English

On completions of symmetric and antisymmetric block diagonal partial matrices

Rings and Algebras 2013-09-03 v1

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.

Keywords

Cite

@article{arxiv.1309.0039,
  title  = {On completions of symmetric and antisymmetric block diagonal partial matrices},
  author = {Elena Rubei},
  journal= {arXiv preprint arXiv:1309.0039},
  year   = {2013}
}

Comments

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