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Rank-one completions of partial matrices and completely rank-nonincreasing linear functionals
Authors:
Don Hadwin, K. J. Harrison and J. A. Ward
Journal:
Proc. Amer. Math. Soc. 134 (2006), 2169-2178
MSC (2000):
Primary 15A60
Posted:
March 20, 2006
MathSciNet review:
2213688
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Abstract: We obtain necessary and sufficient conditions for the existence and the uniqueness of rank-one completions of a partial matrix, and we verify a conjecture of Hadwin and Larson concerning the nature of completely rank-nonincreasing linear functionals defined on pattern subspaces.
References
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Additional Information
Don Hadwin
Affiliation:
Department of Mathematics, University of New Hampshire, Durham, New Hampshire 03824
Email:
don@cisunix.unh.edu
K. J. Harrison
Affiliation:
School of Mathematical and Physical Sciences, Murdoch University, Murdoch, W.A. 6150, Australia
Email:
K.Harrison@murdoch.edu.au
J. A. Ward
Affiliation:
Faculty of Science, Curtin University, Bentley, W.A. 6102, Australia
Email:
J.Ward@exchange.curtin.edu.au
DOI:
http://dx.doi.org/10.1090/S0002-9939-06-08094-4
PII:
S 0002-9939(06)08094-4
Received by editor(s):
April 23, 2002
Received by editor(s) in revised form:
July 15, 2004
Posted:
March 20, 2006
Communicated by:
David R. Larson
Article copyright:
© Copyright 2006 American Mathematical Society
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