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Matrix Completions and Chordal Graphs

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Abstract

In a matrix-completion problem the aim is to specify the missing entries of a matrix in order to produce a matrix with particular properties. In this paper we survey results concerning matrix-completion problems where we look for completions of various types for partial matrices supported on a given pattern. We see that the existence of completions of the required type often depends on the chordal properties of graphs associated with the pattern.

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  1. Murdoch University, Perth, Western Australia

    Kenneth John Harrison

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  1. Kenneth John Harrison
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Correspondence to Kenneth John Harrison.

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Harrison, K.J. Matrix Completions and Chordal Graphs. Acta Math Sinica 19, 577–590 (2003). https://doi.org/10.1007/s10114-003-0266-2

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