Ranks of dense alternating sign matrices and their sign patterns

Miroslav Fiedler, Wei Gao, Frank J. Hall, Guangming Jing, Zhongshan Li, Mikhail Stroev

Research output: Contribution to journalArticlepeer-review

4 Scopus citations


In this paper, an explicit formula for the ranks of dense alternating sign matrices is obtained. The minimum rank and the maximum rank of the sign pattern of a dense alternating sign matrix are determined. Some related results and examples are also provided.

Original languageEnglish (US)
Pages (from-to)109-121
Number of pages13
JournalLinear Algebra and Its Applications
StatePublished - Apr 15 2015
Externally publishedYes


  • Alternating sign matrix
  • Dense matrix
  • Maximum rank
  • Minimum rank
  • Rank
  • Sign pattern matrix

ASJC Scopus subject areas

  • Algebra and Number Theory
  • Numerical Analysis
  • Geometry and Topology
  • Discrete Mathematics and Combinatorics


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