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Transactions of the American Mathematical Society

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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

Joachim Rosenthal
Affiliation: Department of Mathematics, University of Notre Dame, Notre Dame, Indiana 46556-5683

Xiaochang Wang
Affiliation: Department of Mathematics, Texas Tech University, Lubbock, Texas 79409-2013

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

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