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Matrix extensions and eigenvalue completions, the generic case
Author(s):
William
Helton;
Joachim
Rosenthal;
Xiaochang
Wang
Journal:
Trans. Amer. Math. Soc.
349
(1997),
3401-3408.
MSC (1991):
Primary 15A18;
Secondary 93B60
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Abstract:
In this paper we provide new necessary and sufficient conditions for the so-called eigenvalue completion problem.
References:
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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:
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.
Copyright of article:
Copyright
1997,
American Mathematical Society
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