Rank-one completions of partial matrices and completely rank-nonincreasing linear functionals

Rank-one completions of partial matrices and completely rank-nonincreasing linear functionals

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.

Bibliographic Details
Main Authors: Hadwin, D., Harrison, K., Ward, Jo
Format: Journal Article
Published: American Mathematical Society 2006
Online Access:http://www.ams.org/journals/proc/2006-134-08/S0002-9939-06-08094-4/S0002-9939-06-08094-4.pdf
http://hdl.handle.net/20.500.11937/25896

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