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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

Matrix extensions and eigenvalue completions, the generic case


Authors: William Helton, Joachim Rosenthal and Xiaochang Wang
Journal: Trans. Amer. Math. Soc. 349 (1997), 3401-3408
MSC (1991): Primary 15A18; Secondary 93B60
MathSciNet review: 1432201
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Abstract: In this paper we provide new necessary and sufficient conditions for the so-called eigenvalue completion problem.


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Additional Information

William Helton
Affiliation: Department of Mathematics, Universityof California at San Diego, La Jolla, California 92093-0112
Email: helton@osiris.ucsd.edu

Joachim Rosenthal
Affiliation: Department of Mathematics, University of Notre Dame, Notre Dame, Indiana 46556-5683
Email: Rosenthal.1@nd.edu

Xiaochang Wang
Affiliation: Department of Mathematics, Texas Tech University, Lubbock, Texas 79409-2013
Email: mdxia@ttacs1.ttu.edu

DOI: http://dx.doi.org/10.1090/S0002-9947-97-01975-2
PII: S 0002-9947(97)01975-2
Keywords: Eigenvalue completion, dominant morphism theorem, inverse eigenvalue problems
Received by editor(s): September 8, 1995
Received by editor(s) in revised form: March 14, 1996
Additional Notes: J. Rosenthal is supported in part by NSF grant DMS-9400965, and X. Wang is supported in part by NSF grant DMS-9500594.
Article copyright: © Copyright 1997 American Mathematical Society