Zbl 0932.44005)] for solving the truncated Hamburger matrix moment problem is extended for deriving a unified method for solving the matrix Stieltjes moment problem. The developed uniform method deals not only with both the nondegenerate and the degenerate cases but also with the cases when the given set of Hermitian matrices is either even or odd. As an application a complete solution of the Nevanlinna-Pick interpolation problem in the class of matrix-valued Stieltjes functions is also derived.