On completions of symmetric and antisymmetric block diagonal partial matrices

2013/08/30 by Elena Rubei, Rubei, Elena
Mathematics · #15A83 #FOS: Mathematics #Rings and Algebras (math.RA) #math.RA #msc:15A83

paper · pdf · doi:10.48550/arxiv.1309.0039

the final version (which is similar to this one) will appear in Linear Algebra and its Applications

arxiv created 2013/08/30 · arxiv updated 2013/09/03

Abstract

A partial matrix is a matrix where only some of the entries are given. We determine the maximum rank of the symmetric completions of a symmetric partial matrix where only the diagonal blocks are given and the minimum rank and the maximum rank of the antisymmetric completions of an antisymmetric partial matrix where only the diagonal blocks are given.

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