Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8898028 | Linear Algebra and its Applications | 2018 | 11 Pages |
Abstract
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 Aâ1 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.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Jiri Rohn, Sergey P. Shary,