Interval matrices: Regularity generates singularity

Jiri Rohn, Sergey P. Shary

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)


It is proved that regularity of an interval matrix implies singularity of four related interval matrices. The result is used to prove that for each nonsingular point matrix A, either A or A−1 can be brought to a singular matrix by perturbing only the diagonal entries by an amount of at most 1 each. As a consequence, the notion of a diagonally singularizable matrix is introduced.

Original languageEnglish
Pages (from-to)149-159
Number of pages11
JournalLinear Algebra and Its Applications
Publication statusPublished - 1 Mar 2018


  • Absolute value equation
  • Diagonally singularizable matrix
  • Interval matrix
  • P-matrix
  • Regularity
  • Singularity


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